%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN698-1 : 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 : n017.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 0.18s 1.16s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 22 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
fof(f43,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).
fof(f56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_56) ).
fof(f57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_57) ).
fof(f62,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_62) ).
fof(f75,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f57,f43]) ).
fof(f113,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f75,f43]) ).
fof(f152,plain,
! [X0] :
( ~ p2(X0,f11(f4(c46),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0) ),
inference(resolution,[],[f113,f12]) ).
fof(f198,plain,
! [X0,X1] :
( ~ p3(X0,f4(c46))
| ~ p10(X1,c43)
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(X0,X1)) ),
inference(resolution,[],[f152,f62]) ).
fof(f304,plain,
! [X0,X1] :
( ~ p2(X1,c46)
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X1),X0))
| ~ p10(X0,c43) ),
inference(resolution,[],[f198,f37]) ).
fof(f579,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),X0))
| ~ p10(X0,c43) ),
inference(resolution,[],[f304,f18]) ).
fof(f1162,plain,
~ p10(c43,c43),
inference(resolution,[],[f579,f56]) ).
fof(f1175,plain,
$false,
inference(forward_subsumption_resolution,[],[f1162,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN698-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:41:37 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 0.18/1.16 % (3694308)Input is clausal, will run a generic CNF schedule.
% 0.18/1.16 % (3694318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3397098182:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.16 % (3694318)First to succeed.
% 0.18/1.16 % (3694318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3694308"
% 0.18/1.16 % (3694314)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3502643624:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.16 % (3694316)lrs+10_1_sil=8000:sp=occurrence:random_seed=4252018389:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.16 % (3694313)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=3003036963:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.16 % (3694317)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3301633570:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.16 % (3694315)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3989355558:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.16 % (3694319)dis-21_1_sil=8000:lcm=predicate:random_seed=2458864504: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)
% 0.18/1.16 % (3694317)Also succeeded, but the first one will report.
% 0.18/1.16 % (3694316)Instruction limit reached!
% 0.18/1.16 % (3694316)------------------------------
% 0.18/1.16 % (3694316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.16 % (3694316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.16 % (3694316)CaDiCaL version: 2.1.3
% 0.18/1.16 % (3694316)Termination reason: Instruction limit
% 0.18/1.16 % (3694316)Termination phase: Saturation
% 0.18/1.16 % (3694316)Time elapsed: 0.068 s
% 0.18/1.16 % (3694316)Peak memory usage: 89 MB
% 0.18/1.16 % (3694316)Instructions burned: 107 (million)
% 0.18/1.16 % (3694319)Instruction limit reached!
% 0.18/1.16 % (3694319)------------------------------
% 0.18/1.16 % (3694319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.16 % (3694319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.16 % (3694319)CaDiCaL version: 2.1.3
% 0.18/1.16 % (3694319)Termination reason: Instruction limit
% 0.18/1.16 % (3694319)Termination phase: Saturation
% 0.18/1.16 % (3694319)Time elapsed: 0.079 s
% 0.18/1.16 % (3694319)Peak memory usage: 89 MB
% 0.18/1.16 % (3694319)Instructions burned: 117 (million)
% 0.18/1.16 % (3694318)Refutation found. Thanks to Tanya!
% 0.18/1.16 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.16 % (3694318)------------------------------
% 0.18/1.16 % (3694318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.16 % (3694318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.16 % (3694318)CaDiCaL version: 2.1.3
% 0.18/1.16 % (3694318)Termination reason: Refutation
% 0.18/1.16 % (3694318)Time elapsed: 0.024 s
% 0.18/1.16 % (3694318)Peak memory usage: 89 MB
% 0.18/1.16 % (3694318)Instructions burned: 63 (million)
% 0.18/1.16 % (3694318)------------------------------
% 0.18/1.16 % (3694318)------------------------------
% 0.18/1.16 % (3694308)Success in time 0.289 s
% 0.18/1.16 % Vampire exiting
%------------------------------------------------------------------------------