%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN692-1 : 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 : n020.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 3.83s 1.35s
% Output : Refutation 3.83s
% 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(f33,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
fof(f39,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
fof(f51,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).
fof(f52,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_52) ).
fof(f57,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_57) ).
fof(f110,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f52,f39]) ).
fof(f217,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f110,f39]) ).
fof(f405,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f217,f12]) ).
fof(f789,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[],[f405,f51]) ).
fof(f801,definition,
( spl0_32
<=> p2(f11(f4(c44),c43),f11(f4(c45),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f802,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| spl0_32 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f804,plain,
~ spl0_32,
inference(avatar_split_clause,[],[f789,f801]) ).
fof(f809,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45))
| spl0_32 ),
inference(resolution,[],[f802,f57]) ).
fof(f811,plain,
( ~ p3(f4(c44),f4(c45))
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f809,f7]) ).
fof(f830,plain,
( ~ p2(c44,c45)
| spl0_32 ),
inference(resolution,[],[f811,f33]) ).
fof(f832,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f830,f16]) ).
fof(f833,plain,
spl0_32,
inference(avatar_contradiction_clause,[],[f832]) ).
cnf(s23,plain,
~ spl0_32,
inference(sat_conversion,[],[f804]) ).
cnf(s25,plain,
spl0_32,
inference(sat_conversion,[],[f833]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s23,s25]) ).
fof(f834,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN692-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n020.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 16:47:04 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 3.83/1.35 % (297794)Input is clausal, will run a generic CNF schedule.
% 3.83/1.35 % (297805)dis-21_1_sil=8000:lcm=predicate:random_seed=2800292466: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)
% 3.83/1.35 % (297800)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1579232242:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.35 % (297804)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2744345812:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.35 % (297803)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1327759941:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.35 % (297801)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1483068363:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.35 % (297799)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=3511242736:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.35 % (297802)lrs+10_1_sil=8000:sp=occurrence:random_seed=1855616982:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.35 % (297805)Instruction limit reached!
% 3.83/1.35 % (297805)------------------------------
% 3.83/1.35 % (297805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.35 % (297805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.35 % (297805)CaDiCaL version: 2.1.3
% 3.83/1.35 % (297805)Termination reason: Instruction limit
% 3.83/1.35 % (297805)Termination phase: Saturation
% 3.83/1.35 % (297805)Time elapsed: 0.042 s
% 3.83/1.35 % (297805)Peak memory usage: 89 MB
% 3.83/1.35 % (297805)Instructions burned: 119 (million)
% 3.83/1.35 % (297803)First to succeed.
% 3.83/1.35 % (297803)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-297794"
% 3.83/1.35 % (297804)Also succeeded, but the first one will report.
% 3.83/1.35 % (297802)Instruction limit reached!
% 3.83/1.35 % (297802)------------------------------
% 3.83/1.35 % (297802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.35 % (297802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.35 % (297802)CaDiCaL version: 2.1.3
% 3.83/1.35 % (297802)Termination reason: Instruction limit
% 3.83/1.35 % (297802)Termination phase: Saturation
% 3.83/1.35 % (297802)Time elapsed: 0.064 s
% 3.83/1.35 % (297802)Peak memory usage: 89 MB
% 3.83/1.35 % (297802)Instructions burned: 108 (million)
% 3.83/1.35 % (297813)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=2744510117:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.83/1.35 % (297813)Also succeeded, but the first one will report.
% 3.83/1.35 % (297814)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4002404085: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)
% 3.83/1.35 % (297803)Refutation found. Thanks to Tanya!
% 3.83/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.35 % (297803)------------------------------
% 3.83/1.35 % (297803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.35 % (297803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.35 % (297803)CaDiCaL version: 2.1.3
% 3.83/1.35 % (297803)Termination reason: Refutation
% 3.83/1.35 % (297803)Time elapsed: 0.023 s
% 3.83/1.35 % (297803)Peak memory usage: 89 MB
% 3.83/1.35 % (297803)Instructions burned: 30 (million)
% 3.83/1.35 % (297803)------------------------------
% 3.83/1.35 % (297803)------------------------------
% 3.83/1.35 % (297794)Success in time 0.451 s
% 3.83/1.35 % Vampire exiting
%------------------------------------------------------------------------------