%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN554-1 : 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 : 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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 3.42s 1.29s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_2) ).
fof(f3,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
fof(f4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p4(X0,X1)
| p2(X0,X1)
| p4(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p4(f3(c5,X0),f3(c5,X1))
| ~ p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(X0,X1)
| ~ p2(X2,X1)
| ~ p4(X3,X2)
| ~ p2(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ p4(X2,X0)
| ~ p2(X0,X1)
| ~ p2(X2,X1) ),
inference(resolution,[],[f8,f2]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ p4(X2,X0)
| ~ p2(f3(c5,X2),X1)
| ~ p2(f3(c5,X0),X1) ),
inference(resolution,[],[f16,f7]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ p2(f3(c5,X0),X1)
| ~ p2(f3(c5,X2),X1)
| p2(X0,X2)
| p4(X2,X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ p2(f3(c5,X0),X1)
| ~ p2(f3(c5,X2),X1)
| p2(X0,X2) ),
inference(forward_subsumption_resolution,[],[f32,f19]) ).
fof(f67,plain,
! [X0] :
( ~ p2(f3(c5,X0),f3(c5,c7))
| p2(c6,X0) ),
inference(resolution,[],[f34,f4]) ).
fof(f128,plain,
p2(c6,c7),
inference(resolution,[],[f67,f1]) ).
fof(f131,plain,
$false,
inference(forward_subsumption_resolution,[],[f128,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:28:25 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.42/1.29 % (4095509)Input is clausal, will run a generic CNF schedule.
% 3.42/1.29 % (4095531)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2464710163:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 3.42/1.29 % (4095532)lrs+10_1_sil=8000:sp=occurrence:random_seed=3587304762:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 3.42/1.29 % (4095534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1706661847:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 3.42/1.29 % (4095533)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2769306766:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 3.42/1.29 % (4095529)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=614234259:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 3.42/1.29 % (4095530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=614818919:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 3.42/1.29 % (4095534)First to succeed.
% 3.42/1.29 % (4095532)Also succeeded, but the first one will report.
% 3.42/1.29 % (4095534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4095509"
% 3.42/1.29 % (4095533)Also succeeded, but the first one will report.
% 3.42/1.29 % (4095535)dis-21_1_sil=8000:lcm=predicate:random_seed=3165626774:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 3.42/1.29 % (4095535)Instruction limit reached!
% 3.42/1.29 % (4095535)------------------------------
% 3.42/1.29 % (4095535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29 % (4095535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29 % (4095535)CaDiCaL version: 2.1.3
% 3.42/1.29 % (4095535)Termination reason: Instruction limit
% 3.42/1.29 % (4095535)Termination phase: Saturation
% 3.42/1.29 % (4095535)Time elapsed: 0.066 s
% 3.42/1.29 % (4095535)Peak memory usage: 88 MB
% 3.42/1.29 % (4095535)Instructions burned: 118 (million)
% 3.42/1.29 % (4095544)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=82290462:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.42/1.29 % (4095544)Also succeeded, but the first one will report.
% 3.42/1.29 % (4095534)Refutation found. Thanks to Tanya!
% 3.42/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.42/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.29 % (4095534)------------------------------
% 3.42/1.29 % (4095534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.29 % (4095534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.29 % (4095534)CaDiCaL version: 2.1.3
% 3.42/1.29 % (4095534)Termination reason: Refutation
% 3.42/1.29 % (4095534)Time elapsed: 0.005 s
% 3.42/1.29 % (4095534)Peak memory usage: 88 MB
% 3.42/1.29 % (4095534)Instructions burned: 6 (million)
% 3.42/1.29 % (4095534)------------------------------
% 3.42/1.29 % (4095534)------------------------------
% 3.42/1.29 % (4095509)Success in time 0.388 s
% 3.42/1.29 % Vampire exiting
%------------------------------------------------------------------------------