%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT144^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 07:48:57 AM UTC 2026
% Result : Theorem 0.70s 0.43s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT144^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:00:40 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.70/0.43 % (1105169)Will run a generic schedule for satisfiability detection.
% 0.70/0.43 % (1105192)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=553021937:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.70/0.43 % (1105191)% WARNING: option uhcvi not known.
% 0.70/0.43 % (1105190)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1422582179_2999 on theBenchmark for (2999ds/0Mi)
% 0.70/0.43 % (1105191)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=502746173:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.70/0.43 % (1105194)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3485850668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.70/0.43 % (1105195)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=542850066:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.70/0.43 % (1105193)dis+10_1_sil=32000:sp=arity:random_seed=3904523387:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.70/0.43 % (1105196)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4092031489:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.70/0.43 % (1105191)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.70/0.43 % (1105194)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.70/0.43 % Exception at run slice level
% 0.70/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.70/0.43 % (1105191)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.70/0.43 % (1105193)Instruction limit reached!
% 0.70/0.43 % (1105193)------------------------------
% 0.70/0.43 % (1105193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105193)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105193)Termination reason: Instruction limit
% 0.70/0.43 % (1105193)Termination phase: Saturation
% 0.70/0.43 % (1105193)Time elapsed: 0.045 s
% 0.70/0.43 % (1105193)Peak memory usage: 12 MB
% 0.70/0.43 % (1105193)Instructions burned: 103 (million)
% 0.70/0.43 % (1105194)Instruction limit reached!
% 0.70/0.43 % (1105194)------------------------------
% 0.70/0.43 % (1105194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105194)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105194)Termination reason: Instruction limit
% 0.70/0.43 % (1105194)Termination phase: Saturation
% 0.70/0.43 % (1105194)Time elapsed: 0.051 s
% 0.70/0.43 % (1105194)Peak memory usage: 12 MB
% 0.70/0.43 % (1105194)Instructions burned: 118 (million)
% 0.70/0.43 % (1105223)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2737763710:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.70/0.43 % (1105195)Instruction limit reached!
% 0.70/0.43 % (1105195)------------------------------
% 0.70/0.43 % (1105195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105195)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105195)Termination reason: Instruction limit
% 0.70/0.43 % (1105195)Termination phase: Saturation
% 0.70/0.43 % (1105195)Time elapsed: 0.061 s
% 0.70/0.43 % (1105195)Peak memory usage: 13 MB
% 0.70/0.43 % (1105195)Instructions burned: 132 (million)
% 0.70/0.43 % (1105229)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3509266772:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.70/0.43 % (1105233)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=4240871806:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.70/0.43 % (1105196)Instruction limit reached!
% 0.70/0.43 % (1105196)------------------------------
% 0.70/0.43 % (1105196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105196)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105196)Termination reason: Instruction limit
% 0.70/0.43 % (1105196)Termination phase: Saturation
% 0.70/0.43 % (1105196)Time elapsed: 0.074 s
% 0.70/0.43 % (1105196)Peak memory usage: 13 MB
% 0.70/0.43 % (1105196)Instructions burned: 160 (million)
% 0.70/0.43 % (1105241)ott-21_1_sil=16000:fs=off:random_seed=3962198452:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.70/0.43 % (1105233)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.70/0.43 % Exception at run slice level
% 0.70/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.70/0.43 % (1105248)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4265893788:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.70/0.43 % (1105253)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=854756399:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.70/0.43 % (1105233)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.70/0.43 % (1105229)Instruction limit reached!
% 0.70/0.43 % (1105229)------------------------------
% 0.70/0.43 % (1105229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105229)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105229)Termination reason: Instruction limit
% 0.70/0.43 % (1105229)Termination phase: Saturation
% 0.70/0.43 % (1105229)Time elapsed: 0.058 s
% 0.70/0.43 % (1105229)Peak memory usage: 13 MB
% 0.70/0.43 % (1105229)Instructions burned: 131 (million)
% 0.70/0.43 % (1105233) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1105169-1105233"...
% 0.70/0.43 % (1105233)...printing done.
% 0.70/0.43 % (1105233)Refutation found. Thanks to Tanya!
% 0.70/0.43 % SZS status Theorem for theBenchmark
% 0.70/0.43 % SZS output start Proof for theBenchmark
% 0.70/0.43 thf(type_def_5, type, extended_enat: $tType).
% 0.70/0.43 thf(type_def_6, type, real: $tType).
% 0.70/0.43 thf(type_def_7, type, set: $tType > $tType).
% 0.70/0.43 thf(type_def_8, type, num: $tType).
% 0.70/0.43 thf(type_def_9, type, nat: $tType).
% 0.70/0.43 thf(type_def_10, type, int: $tType).
% 0.70/0.43 thf(type_def_11, type, itself: $tType > $tType).
% 0.70/0.43 thf(type_def_12, type, a: $tType).
% 0.70/0.43 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.70/0.43 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_1, type, ring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_7, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_8, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_9, type, boolean_algebra: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_10, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_11, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_12, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_13, type, archim1727834104eiling: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_14, type, topolo47006728_space: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_15, type, comple187826305attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_16, type, archim1804426504_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_17, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.43 thf(func_def_18, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 0.70/0.43 thf(func_def_19, type, archim2085082626_floor: !>[X0: $tType]:((X0 > int))).
% 0.70/0.43 thf(func_def_20, type, archimedean_round: !>[X0: $tType]:((X0 > int))).
% 0.70/0.43 thf(func_def_21, type, bNF_pred_DEADID: !>[X0: $tType]:((X0 > $o))).
% 0.70/0.43 thf(func_def_22, type, bNF_Grp: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0 > X1 > $o))).
% 0.70/0.43 thf(func_def_23, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_24, type, extended_enat2: (nat > extended_enat)).
% 0.70/0.43 thf(func_def_25, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.70/0.43 thf(func_def_26, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.70/0.43 thf(func_def_27, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_28, type, undefined: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_29, type, hilbert_GreatestM: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_30, type, hilbert_LeastM: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_31, type, nat2: (int > nat)).
% 0.70/0.43 thf(func_def_32, type, neg: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > $o))).
% 0.70/0.43 thf(func_def_33, type, pos: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > $o))).
% 0.70/0.43 thf(func_def_34, type, quotient: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > (X0 > X1 > $o) > $o))).
% 0.70/0.43 thf(func_def_35, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.70/0.43 thf(func_def_36, type, nat_tr1645093318rphism: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > $o))).
% 0.70/0.43 thf(func_def_37, type, nat_tsub: (int > int > int)).
% 0.70/0.43 thf(func_def_38, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 0.70/0.43 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_40, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.70/0.43 thf(func_def_41, type, top_top: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_42, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.70/0.43 thf(func_def_43, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 0.70/0.43 thf(func_def_44, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.70/0.43 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.70/0.43 thf(func_def_46, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 0.70/0.43 thf(func_def_47, type, topolo406746546ounded: !>[X0: $tType]:((set @ X0 > $o))).
% 0.70/0.43 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.70/0.43 thf(func_def_49, type, p: (a > $o)).
% 0.70/0.43 thf(func_def_50, type, x: a).
% 0.70/0.43 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 0.70/0.43 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_57, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_58, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.70/0.43 thf(func_def_59, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.43 thf(func_def_60, type, vIMP: ($o > $o > $o)).
% 0.70/0.43 thf(func_def_61, type, db2: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_63, type, db5: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_64, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.43 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 0.70/0.43 thf(func_def_67, type, vNOT: ($o > $o)).
% 0.70/0.43 thf(func_def_68, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_69, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_70, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.70/0.43 thf(func_def_71, type, sK3: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 0.70/0.43 thf(func_def_72, type, sK4: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_73, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_74, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_75, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.70/0.43 thf(func_def_76, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_77, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_78, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_79, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_80, type, sK12: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_81, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_82, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_83, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_84, type, sK16: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_85, type, sK17: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_86, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_87, type, sK19: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_88, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_89, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_90, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_91, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_92, type, sK24: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_93, type, sK25: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_94, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 0.70/0.43 thf(func_def_95, type, sK27: !>[X0: $tType]:(X0)).
% 0.70/0.43 thf(func_def_96, type, sK28: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.70/0.43 thf(func_def_97, type, sK29: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_98, type, sK30: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_99, type, sK31: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_100, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0 > $o) > X1))).
% 0.70/0.43 thf(func_def_101, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_102, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_103, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_104, type, sK36: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_105, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_106, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_107, type, sK39: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.70/0.43 thf(func_def_108, type, sK40: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.70/0.43 thf(func_def_109, type, sK41: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.70/0.43 thf(func_def_110, type, sK42: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.70/0.43 thf(func_def_111, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_112, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_113, type, sK45: !>[X0: $tType]:((X0 > nat))).
% 0.70/0.43 thf(func_def_114, type, sK46: (int > nat)).
% 0.70/0.43 thf(func_def_115, type, sK47: (int > nat)).
% 0.70/0.43 thf(func_def_116, type, sK48: (int > nat)).
% 0.70/0.43 thf(func_def_117, type, sK49: (set @ real > real)).
% 0.70/0.43 thf(func_def_118, type, sK50: (real > set @ real > real)).
% 0.70/0.43 thf(func_def_119, type, sK51: (real > set @ real > real)).
% 0.70/0.43 thf(func_def_120, type, sK52: (extended_enat > nat)).
% 0.70/0.43 thf(func_def_121, type, sK53: ((int > $o) > int)).
% 0.70/0.43 thf(func_def_122, type, sK54: ((int > $o) > nat)).
% 0.70/0.43 thf(func_def_123, type, sK55: ((int > $o) > nat)).
% 0.70/0.43 thf(func_def_124, type, sK56: ((int > $o) > int)).
% 0.70/0.43 thf(func_def_125, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_126, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_127, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_128, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_129, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_130, type, sK62: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_131, type, sK63: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0 > $o) > X1))).
% 0.70/0.43 thf(func_def_132, type, sK64: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.70/0.43 thf(func_def_133, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_134, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_135, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_136, type, sK68: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_137, type, sK69: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_138, type, sK70: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_139, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_140, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_141, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_142, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_143, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_144, type, sK76: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_145, type, sK77: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_146, type, sK78: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_147, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_148, type, sK80: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_149, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_150, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_151, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_152, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_153, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_154, type, sK86: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_155, type, sK87: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_156, type, sK88: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_157, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_158, type, sK90: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_159, type, sK91: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_160, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_161, type, sK93: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_162, type, sK94: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_163, type, sK95: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_164, type, sK96: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_165, type, sK97: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_166, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_167, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_168, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_169, type, sK101: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_170, type, sK102: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_171, type, sK103: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_172, type, sK104: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_173, type, sK105: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_174, type, sK106: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_175, type, sK107: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_176, type, sK108: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_177, type, sK109: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_178, type, sK110: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_179, type, sK111: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_180, type, sK112: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_181, type, sK113: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_182, type, sK114: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_183, type, sK115: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_184, type, sK116: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_185, type, sK117: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_186, type, sK118: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_187, type, sK119: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_188, type, sK120: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_189, type, sK121: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_190, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_191, type, sK123: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_192, type, sK124: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_193, type, sK125: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_194, type, sK126: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_195, type, sK127: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_196, type, sK128: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_197, type, sK129: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_198, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_199, type, sK131: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_200, type, sK132: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X1))).
% 0.70/0.43 thf(func_def_201, type, sK133: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_202, type, sK134: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_203, type, sK135: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_204, type, sK136: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_205, type, sK137: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_206, type, sK138: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_207, type, sK139: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_208, type, sK140: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_209, type, sK141: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_210, type, sK142: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_211, type, sK143: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_212, type, sK144: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_213, type, sK145: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_214, type, sK146: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_215, type, sK147: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_216, type, sK148: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_217, type, sK149: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_218, type, sK150: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_219, type, sK151: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_220, type, sK152: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_221, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_222, type, sK154: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_223, type, sK155: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_224, type, sK156: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_225, type, sK157: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_226, type, sK158: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_227, type, sK159: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_228, type, sK160: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_229, type, sK161: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_230, type, sK162: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_231, type, sK163: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_232, type, sK164: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(func_def_233, type, sK165: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_234, type, sK166: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X0 > X1) > X0))).
% 0.70/0.43 thf(func_def_235, type, sK167: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X0))).
% 0.70/0.43 thf(func_def_236, type, sK168: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 0.70/0.43 thf(func_def_237, type, sK169: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0) > X1))).
% 0.70/0.43 thf(f4,axiom,(
% 0.70/0.43 ! [X0 : $tType,X1 : (X0 > $o),X2 : X0] : (((bNF_eq_onp @ X0 @ X1 @ X2 @ X2)) = ((X1 @ X2)))),
% 0.70/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_eq__onp__same__args)).
% 0.70/0.43 thf(f318,axiom,(
% 0.70/0.43 (p @ x)),
% 0.70/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.70/0.43 thf(f319,conjecture,(
% 0.70/0.43 (bNF_eq_onp @ a @ p @ x @ x)),
% 0.70/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.70/0.43 thf(f320,negated_conjecture,(
% 0.70/0.43 ~(bNF_eq_onp @ a @ p @ x @ x)),
% 0.70/0.43 inference(negated_conjecture,[status(cth)],[f319])).
% 0.70/0.43 thf(f902,plain,(
% 0.70/0.43 (p @ x)),
% 0.70/0.43 inference(rectify,[],[f318])).
% 0.70/0.43 thf(f903,plain,(
% 0.70/0.43 (((p @ x)) = $true)),
% 0.70/0.43 inference(fool_elimination,[],[f902])).
% 0.70/0.43 thf(f904,plain,(
% 0.70/0.43 ~(bNF_eq_onp @ a @ p @ x @ x)),
% 0.70/0.43 inference(rectify,[],[f320])).
% 0.70/0.43 thf(f905,plain,(
% 0.70/0.43 ~ (((bNF_eq_onp @ a @ p @ x @ x)) = $true)),
% 0.70/0.43 inference(fool_elimination,[],[f904])).
% 0.70/0.43 thf(f920,plain,(
% 0.70/0.43 (((bNF_eq_onp @ a @ p @ x @ x)) != $true)),
% 0.70/0.43 inference(flattening,[],[f905])).
% 0.70/0.43 thf(f1234,plain,(
% 0.70/0.43 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o)] : ((((bNF_eq_onp @ X0 @ X1 @ X2 @ X2)) = ((X1 @ X2)))) )),
% 0.70/0.43 inference(cnf_transformation,[],[f4])).
% 0.70/0.43 thf(f1602,plain,(
% 0.70/0.43 (((p @ x)) = $true)),
% 0.70/0.43 inference(cnf_transformation,[],[f903])).
% 0.70/0.43 thf(f1603,plain,(
% 0.70/0.43 (((bNF_eq_onp @ a @ p @ x @ x)) != $true)),
% 0.70/0.43 inference(cnf_transformation,[],[f920])).
% 0.70/0.43 thf(f2805,plain,(
% 0.70/0.43 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o)] : ((((bNF_eq_onp @ X0 @ X1 @ X2 @ X2)) = $true) | (((X1 @ X2)) = $false)) )),
% 0.70/0.43 inference(iff_proxy_clausification,[],[f1234])).
% 0.70/0.43 thf(f2867,plain,(
% 0.70/0.43 ($true != $true) | (((p @ x)) = $false)),
% 0.70/0.43 inference(constrained_superposition,[],[f1603,f2805])).
% 0.70/0.43 thf(f2872,plain,(
% 0.70/0.43 (((p @ x)) = $false)),
% 0.70/0.43 inference(trivial_inequality_removal,[],[f2867])).
% 0.70/0.43 thf(f2874,plain,(
% 0.70/0.43 ($true = $false)),
% 0.70/0.43 inference(constrained_superposition,[],[f1602,f2872])).
% 0.70/0.43 thf(f2875,plain,(
% 0.70/0.43 $false),
% 0.70/0.43 inference(trivial_inequality_removal,[],[f2874])).
% 0.70/0.43 % SZS output end Proof for theBenchmark
% 0.70/0.43 % (1105233)------------------------------
% 0.70/0.43 % (1105233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (1105233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (1105233)CaDiCaL version: 2.1.3
% 0.70/0.43 % (1105233)Termination reason: Refutation
% 0.70/0.43 % (1105233)Time elapsed: 0.069 s
% 0.70/0.43 % (1105233)Peak memory usage: 14 MB
% 0.70/0.43 % (1105233)Instructions burned: 151 (million)
% 0.70/0.43 % (1105169)Success in time 0.205 s
% 0.70/0.43 % Vampire exiting
%------------------------------------------------------------------------------