%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:19:03 PM UTC 2026
% Result : Unsatisfiable 2.59s 1.16s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f533,axiom,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
fof(f534,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f533]) ).
fof(f1008,axiom,
! [X0,X1] : X0 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__eq_H_0) ).
fof(f1009,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(reorient_equations,[],[f1008]) ).
fof(f1010,axiom,
! [X0,X1] : X0 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__eq_H_1) ).
fof(f1011,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(reorient_equations,[],[f1010]) ).
fof(f1040,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
fof(f1041,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),
inference(reorient_equations,[],[f1040]) ).
fof(f1045,axiom,
! [X0] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi_0) ).
fof(f1046,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1045]) ).
fof(f1064,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1131,plain,
! [X0] : c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(superposition,[],[f1011,f534]) ).
fof(f1142,plain,
! [X0] : c_Transcendental_Osin(X0) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(superposition,[],[f1046,f1009]) ).
fof(f1160,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal),
inference(superposition,[],[f534,f1041]) ).
fof(f1169,plain,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
inference(superposition,[],[f1009,f1160]) ).
fof(f1179,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(superposition,[],[f1041,f1169]) ).
fof(f1206,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(superposition,[],[f1131,f1179]) ).
fof(f1216,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(superposition,[],[f1206,f1142]) ).
fof(f1387,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
inference(superposition,[],[f1064,f1216]) ).
fof(f1389,plain,
$false,
inference(trivial_inequality_removal,[],[f1387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.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 : Mon Sep 28 12:01:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/1.16 % (310884)Input is clausal, will run a generic CNF schedule.
% 2.59/1.16 % (310892)lrs+10_1_sil=8000:sp=occurrence:random_seed=3459163413:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.16 % (310892)First to succeed.
% 2.59/1.16 % (310892)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-310884"
% 2.59/1.16 % (310895)dis-21_1_sil=8000:lcm=predicate:random_seed=606464639:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.59/1.16 % (310890)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2009601535:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.16 % (310894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2845714508:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.16 % (310889)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1026350916:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.16 % (310893)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=657668319:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.16 % (310891)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1251634894:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.16 % (310895)Instruction limit reached!
% 2.59/1.16 % (310895)------------------------------
% 2.59/1.16 % (310895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.16 % (310895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.16 % (310895)CaDiCaL version: 2.1.3
% 2.59/1.16 % (310895)Termination reason: Instruction limit
% 2.59/1.16 % (310895)Termination phase: Saturation
% 2.59/1.16 % (310895)Time elapsed: 0.057 s
% 2.59/1.16 % (310895)Peak memory usage: 89 MB
% 2.59/1.16 % (310895)Instructions burned: 118 (million)
% 2.59/1.16 % (310893)Instruction limit reached!
% 2.59/1.16 % (310893)------------------------------
% 2.59/1.16 % (310893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.16 % (310893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.16 % (310893)CaDiCaL version: 2.1.3
% 2.59/1.16 % (310893)Termination reason: Instruction limit
% 2.59/1.16 % (310893)Termination phase: Saturation
% 2.59/1.16 % (310893)Time elapsed: 0.076 s
% 2.59/1.16 % (310893)Peak memory usage: 89 MB
% 2.59/1.16 % (310893)Instructions burned: 115 (million)
% 2.59/1.16 % (310894)Instruction limit reached!
% 2.59/1.16 % (310894)------------------------------
% 2.59/1.16 % (310894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.16 % (310894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.16 % (310894)CaDiCaL version: 2.1.3
% 2.59/1.16 % (310894)Termination reason: Instruction limit
% 2.59/1.16 % (310894)Termination phase: Saturation
% 2.59/1.16 % (310894)Time elapsed: 0.108 s
% 2.59/1.16 % (310894)Peak memory usage: 90 MB
% 2.59/1.16 % (310894)Instructions burned: 180 (million)
% 2.59/1.16 % (310892)Refutation found. Thanks to Tanya!
% 2.59/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.16 % (310892)------------------------------
% 2.59/1.16 % (310892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.16 % (310892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.16 % (310892)CaDiCaL version: 2.1.3
% 2.59/1.16 % (310892)Termination reason: Refutation
% 2.59/1.16 % (310892)Time elapsed: 0.007 s
% 2.59/1.16 % (310892)Peak memory usage: 89 MB
% 2.59/1.16 % (310892)Instructions burned: 17 (million)
% 2.59/1.16 % (310892)------------------------------
% 2.59/1.16 % (310892)------------------------------
% 2.59/1.16 % (310884)Success in time 0.304 s
% 2.59/1.16 % Vampire exiting
%------------------------------------------------------------------------------