%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP172^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:58 AM UTC 2026
% Result : Theorem 0.70s 0.37s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP172^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:05:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.37 % (3148110)Will run a generic schedule for satisfiability detection.
% 0.70/0.37 % (3148139)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3430067054:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.70/0.37 % (3148136)% WARNING: option uhcvi not known.
% 0.70/0.37 % (3148136)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2125808604:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.70/0.37 % (3148135)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=454975339_2999 on theBenchmark for (2999ds/0Mi)
% 0.70/0.37 % (3148137)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2277257821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.70/0.37 % (3148138)dis+10_1_sil=32000:sp=arity:random_seed=2542631058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.70/0.37 % (3148141)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3177060590:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.70/0.37 % (3148140)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3206875907:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.70/0.37 % (3148139)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.70/0.37 % (3148136)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.70/0.37 % (3148139)Instruction limit reached!
% 0.70/0.37 % (3148139)------------------------------
% 0.70/0.37 % (3148139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (3148139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (3148139)CaDiCaL version: 2.1.3
% 0.70/0.37 % (3148139)Termination reason: Instruction limit
% 0.70/0.37 % (3148139)Termination phase: Saturation
% 0.70/0.37 % (3148139)Time elapsed: 0.030 s
% 0.70/0.37 % (3148139)Peak memory usage: 13 MB
% 0.70/0.37 % (3148139)Instructions burned: 119 (million)
% 0.70/0.37 % (3148168)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=821796537:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.70/0.37 % (3148136)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.70/0.37 % Exception at run slice level
% 0.70/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.70/0.37 % (3148138)Instruction limit reached!
% 0.70/0.37 % (3148138)------------------------------
% 0.70/0.37 % (3148138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (3148138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (3148138)CaDiCaL version: 2.1.3
% 0.70/0.37 % (3148138)Termination reason: Instruction limit
% 0.70/0.37 % (3148138)Termination phase: Saturation
% 0.70/0.37 % (3148138)Time elapsed: 0.046 s
% 0.70/0.37 % (3148138)Peak memory usage: 12 MB
% 0.70/0.37 % (3148138)Instructions burned: 103 (million)
% 0.70/0.37 % Exception at run slice level
% 0.70/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.70/0.37 % (3148137) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3148110-3148137"...
% 0.70/0.37 % (3148140)Instruction limit reached!
% 0.70/0.37 % (3148140)------------------------------
% 0.70/0.37 % (3148140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (3148140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (3148140)CaDiCaL version: 2.1.3
% 0.70/0.37 % (3148140)Termination reason: Instruction limit
% 0.70/0.37 % (3148140)Termination phase: Saturation
% 0.70/0.37 % (3148140)Time elapsed: 0.066 s
% 0.70/0.37 % (3148140)Peak memory usage: 13 MB
% 0.70/0.37 % (3148140)Instructions burned: 131 (million)
% 0.70/0.37 % (3148177)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=990852053:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.70/0.37 % (3148137)...printing done.
% 0.70/0.37 % (3148137)Refutation found. Thanks to Tanya!
% 0.70/0.37 % SZS status Theorem for theBenchmark
% 0.70/0.37 % SZS output start Proof for theBenchmark
% 0.70/0.37 thf(type_def_5, type, rCharacterData_ext: $tType > $tType).
% 0.70/0.37 thf(type_def_6, type, rShadowRoot_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_7, type, character_data_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_8, type, rDocument_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_9, type, rElement_ext: ($tType * $tType * $tType * $tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_10, type, shadow_root_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_11, type, rObject_ext: $tType > $tType).
% 0.70/0.37 thf(type_def_12, type, document_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_13, type, rNode_ext: $tType > $tType).
% 0.70/0.37 thf(type_def_14, type, element_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_15, type, object_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_16, type, heap_Error_prog: ($tType * $tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_17, type, node_ptr: $tType > $tType).
% 0.70/0.37 thf(type_def_18, type, product_unit: $tType).
% 0.70/0.37 thf(type_def_19, type, product_prod: ($tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_20, type, heap: ($tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_21, type, sum_sum: ($tType * $tType) > $tType).
% 0.70/0.37 thf(type_def_22, type, option: $tType > $tType).
% 0.70/0.37 thf(type_def_23, type, char: $tType).
% 0.70/0.37 thf(type_def_24, type, list: $tType > $tType).
% 0.70/0.37 thf(type_def_25, type, fset: $tType > $tType).
% 0.70/0.37 thf(type_def_26, type, set: $tType > $tType).
% 0.70/0.37 thf(type_def_27, type, nat: $tType).
% 0.70/0.37 thf(type_def_28, type, l: $tType).
% 0.70/0.37 thf(type_def_29, type, k: $tType).
% 0.70/0.37 thf(type_def_30, type, j: $tType).
% 0.70/0.37 thf(type_def_31, type, i: $tType).
% 0.70/0.37 thf(type_def_32, type, h: $tType).
% 0.70/0.37 thf(type_def_33, type, g: $tType).
% 0.70/0.37 thf(type_def_34, type, f: $tType).
% 0.70/0.37 thf(type_def_35, type, e: $tType).
% 0.70/0.37 thf(type_def_36, type, d: $tType).
% 0.70/0.37 thf(type_def_37, type, c: $tType).
% 0.70/0.37 thf(type_def_38, type, b: $tType).
% 0.70/0.37 thf(type_def_39, type, a: $tType).
% 0.70/0.37 thf(type_def_40, type, sTfun: ($tType * $tType) > $tType).
% 0.70/0.37 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_3, type, bot: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_6, type, monoid_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_8, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_9, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_10, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_11, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_12, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_13, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_14, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_15, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_16, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 0.70/0.37 thf(func_def_17, type, rDocument_ext2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_unit > list @ char > option @ element_ptr @ X0 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > X3 > rDocument_ext @ X2 @ X0 @ X1 @ X3))).
% 0.70/0.37 thf(func_def_18, type, disconnected_nodes: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X0))).
% 0.70/0.37 thf(func_def_19, type, discon1635973971update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2) > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3))).
% 0.70/0.37 thf(func_def_20, type, doctype: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ char))).
% 0.70/0.37 thf(func_def_21, type, doctype_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ char > list @ char) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3))).
% 0.70/0.37 thf(func_def_22, type, document_element: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > option @ element_ptr @ X1))).
% 0.70/0.37 thf(func_def_23, type, docume446011358update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((option @ element_ptr @ X0 > option @ element_ptr @ X0) > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3))).
% 0.70/0.37 thf(func_def_24, type, more: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > X3))).
% 0.70/0.37 thf(func_def_25, type, more_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X0) > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0 > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0))).
% 0.70/0.37 thf(func_def_26, type, nothing: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > product_unit))).
% 0.70/0.37 thf(func_def_27, type, nothing_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_unit > product_unit) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3))).
% 0.70/0.37 thf(func_def_28, type, cast_D42511940_e_c_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 > rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X4 @ option @ X5 @ sum_sum @ rCharacterData_ext @ option @ X6 @ X7 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 @ X8))).
% 0.70/0.37 thf(func_def_29, type, cast_O1159777348_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > option @ rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7))).
% 0.70/0.37 thf(func_def_30, type, document_ptrs: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 > fset @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4))).
% 0.70/0.37 thf(func_def_31, type, get_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X3 @ X4 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X4 @ X2 @ X3 @ X0 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9 @ X10 > option @ rObject_ext @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9))).
% 0.70/0.37 thf(func_def_32, type, is_document_kind: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > $o))).
% 0.70/0.37 thf(func_def_33, type, put_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > rObject_ext @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10))).
% 0.70/0.37 thf(func_def_34, type, cast_d1427782271_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((document_ptr @ X0 > object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X3 @ sum_sum @ document_ptr @ X0 @ X4))).
% 0.70/0.37 thf(func_def_35, type, cast_o823910367_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ X3 @ X4 > option @ document_ptr @ X3))).
% 0.70/0.37 thf(func_def_36, type, document_Ext: !>[X0: $tType]:((X0 > document_ptr @ X0))).
% 0.70/0.37 thf(func_def_37, type, document_Ref: !>[X0: $tType]:((nat > document_ptr @ X0))).
% 0.70/0.37 thf(func_def_38, type, docume1907984069nt_ptr: !>[X0: $tType]:(((X0 > nat) > document_ptr @ X0 > nat))).
% 0.70/0.37 thf(func_def_39, type, is_doc697300620_p_t_r: !>[X0: $tType]:((document_ptr @ X0 > $o))).
% 0.70/0.37 thf(func_def_40, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.70/0.37 thf(func_def_41, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.70/0.37 thf(func_def_42, type, heap_Error_Prog: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > sum_sum @ X1 @ product_prod @ X2 @ X0) > heap_Error_prog @ X0 @ X1 @ X2))).
% 0.70/0.37 thf(func_def_43, type, heap_Error_size_prog: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > nat) > (X1 > nat) > (X2 > nat) > heap_Error_prog @ X0 @ X1 @ X2 > nat))).
% 0.70/0.37 thf(func_def_44, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_45, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 0.70/0.37 thf(func_def_46, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 0.70/0.37 thf(func_def_47, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_48, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_49, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.70/0.37 thf(func_def_50, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.70/0.37 thf(func_def_51, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 0.70/0.37 thf(func_def_52, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 0.70/0.37 thf(func_def_53, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.70/0.37 thf(func_def_54, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_55, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.70/0.37 thf(func_def_56, type, suc: (nat > nat)).
% 0.70/0.37 thf(func_def_57, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.70/0.37 thf(func_def_58, type, nat_set_decode: (nat > set @ nat)).
% 0.70/0.37 thf(func_def_59, type, nat_set_encode: (set @ nat > nat)).
% 0.70/0.37 thf(func_def_60, type, nat_triangle: (nat > nat)).
% 0.70/0.37 thf(func_def_61, type, rObject_ext2: !>[X0: $tType]:((product_unit > X0 > rObject_ext @ X0))).
% 0.70/0.37 thf(func_def_62, type, extend: !>[X0: $tType]:((rObject_ext @ product_unit > X0 > rObject_ext @ X0))).
% 0.70/0.37 thf(func_def_63, type, more2: !>[X0: $tType]:((rObject_ext @ X0 > X0))).
% 0.70/0.37 thf(func_def_64, type, nothing2: !>[X0: $tType]:((rObject_ext @ X0 > product_unit))).
% 0.70/0.37 thf(func_def_65, type, get_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:((object_ptr @ X0 > heap @ X0 @ X1 > option @ rObject_ext @ X1))).
% 0.70/0.37 thf(func_def_66, type, put_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:((object_ptr @ X0 > rObject_ext @ X1 > heap @ X0 @ X1 > heap @ X0 @ X1))).
% 0.70/0.37 thf(func_def_67, type, bind: !>[X0: $tType, X1: $tType]:((option @ X0 > (X0 > option @ X1) > option @ X1))).
% 0.70/0.37 thf(func_def_68, type, none: !>[X0: $tType]:(option @ X0)).
% 0.70/0.37 thf(func_def_69, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 0.70/0.37 thf(func_def_70, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 0.70/0.37 thf(func_def_71, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.70/0.37 thf(func_def_72, type, product_Unity: product_unit).
% 0.70/0.37 thf(func_def_73, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.70/0.37 thf(func_def_74, type, type_wf: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType, X11: $tType]:((heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ sum_sum @ rShadowRoot_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 @ X11 > $o))).
% 0.70/0.37 thf(func_def_75, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.70/0.37 thf(func_def_76, type, h2: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 0.70/0.37 thf(func_def_77, type, h3: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 0.70/0.37 thf(func_def_79, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_80, type, vAND: ($o > $o > $o)).
% 0.70/0.37 thf(func_def_83, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.70/0.37 thf(func_def_84, type, db1: !>[X0: $tType]:(X0)).
% 0.70/0.37 thf(func_def_85, type, db0: !>[X0: $tType]:(X0)).
% 0.70/0.37 thf(func_def_86, type, vNOT: ($o > $o)).
% 0.70/0.37 thf(func_def_87, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.37 thf(func_def_88, type, vOR: ($o > $o > $o)).
% 0.70/0.37 thf(func_def_89, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.37 thf(func_def_90, type, vIMP: ($o > $o > $o)).
% 0.70/0.37 thf(func_def_91, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 0.70/0.37 thf(func_def_92, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > product_unit))).
% 0.70/0.37 thf(func_def_93, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > product_unit))).
% 0.70/0.37 thf(func_def_94, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > list @ char))).
% 0.70/0.37 thf(func_def_95, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > option @ element_ptr @ X0))).
% 0.70/0.37 thf(func_def_96, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2))).
% 0.70/0.37 thf(func_def_97, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > X3))).
% 0.70/0.37 thf(func_def_98, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit))).
% 0.70/0.37 thf(func_def_99, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit))).
% 0.70/0.37 thf(func_def_100, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ char))).
% 0.70/0.37 thf(func_def_101, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > option @ element_ptr @ X2))).
% 0.70/0.37 thf(func_def_102, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X1 @ X3))).
% 0.70/0.37 thf(func_def_103, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_104, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > product_unit))).
% 0.70/0.37 thf(func_def_105, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > product_unit))).
% 0.70/0.37 thf(func_def_106, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > list @ char))).
% 0.70/0.37 thf(func_def_107, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > option @ element_ptr @ X1))).
% 0.70/0.37 thf(func_def_108, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X2 @ X1 @ X0 @ product_unit > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2))).
% 0.70/0.37 thf(func_def_109, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > product_unit))).
% 0.70/0.37 thf(func_def_110, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > product_unit))).
% 0.70/0.37 thf(func_def_111, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > list @ char))).
% 0.70/0.37 thf(func_def_112, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > option @ element_ptr @ X0))).
% 0.70/0.37 thf(func_def_113, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ product_unit > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2))).
% 0.70/0.37 thf(func_def_114, type, sK23: ((rObject_ext @ product_unit > $o) > product_unit)).
% 0.70/0.37 thf(func_def_115, type, sK24: (rObject_ext @ product_unit > product_unit)).
% 0.70/0.37 thf(func_def_116, type, sK25: !>[X0: $tType]:(((rObject_ext @ X0 > $o) > product_unit))).
% 0.70/0.37 thf(func_def_117, type, sK26: !>[X0: $tType]:(((rObject_ext @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_118, type, sK27: !>[X0: $tType]:((rObject_ext @ X0 > product_unit))).
% 0.70/0.37 thf(func_def_119, type, sK28: !>[X0: $tType]:((rObject_ext @ X0 > X0))).
% 0.70/0.37 thf(func_def_120, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > product_unit))).
% 0.70/0.37 thf(func_def_121, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ char))).
% 0.70/0.37 thf(func_def_122, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > option @ element_ptr @ X2))).
% 0.70/0.37 thf(func_def_123, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X1 @ X3))).
% 0.70/0.37 thf(func_def_124, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X3 @ X2 @ X1 @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_125, type, sK34: (nat > nat)).
% 0.70/0.37 thf(func_def_126, type, sK35: ((nat > $o) > nat)).
% 0.70/0.37 thf(func_def_127, type, sK36: (nat > nat)).
% 0.70/0.37 thf(func_def_128, type, sK37: ((nat > $o) > nat)).
% 0.70/0.37 thf(func_def_129, type, sK38: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_130, type, sK39: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_131, type, sK40: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_132, type, sK41: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_133, type, sK42: ((nat > $o) > nat)).
% 0.70/0.37 thf(func_def_134, type, sK43: ((nat > $o) > nat)).
% 0.70/0.37 thf(func_def_135, type, sK44: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 0.70/0.37 thf(func_def_136, type, sK45: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_137, type, sK46: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 0.70/0.37 thf(func_def_138, type, sK47: (nat > nat)).
% 0.70/0.37 thf(func_def_139, type, sK48: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_140, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.70/0.37 thf(func_def_141, type, sK50: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0 > X0))).
% 0.70/0.37 thf(func_def_142, type, sK51: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0 > X0))).
% 0.70/0.37 thf(func_def_143, type, sK52: ((list @ char > list @ char) > (list @ char > list @ char) > list @ char > list @ char)).
% 0.70/0.37 thf(func_def_144, type, sK53: !>[X0: $tType]:(((option @ element_ptr @ X0 > option @ element_ptr @ X0) > (option @ element_ptr @ X0 > option @ element_ptr @ X0) > option @ element_ptr @ X0 > option @ element_ptr @ X0))).
% 0.70/0.37 thf(func_def_145, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2) > (list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2) > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2))).
% 0.70/0.37 thf(func_def_146, type, sK55: ((list @ char > list @ char) > (list @ char > list @ char) > list @ char > list @ char)).
% 0.70/0.37 thf(func_def_147, type, sK56: !>[X0: $tType]:(((option @ element_ptr @ X0 > option @ element_ptr @ X0) > (option @ element_ptr @ X0 > option @ element_ptr @ X0) > option @ element_ptr @ X0 > option @ element_ptr @ X0))).
% 0.70/0.37 thf(func_def_148, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2) > (list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2) > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X0 @ X2))).
% 0.70/0.37 thf(func_def_149, type, sK58: ((product_unit > product_unit) > (product_unit > product_unit) > product_unit > product_unit)).
% 0.70/0.37 thf(func_def_150, type, sK59: ((product_unit > product_unit) > (product_unit > product_unit) > product_unit > product_unit)).
% 0.70/0.37 thf(func_def_151, type, sK60: !>[X0: $tType]:((nat > list @ X0))).
% 0.70/0.37 thf(func_def_152, type, sK61: !>[X0: $tType]:(((document_ptr @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_153, type, sK62: !>[X0: $tType]:(((document_ptr @ X0 > $o) > nat))).
% 0.70/0.37 thf(func_def_154, type, sK63: !>[X0: $tType]:((document_ptr @ X0 > X0))).
% 0.70/0.37 thf(func_def_155, type, sK64: !>[X0: $tType]:((document_ptr @ X0 > nat))).
% 0.70/0.37 thf(func_def_156, type, sK65: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_157, type, sK66: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_158, type, sK67: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_159, type, sK68: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_160, type, sK69: ((nat > nat > $o) > nat)).
% 0.70/0.37 thf(func_def_161, type, sK70: !>[X0: $tType]:((option @ X0 > X0))).
% 0.70/0.37 thf(func_def_162, type, sK71: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_163, type, sK72: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 0.70/0.37 thf(func_def_164, type, sK73: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 0.70/0.37 thf(func_def_165, type, sK74: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.70/0.37 thf(func_def_166, type, sK75: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_167, type, sK76: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.70/0.37 thf(func_def_168, type, sK77: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.70/0.37 thf(func_def_169, type, sK78: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_170, type, sK79: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_171, type, sK80: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_172, type, sK81: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_173, type, sK82: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.70/0.37 thf(func_def_174, type, sK83: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_175, type, sK84: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_176, type, sK85: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_177, type, sK86: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_178, type, sK87: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_179, type, sK88: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.70/0.37 thf(func_def_180, type, sK89: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_181, type, sK90: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_182, type, sK91: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_183, type, sK92: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_184, type, sK93: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_185, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_186, type, sK95: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_187, type, sK96: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_188, type, sK97: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_189, type, sK98: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_190, type, sK99: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_191, type, sK100: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_192, type, sK101: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_193, type, sK102: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_194, type, sK103: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_195, type, sK104: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_196, type, sK105: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_197, type, sK106: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_198, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_199, type, sK108: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_200, type, sK109: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_201, type, sK110: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_202, type, sK111: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_203, type, sK112: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_204, type, sK113: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_205, type, sK114: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_206, type, sK115: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_207, type, sK116: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_208, type, sK117: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_209, type, sK118: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_210, type, sK119: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_211, type, sK120: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.70/0.37 thf(func_def_212, type, sK121: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.70/0.37 thf(func_def_213, type, sK122: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_214, type, sK123: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_215, type, sK124: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_216, type, sK125: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 0.70/0.37 thf(func_def_217, type, sK126: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_218, type, sK127: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_219, type, sK128: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_220, type, sK129: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_221, type, sK130: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_222, type, sK131: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_223, type, sK132: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_224, type, sK133: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.70/0.37 thf(func_def_225, type, sK134: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_226, type, sK135: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_227, type, sK136: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_228, type, sK137: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.70/0.37 thf(func_def_229, type, sK138: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.70/0.37 thf(func_def_230, type, sK139: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_231, type, sK140: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_232, type, sK141: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.70/0.37 thf(func_def_233, type, sK142: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_234, type, sK143: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_235, type, sK144: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_236, type, sK145: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_237, type, sK146: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_238, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X1))).
% 0.70/0.37 thf(func_def_239, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_240, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X2))).
% 0.70/0.37 thf(func_def_241, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X2))).
% 0.70/0.37 thf(func_def_242, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X0))).
% 0.70/0.37 thf(func_def_243, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_244, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > X3))).
% 0.70/0.37 thf(func_def_245, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X1 > list @ X2 > list @ X0 > list @ X3 > $o) > list @ X3))).
% 0.70/0.37 thf(func_def_246, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X1))).
% 0.70/0.37 thf(func_def_247, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_248, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X0))).
% 0.70/0.37 thf(func_def_249, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_250, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > X2))).
% 0.70/0.37 thf(func_def_251, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X0 > list @ X2 > $o) > list @ X2))).
% 0.70/0.37 thf(func_def_252, type, sK161: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.70/0.37 thf(func_def_253, type, sK162: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_254, type, sK163: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.70/0.37 thf(func_def_255, type, sK164: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.70/0.37 thf(func_def_256, type, sK165: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 0.70/0.37 thf(func_def_257, type, sK166: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_258, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3 > heap_Error_prog @ X0 @ X1 @ X2))).
% 0.70/0.37 thf(func_def_259, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3))).
% 0.70/0.37 thf(func_def_260, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > list @ X3))).
% 0.70/0.37 thf(func_def_261, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3 > heap_Error_prog @ X0 @ X1 @ X2))).
% 0.70/0.37 thf(func_def_262, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3 > heap_Error_prog @ X0 @ X1 @ X2))).
% 0.70/0.37 thf(func_def_263, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3))).
% 0.70/0.37 thf(func_def_264, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > list @ X3))).
% 0.70/0.37 thf(func_def_265, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X3 > heap_Error_prog @ X0 @ X1 @ X2) > list @ X3 > $o) > X3 > heap_Error_prog @ X0 @ X1 @ X2))).
% 0.70/0.37 thf(func_def_266, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > heap_Error_prog @ X0 @ X1 @ $o) > list @ X2 > $o) > X2 > heap_Error_prog @ X0 @ X1 @ $o))).
% 0.70/0.37 thf(func_def_267, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > heap_Error_prog @ X0 @ X1 @ $o) > list @ X2 > $o) > X2))).
% 0.70/0.37 thf(func_def_268, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > heap_Error_prog @ X0 @ X1 @ $o) > list @ X2 > $o) > list @ X2))).
% 0.70/0.37 thf(func_def_269, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > heap_Error_prog @ X0 @ X1 @ $o) > list @ X2 > $o) > X2 > heap_Error_prog @ X0 @ X1 @ $o))).
% 0.70/0.37 thf(func_def_270, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0))).
% 0.70/0.37 thf(func_def_271, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > X0))).
% 0.70/0.37 thf(func_def_272, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > X3))).
% 0.70/0.37 thf(func_def_273, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > list @ X3))).
% 0.70/0.37 thf(func_def_274, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0))).
% 0.70/0.37 thf(func_def_275, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > X3 > heap_Error_prog @ X2 @ X1 @ X0) > X0 > list @ X3 > $o) > X0))).
% 0.70/0.37 thf(func_def_276, type, sK185: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > (X1 > option @ X0) > option @ X1 > X1))).
% 0.70/0.37 thf(func_def_277, type, sK186: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_278, type, sK187: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_279, type, sK188: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_280, type, sK189: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_281, type, sK190: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_282, type, sK191: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.70/0.37 thf(func_def_283, type, sK192: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.70/0.37 thf(func_def_284, type, sK193: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_285, type, sK194: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_286, type, sK195: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_287, type, sK196: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > X0 > option @ X1 > X1))).
% 0.70/0.37 thf(func_def_288, type, sK197: !>[X0: $tType, X1: $tType]:((option @ X1 > (X1 > option @ X0) > (option @ X0 > $o) > X1))).
% 0.70/0.37 thf(func_def_289, type, sK198: !>[X0: $tType, X1: $tType]:((option @ X1 > (X1 > option @ X0) > (option @ X0 > $o) > X1))).
% 0.70/0.37 thf(func_def_290, type, sK199: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_291, type, sK200: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 0.70/0.37 thf(func_def_292, type, sK201: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 0.70/0.37 thf(func_def_293, type, sK202: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.70/0.37 thf(func_def_294, type, sK203: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.70/0.37 thf(func_def_295, type, sK204: !>[X0: $tType]:((list @ X0 > X0))).
% 0.70/0.37 thf(func_def_296, type, sK205: !>[X0: $tType]:((option @ X0 > X0))).
% 0.70/0.37 thf(func_def_297, type, sK206: !>[X0: $tType]:((option @ X0 > X0))).
% 0.70/0.37 thf(func_def_298, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X4 @ X6 @ X5 @ X2 @ option @ X3 @ sum_sum @ rCharacterData_ext @ option @ X0 @ X1 @ sum_sum @ rDocument_ext @ X4 @ X6 @ X5 @ option @ X8 @ X7 > rObject_ext @ rDocument_ext @ X4 @ X6 @ X5 @ option @ X8))).
% 0.70/0.37 thf(f92,axiom,(
% 0.70/0.37 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5) = ~ ? [X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : (((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10)) = X9))),
% 0.70/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none)).
% 0.70/0.37 thf(f94,axiom,(
% 0.70/0.37 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : (is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 = (^[X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1))))),
% 0.70/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_is__document__kind__def)).
% 0.70/0.37 thf(f308,conjecture,(
% 0.70/0.37 (is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 0.70/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 0.70/0.37 thf(f309,negated_conjecture,(
% 0.70/0.37 ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 0.70/0.37 inference(negated_conjecture,[status(cth)],[f308])).
% 0.70/0.37 thf(f357,plain,(
% 0.70/0.37 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)) = ((~ (?? @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ (^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9))))))),
% 0.70/0.37 inference(fool_elimination,[],[f92])).
% 0.70/0.37 thf(f360,plain,(
% 0.70/0.37 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : (is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0]: (~ ((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ Y0) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1))))),
% 0.70/0.37 inference(fool_elimination,[],[f94])).
% 0.70/0.37 thf(f618,plain,(
% 0.70/0.37 ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 0.70/0.37 inference(rectify,[],[f309])).
% 0.70/0.37 thf(f619,plain,(
% 0.70/0.37 ~ (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) = $true)),
% 0.70/0.37 inference(fool_elimination,[],[f618])).
% 0.70/0.37 thf(f625,plain,(
% 0.70/0.37 (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) != $true)),
% 0.70/0.37 inference(flattening,[],[f619])).
% 0.70/0.37 thf(f1014,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)) = ((~ (?? @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ (^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9))))))) )),
% 0.70/0.37 inference(cnf_transformation,[],[f357])).
% 0.70/0.37 thf(f1016,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType] : ((is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0]: (~ ((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ Y0) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1))))) )),
% 0.70/0.37 inference(cnf_transformation,[],[f360])).
% 0.70/0.37 thf(f1279,plain,(
% 0.70/0.37 (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) != $true)),
% 0.70/0.37 inference(cnf_transformation,[],[f625])).
% 0.70/0.37 thf(f1289,plain,(
% 0.70/0.37 ($true != (((^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l]: (~ ((cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ Y0) = none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))) @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))))),
% 0.70/0.37 inference(definition_unfolding,[],[f1279,f1016])).
% 0.70/0.37 thf(f1353,plain,(
% 0.70/0.37 ($true != ((~ ((cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) = none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 0.70/0.37 inference(beta-eta_normalization,[],[f1289])).
% 0.70/0.37 thf(f1354,plain,(
% 0.70/0.37 ($true = (((cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))) = none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))),
% 0.70/0.37 inference(not_proxy_clausification,[],[f1353])).
% 0.70/0.37 thf(f1355,plain,(
% 0.70/0.37 (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = ((cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))))),
% 0.70/0.37 inference(equality_proxy_clausification,[],[f1354])).
% 0.70/0.37 thf(f1887,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : (((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9) = none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)) = $false) | ($true = ((~ (?? @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ (^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9))))))) )),
% 0.70/0.37 inference(iff_proxy_clausification,[],[f1014])).
% 0.70/0.37 thf(f1888,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5) | ($true = ((~ (?? @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ (^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9))))))) )),
% 0.70/0.37 inference(equality_proxy_clausification,[],[f1887])).
% 0.70/0.37 thf(f1889,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5) | (((?? @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ (^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9)))) = $false)) )),
% 0.70/0.37 inference(not_proxy_clausification,[],[f1888])).
% 0.70/0.37 thf(f1890,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5) | ($false = (((^[Y0 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5]: ((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ Y0) = X9)) @ X10)))) )),
% 0.70/0.37 inference(pi_proxy_clausification,[],[f1889])).
% 0.70/0.37 thf(f1891,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5) | ($false = (((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10) = X9)))) )),
% 0.70/0.37 inference(beta-eta_normalization,[],[f1890])).
% 0.70/0.37 thf(f1892,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5,X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X0 @ option @ X1 @ sum_sum @ rCharacterData_ext @ option @ X2 @ X3 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X4] : ((((cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X10)) != X9) | (((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X0 @ X1 @ X2 @ X3 @ X5 @ X4 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5)) )),
% 0.70/0.37 inference(equality_proxy_clausification,[],[f1891])).
% 0.70/0.37 thf(f2035,plain,(
% 0.70/0.37 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7] : ((((cast_O1159777348_e_n_t @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ (cast_D42511940_e_c_t @ X0 @ X1 @ X2 @ X7 @ X3 @ X4 @ X5 @ X6 @ X8 @ X9))) != none @ rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7)) )),
% 0.70/0.37 inference(equality_resolution,[],[f1892])).
% 0.70/0.37 thf(f2040,plain,(
% 0.70/0.37 $false),
% 0.70/0.37 inference(forward_subsumption_resolution,[],[f1355,f2035])).
% 0.70/0.37 % SZS output end Proof for theBenchmark
% 0.70/0.37 % (3148137)------------------------------
% 0.70/0.37 % (3148137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (3148137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (3148137)CaDiCaL version: 2.1.3
% 0.70/0.37 % (3148137)Termination reason: Refutation
% 0.70/0.37 % (3148137)Time elapsed: 0.066 s
% 0.70/0.37 % (3148137)Peak memory usage: 14 MB
% 0.70/0.37 % (3148137)Instructions burned: 139 (million)
% 0.70/0.37 % (3148110)Success in time 0.135 s
% 0.70/0.37 % Vampire exiting
%------------------------------------------------------------------------------