%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN697-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 02:01:16 PM UTC 2026
% Result : Unsatisfiable 3.81s 1.22s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 15 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
fof(f41,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_41) ).
fof(f54,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_54) ).
fof(f55,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_55) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
fof(f118,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f55,f41]) ).
fof(f248,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f118,f41]) ).
fof(f448,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f248,f12]) ).
fof(f881,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[],[f448,f54]) ).
fof(f893,definition,
( spl0_34
<=> p2(f11(f4(c44),c43),f11(f4(c45),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f894,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| spl0_34 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,plain,
~ spl0_34,
inference(avatar_split_clause,[],[f881,f893]) ).
fof(f903,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45))
| spl0_34 ),
inference(resolution,[],[f894,f61]) ).
fof(f905,plain,
( ~ p3(f4(c44),f4(c45))
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f903,f7]) ).
fof(f923,plain,
( ~ p2(c44,c45)
| spl0_34 ),
inference(resolution,[],[f905,f30]) ).
fof(f925,plain,
( $false
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f923,f16]) ).
fof(f926,plain,
spl0_34,
inference(avatar_contradiction_clause,[],[f925]) ).
cnf(s25,plain,
~ spl0_34,
inference(sat_conversion,[],[f896]) ).
cnf(s27,plain,
spl0_34,
inference(sat_conversion,[],[f926]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s25,s27]) ).
fof(f927,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN697-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n006.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 16:45:55 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 3.81/1.22 % (4107529)Input is clausal, will run a generic CNF schedule.
% 3.81/1.22 % (4107540)dis-21_1_sil=8000:lcm=predicate:random_seed=3491756290: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)
% 3.81/1.22 % (4107540)Instruction limit reached!
% 3.81/1.22 % (4107540)------------------------------
% 3.81/1.22 % (4107540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.22 % (4107540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.22 % (4107540)CaDiCaL version: 2.1.3
% 3.81/1.22 % (4107540)Termination reason: Instruction limit
% 3.81/1.22 % (4107540)Termination phase: Saturation
% 3.81/1.22 % (4107540)Time elapsed: 0.042 s
% 3.81/1.22 % (4107540)Peak memory usage: 89 MB
% 3.81/1.22 % (4107540)Instructions burned: 118 (million)
% 3.81/1.22 % (4107539)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=34863436:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.81/1.22 % (4107535)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2980370241:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.81/1.22 % (4107538)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3490442047:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.81/1.22 % (4107537)lrs+10_1_sil=8000:sp=occurrence:random_seed=4203799209:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.81/1.22 % (4107534)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=421947482:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.81/1.22 % (4107536)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2437439252:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.81/1.22 % (4107538)First to succeed.
% 3.81/1.22 % (4107538)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4107529"
% 3.81/1.22 % (4107537)Instruction limit reached!
% 3.81/1.22 % (4107537)------------------------------
% 3.81/1.22 % (4107537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.22 % (4107537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.22 % (4107537)CaDiCaL version: 2.1.3
% 3.81/1.22 % (4107537)Termination reason: Instruction limit
% 3.81/1.22 % (4107537)Termination phase: Saturation
% 3.81/1.22 % (4107537)Time elapsed: 0.065 s
% 3.81/1.22 % (4107537)Peak memory usage: 89 MB
% 3.81/1.22 % (4107537)Instructions burned: 107 (million)
% 3.81/1.22 % (4107539)Also succeeded, but the first one will report.
% 3.81/1.22 % (4107542)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2222729145:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.81/1.22 % (4107542)Also succeeded, but the first one will report.
% 3.81/1.22 % (4107549)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4151736913:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.81/1.22 % (4107538)Refutation found. Thanks to Tanya!
% 3.81/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.81/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.22 % (4107538)------------------------------
% 3.81/1.22 % (4107538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.22 % (4107538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.22 % (4107538)CaDiCaL version: 2.1.3
% 3.81/1.22 % (4107538)Termination reason: Refutation
% 3.81/1.22 % (4107538)Time elapsed: 0.025 s
% 3.81/1.22 % (4107538)Peak memory usage: 89 MB
% 3.81/1.22 % (4107538)Instructions burned: 33 (million)
% 3.81/1.22 % (4107538)------------------------------
% 3.81/1.22 % (4107538)------------------------------
% 3.81/1.22 % (4107529)Success in time 0.461 s
% 3.81/1.22 % Vampire exiting
%------------------------------------------------------------------------------