%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN558-1 : 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 : n001.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 2.91s 1.19s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
fof(f3,negated_conjecture,
! [X0] : p6(c7,f3(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
fof(f4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_4) ).
fof(f5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
fof(f6,negated_conjecture,
! [X0] : p5(c7,X0,f3(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ p5(c7,c8,X0)
| ~ p5(c7,c9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_8) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( p5(X0,X1,X2)
| ~ p5(X0,X1,X3)
| ~ p5(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p6(c7,X1)
| ~ p6(c7,X0)
| ~ p5(c7,X2,X1)
| ~ p5(c7,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p4(X5,X0)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| p5(X0,X1,X2)
| ~ p5(X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_14) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ p2(X0,X1)
| ~ p2(X2,X3)
| p5(X4,X1,X3)
| ~ p5(X4,X0,X2) ),
inference(resolution,[],[f14,f2]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,X1)
| p5(X2,X3,X1)
| ~ p5(X2,X3,X0) ),
inference(resolution,[],[f23,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] :
( ~ p6(c7,X2)
| ~ p5(X0,X1,X3)
| p5(X0,X1,X2)
| ~ p6(c7,X3)
| ~ p5(c7,X4,X2)
| ~ p5(c7,X4,X3) ),
inference(resolution,[],[f31,f13]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ p5(X0,X1,f3(X3))
| p5(X0,X1,f3(X2))
| ~ p2(X3,X2) ),
inference(resolution,[],[f31,f7]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ p5(X0,X4,f3(X3))
| ~ p2(X3,X2)
| ~ p5(X0,X1,X4)
| p5(X0,X1,f3(X2)) ),
inference(resolution,[],[f45,f11]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4] :
( ~ p6(c7,X2)
| p5(X0,X1,f3(X3))
| ~ p5(X0,X1,X2)
| ~ p5(c7,X4,f3(X3))
| ~ p5(c7,X4,X2) ),
inference(resolution,[],[f43,f3]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ p5(c7,X2,X0)
| ~ p2(X0,X1)
| p5(c7,X2,f3(X1)) ),
inference(resolution,[],[f92,f6]) ).
fof(f256,plain,
! [X0] :
( ~ p2(c9,X0)
| p5(c7,c10,f3(X0)) ),
inference(resolution,[],[f253,f4]) ).
fof(f257,plain,
! [X0] :
( ~ p2(c8,X0)
| p5(c7,c10,f3(X0)) ),
inference(resolution,[],[f253,f5]) ).
fof(f264,plain,
p5(c7,c10,f3(c9)),
inference(resolution,[],[f256,f1]) ).
fof(f338,plain,
p5(c7,c10,f3(c8)),
inference(resolution,[],[f257,f1]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4] :
( ~ p5(c7,X4,f3(X2))
| ~ p5(X0,X1,f3(X3))
| p5(X0,X1,f3(X2))
| ~ p5(c7,X4,f3(X3)) ),
inference(resolution,[],[f177,f3]) ).
fof(f936,plain,
! [X2,X3,X0,X1] :
( ~ p5(c7,X3,f3(X2))
| p5(X0,X1,f3(X3))
| ~ p5(X0,X1,f3(X2)) ),
inference(resolution,[],[f398,f6]) ).
fof(f1707,plain,
! [X0,X1] :
( ~ p5(X0,X1,f3(c9))
| p5(X0,X1,f3(c10)) ),
inference(resolution,[],[f936,f264]) ).
fof(f1708,plain,
! [X0,X1] :
( ~ p5(X0,X1,f3(c8))
| p5(X0,X1,f3(c10)) ),
inference(resolution,[],[f936,f338]) ).
fof(f1726,plain,
p5(c7,c9,f3(c10)),
inference(resolution,[],[f1707,f6]) ).
fof(f2028,plain,
p5(c7,c8,f3(c10)),
inference(resolution,[],[f1708,f6]) ).
fof(f2048,plain,
~ p5(c7,c9,f3(c10)),
inference(resolution,[],[f2028,f8]) ).
fof(f2057,plain,
$false,
inference(forward_subsumption_resolution,[],[f2048,f1726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:34:19 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 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
% 2.91/1.19 % (471214)Input is clausal, will run a generic CNF schedule.
% 2.91/1.19 % (471239)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2295159957:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.19 % (471237)lrs+10_1_sil=8000:sp=occurrence:random_seed=2031972861:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.19 % (471236)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=929098729:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.19 % (471235)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=659032990:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.19 % (471234)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=397947016:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.19 % (471240)dis-21_1_sil=8000:lcm=predicate:random_seed=2627494182: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)
% 2.91/1.19 % (471239)First to succeed.
% 2.91/1.19 % (471239)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-471214"
% 2.91/1.19 % (471238)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3060568269:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.19 % (471237)Also succeeded, but the first one will report.
% 2.91/1.19 % (471240)Instruction limit reached!
% 2.91/1.19 % (471240)------------------------------
% 2.91/1.19 % (471240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.19 % (471240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.19 % (471240)CaDiCaL version: 2.1.3
% 2.91/1.19 % (471240)Termination reason: Instruction limit
% 2.91/1.19 % (471240)Termination phase: Saturation
% 2.91/1.19 % (471240)Time elapsed: 0.070 s
% 2.91/1.19 % (471240)Peak memory usage: 88 MB
% 2.91/1.19 % (471240)Instructions burned: 117 (million)
% 2.91/1.19 % (471238)Also succeeded, but the first one will report.
% 2.91/1.19 % (471239)Refutation found. Thanks to Tanya!
% 2.91/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.19 % (471239)------------------------------
% 2.91/1.19 % (471239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.19 % (471239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.19 % (471239)CaDiCaL version: 2.1.3
% 2.91/1.19 % (471239)Termination reason: Refutation
% 2.91/1.19 % (471239)Time elapsed: 0.054 s
% 2.91/1.19 % (471239)Peak memory usage: 89 MB
% 2.91/1.19 % (471239)Instructions burned: 152 (million)
% 2.91/1.19 % (471239)------------------------------
% 2.91/1.19 % (471239)------------------------------
% 2.91/1.19 % (471214)Success in time 0.318 s
% 2.91/1.19 % Vampire exiting
%------------------------------------------------------------------------------