%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN694-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 5.70s 1.88s
% Output : Refutation 5.70s
% 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/sandbox/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f18,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).
fof(f42,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_42) ).
fof(f55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).
fof(f56,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
fof(f115,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f56,f42]) ).
fof(f232,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f115,f42]) ).
fof(f419,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f232,f12]) ).
fof(f838,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[],[f419,f55]) ).
fof(f850,definition,
( spl0_37
<=> p2(f11(f4(c44),c43),f11(f4(c45),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f851,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| spl0_37 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f853,plain,
~ spl0_37,
inference(avatar_split_clause,[],[f838,f850]) ).
fof(f875,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45))
| spl0_37 ),
inference(resolution,[],[f851,f61]) ).
fof(f877,plain,
( ~ p3(f4(c44),f4(c45))
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f875,f7]) ).
fof(f881,plain,
( ~ p2(c44,c45)
| spl0_37 ),
inference(resolution,[],[f877,f36]) ).
fof(f883,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f881,f18]) ).
fof(f884,plain,
spl0_37,
inference(avatar_contradiction_clause,[],[f883]) ).
cnf(s29,plain,
~ spl0_37,
inference(sat_conversion,[],[f853]) ).
cnf(s31,plain,
spl0_37,
inference(sat_conversion,[],[f884]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s29,s31]) ).
fof(f885,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN694-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 % Computer : n015.cluster.edu
% 0.26/0.31 % Model : x86_64 x86_64
% 0.26/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31 % Memory : 8046.5625MB
% 0.26/0.31 % OS : Linux 6.8.0-71-generic
% 0.26/0.31 % CPULimit : 300
% 0.26/0.31 % WCLimit : 300
% 0.26/0.31 % DateTime : Mon Sep 28 16:50:32 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.37 Running first-order theorem proving
% 0.26/0.37 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.70/1.88 % (2767678)Input is clausal, will run a generic CNF schedule.
% 5.70/1.88 % (2767683)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=2067907110:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.70/1.88 % (2767686)lrs+10_1_sil=8000:sp=occurrence:random_seed=3865699503:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.70/1.88 % (2767685)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2755011255:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.70/1.88 % (2767684)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1126997779:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.70/1.88 % (2767688)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3899526239:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.88 % (2767687)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=902461130:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.70/1.88 % (2767689)dis-21_1_sil=8000:lcm=predicate:random_seed=3028206249: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)
% 5.70/1.88 % (2767687)First to succeed.
% 5.70/1.88 % (2767687)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2767678"
% 5.70/1.88 % (2767688)Also succeeded, but the first one will report.
% 5.70/1.88 % (2767686)Instruction limit reached!
% 5.70/1.88 % (2767686)------------------------------
% 5.70/1.88 % (2767686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.88 % (2767686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.88 % (2767686)CaDiCaL version: 2.1.3
% 5.70/1.88 % (2767686)Termination reason: Instruction limit
% 5.70/1.88 % (2767686)Termination phase: Saturation
% 5.70/1.88 % (2767686)Time elapsed: 0.104 s
% 5.70/1.88 % (2767686)Peak memory usage: 89 MB
% 5.70/1.88 % (2767686)Instructions burned: 107 (million)
% 5.70/1.88 % (2767689)Instruction limit reached!
% 5.70/1.88 % (2767689)------------------------------
% 5.70/1.88 % (2767689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.88 % (2767689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.88 % (2767689)CaDiCaL version: 2.1.3
% 5.70/1.88 % (2767689)Termination reason: Instruction limit
% 5.70/1.88 % (2767689)Termination phase: Saturation
% 5.70/1.88 % (2767689)Time elapsed: 0.129 s
% 5.70/1.88 % (2767689)Peak memory usage: 89 MB
% 5.70/1.88 % (2767689)Instructions burned: 117 (million)
% 5.70/1.88 % (2767697)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=1102308205:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.70/1.88 % (2767698)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=890012648:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.70/1.88 % (2767687)Refutation found. Thanks to Tanya!
% 5.70/1.88 % SZS status Unsatisfiable for theBenchmark
% 5.70/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.88 % (2767687)------------------------------
% 5.70/1.88 % (2767687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.88 % (2767687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.88 % (2767687)CaDiCaL version: 2.1.3
% 5.70/1.88 % (2767687)Termination reason: Refutation
% 5.70/1.88 % (2767687)Time elapsed: 0.038 s
% 5.70/1.88 % (2767687)Peak memory usage: 89 MB
% 5.70/1.88 % (2767687)Instructions burned: 31 (million)
% 5.70/1.88 % (2767687)------------------------------
% 5.70/1.88 % (2767687)------------------------------
% 5.70/1.88 % (2767678)Success in time 0.698 s
% 5.70/1.88 % Vampire exiting
%------------------------------------------------------------------------------