%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP019^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 08:10:21 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP019^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:34:59 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.27 % (2956779)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2956786)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2796217405:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2956785)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2956784)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1613943015_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (2956785)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2687841377:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2956787)dis+10_1_sil=32000:sp=arity:random_seed=3534921274:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2956788)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2238684755:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2956785)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (2956788)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % Exception at run slice level% (2956785)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (2956789)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1064382702:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (2956790)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3790089242:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (2956787) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2956779-2956787"...
% 0.19/0.27 % (2956787)...printing done.
% 0.19/0.27 % (2956787)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 0.19/0.27 thf(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(type_def_7, type, tyop_2Enum_2Enum: $tType).
% 0.19/0.27 thf(type_def_8, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.19/0.27 thf(type_def_9, type, tyop_2Erealax_2Ereal: $tType).
% 0.19/0.27 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.19/0.27 thf(func_def_1, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.19/0.27 thf(func_def_2, type, c_2Enum_2E0: tyop_2Enum_2Enum).
% 0.19/0.27 thf(func_def_3, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.19/0.27 thf(func_def_4, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.19/0.27 thf(func_def_5, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.19/0.27 thf(func_def_6, type, c_2Ebool_2EF: $o).
% 0.19/0.27 thf(func_def_7, type, c_2Ebool_2ET: $o).
% 0.19/0.27 thf(func_def_8, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.19/0.27 thf(func_def_9, type, c_2Ecomplex_2Ecomplex__inv: (tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal > tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal)).
% 0.19/0.27 thf(func_def_10, type, c_2Ecomplex_2Ecomplex__of__num: (tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal)).
% 0.19/0.27 thf(func_def_11, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.19/0.27 thf(func_def_13, type, vNOT: ($o > $o)).
% 0.19/0.27 thf(func_def_16, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.19/0.27 thf(func_def_17, type, sK0: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.19/0.27 thf(func_def_18, type, sK1: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.19/0.27 thf(func_def_19, type, sK2: tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal).
% 0.19/0.27 thf(func_def_21, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.27 thf(func_def_22, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.27 thf(func_def_23, type, db1: !>[X0: $tType]:(X0)).
% 0.19/0.27 thf(f11,axiom,(
% 0.19/0.27 ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : ((((c_2Ecomplex_2Ecomplex__inv @ X0)) = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))) <=> (X0 = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0)).
% 0.19/0.27 thf(f12,conjecture,(
% 0.19/0.27 ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : ((~ (X0 = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))) => (~ (((c_2Ecomplex_2Ecomplex__inv @ X0)) = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ)).
% 0.19/0.27 thf(f13,negated_conjecture,(
% 0.19/0.27 ~ ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : ((~ (X0 = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))) => (~ (((c_2Ecomplex_2Ecomplex__inv @ X0)) = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f12])).
% 0.19/0.27 thf(f34,plain,(
% 0.19/0.27 ~ ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : ((~ (X0 = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))) => (~ (((c_2Ecomplex_2Ecomplex__inv @ X0)) = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))))),
% 0.19/0.27 inference(rectify,[],[f13])).
% 0.19/0.27 thf(f35,plain,(
% 0.19/0.27 ~ ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : (($true = ((~ ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = X0)))) => ($true = ((~ ((c_2Ecomplex_2Ecomplex__inv @ X0) = (c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))))))),
% 0.19/0.27 inference(fool_elimination,[],[f34])).
% 0.19/0.27 thf(f39,plain,(
% 0.19/0.27 ? [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : (($true != ((~ ((c_2Ecomplex_2Ecomplex__inv @ X0) = (c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))))) & ($true = ((~ ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = X0)))))),
% 0.19/0.27 inference(ennf_transformation,[],[f35])).
% 0.19/0.27 thf(f55,plain,(
% 0.19/0.27 ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : (((((c_2Ecomplex_2Ecomplex__inv @ X0)) = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))) | (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) != X0)) & ((X0 = ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))) | (((c_2Ecomplex_2Ecomplex__inv @ X0)) != ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))))),
% 0.19/0.27 inference(nnf_transformation,[],[f11])).
% 0.19/0.27 thf(f56,plain,(
% 0.19/0.27 ($true != ((~ ((c_2Ecomplex_2Ecomplex__inv @ sK2) = (c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))))) & ($true = ((~ ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = sK2))))),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f39])).
% 0.19/0.27 thf(f90,plain,(
% 0.19/0.27 ( ! [X0 : tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal] : ((((c_2Ecomplex_2Ecomplex__inv @ X0)) != ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))) | (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) = X0)) )),
% 0.19/0.27 inference(cnf_transformation,[],[f55])).
% 0.19/0.27 thf(f92,plain,(
% 0.19/0.27 ($true = ((~ ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = sK2))))),
% 0.19/0.27 inference(cnf_transformation,[],[f56])).
% 0.19/0.27 thf(f93,plain,(
% 0.19/0.27 ($true != ((~ ((c_2Ecomplex_2Ecomplex__inv @ sK2) = (c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)))))),
% 0.19/0.27 inference(cnf_transformation,[],[f56])).
% 0.19/0.27 thf(f122,plain,(
% 0.19/0.27 ((((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = sK2)) = $false)),
% 0.19/0.27 inference(not_proxy_clausification,[],[f92])).
% 0.19/0.27 thf(f123,plain,(
% 0.19/0.27 (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) != sK2)),
% 0.19/0.27 inference(equality_proxy_clausification,[],[f122])).
% 0.19/0.27 thf(f124,plain,(
% 0.19/0.27 ($true = (((c_2Ecomplex_2Ecomplex__inv @ sK2) = (c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))))),
% 0.19/0.27 inference(not_proxy_clausification,[],[f93])).
% 0.19/0.27 thf(f125,plain,(
% 0.19/0.27 (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) = ((c_2Ecomplex_2Ecomplex__inv @ sK2)))),
% 0.19/0.27 inference(equality_proxy_clausification,[],[f124])).
% 0.19/0.27 thf(f539,plain,(
% 0.19/0.27 (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) != ((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0))) | (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) = sK2)),
% 0.19/0.27 inference(constrained_superposition,[],[f90,f125])).
% 0.19/0.27 thf(f540,plain,(
% 0.19/0.27 (((c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0)) = sK2)),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f539])).
% 0.19/0.27 thf(f541,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f540,f123])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (2956787)------------------------------
% 0.19/0.27 % (2956787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2956787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2956787)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2956787)Termination reason: Refutation
% 0.19/0.27 % (2956787)Time elapsed: 0.014 s
% 0.19/0.27 % (2956787)Peak memory usage: 12 MB
% 0.19/0.27 % (2956787)Instructions burned: 23 (million)
% 0.19/0.27 % (2956779)Success in time 0.049 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------