%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV596-1 : 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 : n005.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 3.93s 1.53s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f959,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
fof(f1381,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero__pi_0) ).
fof(f1408,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1409,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1410,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1411,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1410]) ).
fof(f1964,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f1381,f1411]) ).
fof(f1997,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1964,f959]) ).
fof(f2025,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1997,f1408]) ).
fof(f2026,plain,
$false,
inference(forward_subsumption_resolution,[],[f2025,f1409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV596-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n005.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 11:59:32 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.93/1.53 % (740906)Input is clausal, will run a generic CNF schedule.
% 3.93/1.53 % (740933)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=94402106:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.93/1.53 % (740937)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=476062712:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.93/1.53 % (740937)First to succeed.
% 3.93/1.53 % (740937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-740906"
% 3.93/1.53 % (740936)lrs+10_1_sil=8000:sp=occurrence:random_seed=1282233992:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.93/1.53 % (740934)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3344864374:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.93/1.53 % (740935)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3384118278:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.93/1.53 % (740938)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=406700556:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.93/1.53 % (740939)dis-21_1_sil=8000:lcm=predicate:random_seed=1505323355: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)
% 3.93/1.53 % (740938)Also succeeded, but the first one will report.
% 3.93/1.53 % (740936)Instruction limit reached!
% 3.93/1.53 % (740936)------------------------------
% 3.93/1.53 % (740936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.53 % (740936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.53 % (740936)CaDiCaL version: 2.1.3
% 3.93/1.53 % (740936)Termination reason: Instruction limit
% 3.93/1.53 % (740936)Termination phase: Saturation
% 3.93/1.53 % (740936)Time elapsed: 0.094 s
% 3.93/1.53 % (740936)Peak memory usage: 90 MB
% 3.93/1.53 % (740936)Instructions burned: 107 (million)
% 3.93/1.53 % (740939)Instruction limit reached!
% 3.93/1.53 % (740939)------------------------------
% 3.93/1.53 % (740939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.53 % (740939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.53 % (740939)CaDiCaL version: 2.1.3
% 3.93/1.53 % (740939)Termination reason: Instruction limit
% 3.93/1.53 % (740939)Termination phase: Saturation
% 3.93/1.53 % (740939)Time elapsed: 0.109 s
% 3.93/1.53 % (740939)Peak memory usage: 90 MB
% 3.93/1.53 % (740939)Instructions burned: 117 (million)
% 3.93/1.53 % (740937)Refutation found. Thanks to Tanya!
% 3.93/1.53 % SZS status Unsatisfiable for theBenchmark
% 3.93/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.53 % (740937)------------------------------
% 3.93/1.53 % (740937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.53 % (740937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.53 % (740937)CaDiCaL version: 2.1.3
% 3.93/1.53 % (740937)Termination reason: Refutation
% 3.93/1.53 % (740937)Time elapsed: 0.019 s
% 3.93/1.53 % (740937)Peak memory usage: 89 MB
% 3.93/1.53 % (740937)Instructions burned: 29 (million)
% 3.93/1.53 % (740937)------------------------------
% 3.93/1.53 % (740937)------------------------------
% 3.93/1.53 % (740906)Success in time 0.498 s
% 3.93/1.53 % Vampire exiting
%------------------------------------------------------------------------------