%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP034^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:10:27 AM UTC 2026
% Result : Theorem 1.22s 0.46s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP034^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:42:43 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.46 % (1086595)Will run a generic schedule for satisfiability detection.
% 0.68/0.46 % (1086605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1985467744:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.68/0.46 % (1086601)% WARNING: option uhcvi not known.
% 0.68/0.46 % (1086600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=203053212_2999 on theBenchmark for (2999ds/0Mi)
% 0.68/0.46 % (1086601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1452089473:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.68/0.46 % (1086602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=942846111:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.68/0.46 % (1086603)dis+10_1_sil=32000:sp=arity:random_seed=2033263532:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.68/0.46 % (1086606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=821581178:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.68/0.46 % (1086604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3104041614:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.68/0.46 % (1086601)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.68/0.46 % (1086604)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.68/0.46 % (1086605)Instruction limit reached!
% 0.68/0.46 % (1086605)------------------------------
% 0.68/0.46 % (1086605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.46 % (1086605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.46 % (1086605)CaDiCaL version: 2.1.3
% 0.68/0.46 % (1086605)Termination reason: Instruction limit
% 0.68/0.46 % (1086605)Termination phase: Saturation
% 0.68/0.46 % (1086605)Time elapsed: 0.031 s
% 0.68/0.46 % (1086605)Peak memory usage: 13 MB
% 0.68/0.46 % (1086605)Instructions burned: 132 (million)
% 0.68/0.46 % Exception at run slice level
% 0.68/0.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.68/0.46 % (1086601)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.68/0.46 % (1086614)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1438472124:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.68/0.46 % (1086603)Instruction limit reached!
% 0.68/0.46 % (1086603)------------------------------
% 0.68/0.46 % (1086603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.46 % (1086603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.46 % (1086603)CaDiCaL version: 2.1.3
% 0.68/0.46 % (1086603)Termination reason: Instruction limit
% 0.68/0.46 % (1086603)Termination phase: Saturation
% 0.68/0.46 % (1086603)Time elapsed: 0.044 s
% 0.68/0.46 % (1086603)Peak memory usage: 12 MB
% 0.68/0.46 % (1086603)Instructions burned: 103 (million)
% 0.68/0.46 % (1086604)Instruction limit reached!
% 0.68/0.46 % (1086604)------------------------------
% 0.68/0.46 % (1086604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.46 % (1086604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.46 % (1086604)CaDiCaL version: 2.1.3
% 0.68/0.46 % (1086604)Termination reason: Instruction limit
% 1.22/0.46 % (1086604)Termination phase: Saturation
% 1.22/0.46 % (1086604)Time elapsed: 0.050 s
% 1.22/0.46 % (1086604)Peak memory usage: 12 MB
% 1.22/0.46 % (1086604)Instructions burned: 116 (million)
% 1.22/0.46 % Exception at run slice level
% 1.22/0.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.22/0.46 % (1086616)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1710226993:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.22/0.46 % (1086619)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1004188952:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.22/0.46 % (1086617)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=2453725497:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.22/0.46 % (1086618)ott-21_1_sil=16000:fs=off:random_seed=2917638149:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.22/0.46 % (1086606)Instruction limit reached!
% 1.22/0.46 % (1086606)------------------------------
% 1.22/0.46 % (1086606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.46 % (1086606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.46 % (1086606)CaDiCaL version: 2.1.3
% 1.22/0.46 % (1086606)Termination reason: Instruction limit
% 1.22/0.46 % (1086606)Termination phase: Saturation
% 1.22/0.46 % (1086606)Time elapsed: 0.072 s
% 1.22/0.46 % (1086606)Peak memory usage: 13 MB
% 1.22/0.46 % (1086606)Instructions burned: 161 (million)
% 1.22/0.46 % (1086617)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.22/0.46 % (1086624)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2870003924:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.22/0.46 % (1086617)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.22/0.46 % (1086616)Instruction limit reached!
% 1.22/0.46 % (1086616)------------------------------
% 1.22/0.46 % (1086616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.46 % (1086616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.46 % (1086616)CaDiCaL version: 2.1.3
% 1.22/0.46 % (1086616)Termination reason: Instruction limit
% 1.22/0.46 % (1086616)Termination phase: Saturation
% 1.22/0.46 % (1086616)Time elapsed: 0.058 s
% 1.22/0.46 % (1086616)Peak memory usage: 13 MB
% 1.22/0.46 % (1086616)Instructions burned: 131 (million)
% 1.22/0.46 % Exception at run slice level
% 1.22/0.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.22/0.46 % (1086626)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=782115733:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.22/0.46 % (1086627)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1368893906:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.22/0.46 % (1086618)Instruction limit reached!
% 1.22/0.46 % (1086618)------------------------------
% 1.22/0.46 % (1086618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.46 % (1086618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.46 % (1086618)CaDiCaL version: 2.1.3
% 1.22/0.46 % (1086618)Termination reason: Instruction limit
% 1.22/0.46 % (1086618)Termination phase: Saturation
% 1.22/0.46 % (1086618)Time elapsed: 0.081 s
% 1.22/0.46 % (1086618)Peak memory usage: 13 MB
% 1.22/0.46 % (1086618)Instructions burned: 180 (million)
% 1.22/0.46 % (1086617) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1086595-1086617"...
% 1.22/0.46 % (1086617)...printing done.
% 1.22/0.46 % (1086630)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=706364275:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.22/0.46 % (1086617)Refutation found. Thanks to Tanya!
% 1.22/0.46 % SZS status Theorem for theBenchmark
% 1.22/0.46 % SZS output start Proof for theBenchmark
% 1.22/0.46 thf(type_def_5, type, binary1291135688e_Tree: $tType > $tType).
% 1.22/0.46 thf(type_def_6, type, set: $tType > $tType).
% 1.22/0.46 thf(type_def_7, type, int: $tType).
% 1.22/0.46 thf(type_def_8, type, a: $tType).
% 1.22/0.46 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.22/0.46 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_8, type, linordered_idom: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_9, type, semilattice_sup: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_10, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_11, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_12, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 1.22/0.46 thf(func_def_13, type, binary210054475elle_T: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_14, type, binary1746293266le_Tip: !>[X0: $tType]:(binary1291135688e_Tree @ X0)).
% 1.22/0.46 thf(func_def_15, type, binary1830089824insert: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_16, type, binary827270440e_memb: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > $o))).
% 1.22/0.46 thf(func_def_17, type, binary997842527remove: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_18, type, binary576689334lle_rm: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > X0))).
% 1.22/0.46 thf(func_def_19, type, binary1653327646_setOf: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > set @ X0))).
% 1.22/0.46 thf(func_def_20, type, binary1610619414edTree: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > $o))).
% 1.22/0.46 thf(func_def_21, type, binary231205461t_pred: !>[X0: $tType]:(((X0 > int) > X0 > X0 > binary1291135688e_Tree @ X0 > $o))).
% 1.22/0.46 thf(func_def_22, type, binary213313527le_wrm: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_23, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.22/0.46 thf(func_def_24, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.22/0.46 thf(func_def_25, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.22/0.46 thf(func_def_28, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.22/0.46 thf(func_def_29, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.22/0.46 thf(func_def_30, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.22/0.46 thf(func_def_31, type, h: (a > int)).
% 1.22/0.46 thf(func_def_32, type, l: a).
% 1.22/0.46 thf(func_def_33, type, t1: binary1291135688e_Tree @ a).
% 1.22/0.46 thf(func_def_34, type, t2: binary1291135688e_Tree @ a).
% 1.22/0.46 thf(func_def_35, type, x: a).
% 1.22/0.46 thf(func_def_39, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_40, type, vAND: ($o > $o > $o)).
% 1.22/0.46 thf(func_def_41, type, vOR: ($o > $o > $o)).
% 1.22/0.46 thf(func_def_42, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.22/0.46 thf(func_def_43, type, vIMP: ($o > $o > $o)).
% 1.22/0.46 thf(func_def_44, type, db0: !>[X0: $tType]:(X0)).
% 1.22/0.46 thf(func_def_45, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.22/0.46 thf(func_def_46, type, db3: !>[X0: $tType]:(X0)).
% 1.22/0.46 thf(func_def_47, type, db2: !>[X0: $tType]:(X0)).
% 1.22/0.46 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 1.22/0.46 thf(func_def_49, type, vNOT: ($o > $o)).
% 1.22/0.46 thf(func_def_50, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.22/0.46 thf(func_def_51, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_52, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_53, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.22/0.46 thf(func_def_54, type, sK3: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 1.22/0.46 thf(func_def_55, type, sK4: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_56, type, sK5: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_57, type, sK6: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_58, type, sK7: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_59, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_60, type, sK9: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_61, type, sK10: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_62, type, sK11: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_63, type, sK12: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > X0))).
% 1.22/0.46 thf(func_def_64, type, sK13: !>[X0: $tType]:((binary1291135688e_Tree @ X0 > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_65, type, sK14: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_66, type, sK15: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_67, type, sK16: !>[X0: $tType]:(((binary1291135688e_Tree @ X0 > $o) > binary1291135688e_Tree @ X0))).
% 1.22/0.46 thf(func_def_68, type, sK17: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_69, type, sK18: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_70, type, sK19: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_71, type, sK20: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_72, type, sK21: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_73, type, sK22: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_74, type, sK23: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_75, type, sK24: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_76, type, sK25: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_77, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_78, type, sK27: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 1.22/0.46 thf(func_def_79, type, sK28: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_80, type, sK29: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_81, type, sK30: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_82, type, sK31: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_83, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.22/0.46 thf(func_def_84, type, sK33: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_85, type, sK34: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 1.22/0.46 thf(func_def_86, type, sK35: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 1.22/0.46 thf(func_def_87, type, sK36: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_88, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_89, type, sK38: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_90, type, sK39: !>[X0: $tType]:((X0 > X0))).
% 1.22/0.46 thf(func_def_91, type, sK40: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.22/0.46 thf(func_def_92, type, sK41: !>[X0: $tType]:((set @ X0 > X0))).
% 1.22/0.46 thf(func_def_93, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_94, type, sK43: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.22/0.46 thf(func_def_95, type, sK44: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.22/0.46 thf(func_def_96, type, sK45: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.22/0.46 thf(func_def_97, type, sK46: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.22/0.46 thf(func_def_98, type, sK47: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_99, type, sK48: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_100, type, sK49: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_101, type, sK50: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_102, type, sK51: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_103, type, sK52: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_104, type, sK53: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.22/0.46 thf(func_def_105, type, sK54: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_106, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.22/0.46 thf(func_def_107, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.22/0.46 thf(func_def_108, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.22/0.46 thf(func_def_109, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.22/0.46 thf(func_def_110, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.22/0.46 thf(func_def_111, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.22/0.46 thf(func_def_112, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.22/0.46 thf(func_def_113, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.22/0.46 thf(func_def_114, type, sK63: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_115, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_116, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_117, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_118, type, sK67: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_119, type, sK68: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_120, type, sK69: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_121, type, sK70: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_122, type, sK71: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_123, type, sK72: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 1.22/0.46 thf(func_def_124, type, sK73: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 1.22/0.46 thf(func_def_125, type, sK74: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_126, type, sK75: !>[X0: $tType]:((set @ X0 > X0))).
% 1.22/0.46 thf(func_def_127, type, sK76: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_128, type, sK77: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.22/0.46 thf(func_def_129, type, sK78: !>[X0: $tType]:((set @ X0 > X0))).
% 1.22/0.46 thf(func_def_130, type, sK79: !>[X0: $tType]:(((X0 > int) > X0 > binary1291135688e_Tree @ X0 > X0))).
% 1.22/0.46 thf(func_def_131, type, sK80: !>[X0: $tType]:(((X0 > int) > binary1291135688e_Tree @ X0 > X0 > X0))).
% 1.22/0.46 thf(f1,axiom,(
% 1.22/0.46 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))),
% 1.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_hLess)).
% 1.22/0.46 thf(f2,axiom,(
% 1.22/0.46 (((binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))) = ((binary576689334lle_rm @ a @ h @ t2)))),
% 1.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_rm__res)).
% 1.22/0.46 thf(f289,conjecture,(
% 1.22/0.46 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 1.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.22/0.46 thf(f290,negated_conjecture,(
% 1.22/0.46 ~(ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 1.22/0.46 inference(negated_conjecture,[status(cth)],[f289])).
% 1.22/0.46 thf(f291,plain,(
% 1.22/0.46 (ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))),
% 1.22/0.46 inference(rectify,[],[f1])).
% 1.22/0.46 thf(f292,plain,(
% 1.22/0.46 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) = $true)),
% 1.22/0.46 inference(fool_elimination,[],[f291])).
% 1.22/0.46 thf(f800,plain,(
% 1.22/0.46 ~(ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 1.22/0.46 inference(rectify,[],[f290])).
% 1.22/0.46 thf(f801,plain,(
% 1.22/0.46 ~ (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) = $true)),
% 1.22/0.46 inference(fool_elimination,[],[f800])).
% 1.22/0.46 thf(f831,plain,(
% 1.22/0.46 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) != $true)),
% 1.22/0.46 inference(flattening,[],[f801])).
% 1.22/0.46 thf(f1109,plain,(
% 1.22/0.46 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) = $true)),
% 1.22/0.46 inference(cnf_transformation,[],[f292])).
% 1.22/0.46 thf(f1110,plain,(
% 1.22/0.46 (((binary576689334lle_rm @ a @ h @ t2)) = ((binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))),
% 1.22/0.46 inference(cnf_transformation,[],[f2])).
% 1.22/0.46 thf(f1459,plain,(
% 1.22/0.46 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ (binary210054475elle_T @ a @ t1 @ x @ t2))))) != $true)),
% 1.22/0.46 inference(cnf_transformation,[],[f831])).
% 1.22/0.46 thf(f3063,plain,(
% 1.22/0.46 (((ord_less @ int @ (h @ l) @ (h @ (binary576689334lle_rm @ a @ h @ t2)))) != $true)),
% 1.22/0.46 inference(constrained_superposition,[],[f1459,f1110])).
% 1.22/0.46 thf(f3070,plain,(
% 1.22/0.46 $false),
% 1.22/0.46 inference(forward_subsumption_resolution,[],[f3063,f1109])).
% 1.22/0.46 % SZS output end Proof for theBenchmark
% 1.22/0.46 % (1086617)------------------------------
% 1.22/0.46 % (1086617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.46 % (1086617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.46 % (1086617)CaDiCaL version: 2.1.3
% 1.22/0.46 % (1086617)Termination reason: Refutation
% 1.22/0.46 % (1086617)Time elapsed: 0.106 s
% 1.22/0.46 % (1086617)Peak memory usage: 15 MB
% 1.22/0.46 % (1086617)Instructions burned: 236 (million)
% 1.22/0.46 % (1086595)Success in time 0.219 s
% 1.22/0.46 % Vampire exiting
%------------------------------------------------------------------------------