%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN648-1 : 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 : n005.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 02:01:10 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.36s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 26 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_15) ).
fof(f16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_16) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_30) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p3(X0,X1)
| ~ p2(X2,X3)
| ~ p26(c31,X3)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))
| p24(X0,c29)
| ~ p3(X0,X2)
| ~ p2(X3,X1)
| ~ p26(c31,X1)
| ~ p3(X2,f4(X3,c28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_44) ).
fof(f109,plain,
! [X2,X0,X1] :
( p24(X0,c29)
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p26(c31,c30)
| ~ p3(X1,f4(X2,c28))
| p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30)) ),
inference(resolution,[],[f44,f30]) ).
fof(f111,plain,
! [X2,X0,X1] :
( p24(X0,c29)
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p26(c31,c30)
| ~ p3(X1,f4(X2,c28)) ),
inference(forward_subsumption_resolution,[],[f109,f43]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ p3(X1,f4(X2,c28))
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| p24(X0,c29) ),
inference(forward_subsumption_resolution,[],[f111,f15]) ).
fof(f115,plain,
! [X0,X1] :
( ~ p3(X0,f4(X1,c28))
| ~ p2(X1,c30)
| p24(X0,c29) ),
inference(resolution,[],[f112,f5]) ).
fof(f117,plain,
! [X0] :
( p24(f4(X0,c28),c29)
| ~ p2(X0,c30) ),
inference(resolution,[],[f115,f5]) ).
fof(f122,plain,
~ p2(c27,c30),
inference(resolution,[],[f117,f16]) ).
fof(f134,plain,
$false,
inference(forward_subsumption_resolution,[],[f122,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n005.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 16:39:17 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 3.52/1.36 % (917509)Input is clausal, will run a generic CNF schedule.
% 3.52/1.36 % (917537)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2070761162:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.52/1.36 % (917538)lrs+10_1_sil=8000:sp=occurrence:random_seed=930670546:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.52/1.36 % (917540)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2276256575:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.52/1.36 % (917535)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=2270780425:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.52/1.36 % (917536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3150046127:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.52/1.36 % (917541)dis-21_1_sil=8000:lcm=predicate:random_seed=2334351561: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)
% 3.52/1.36 % (917539)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3712310135:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.52/1.36 % (917538)First to succeed.
% 3.52/1.36 % (917540)Also succeeded, but the first one will report.
% 3.52/1.36 % (917539)Also succeeded, but the first one will report.
% 3.52/1.36 % (917538)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-917509"
% 3.52/1.36 % (917541)Also succeeded, but the first one will report.
% 3.52/1.36 % (917538)Refutation found. Thanks to Tanya!
% 3.52/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.52/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.36 % (917538)------------------------------
% 3.52/1.36 % (917538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.36 % (917538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.36 % (917538)CaDiCaL version: 2.1.3
% 3.52/1.36 % (917538)Termination reason: Refutation
% 3.52/1.36 % (917538)Time elapsed: 0.004 s
% 3.52/1.36 % (917538)Peak memory usage: 88 MB
% 3.52/1.36 % (917538)Instructions burned: 4 (million)
% 3.52/1.36 % (917538)------------------------------
% 3.52/1.36 % (917538)------------------------------
% 3.52/1.36 % (917509)Success in time 0.391 s
% 3.52/1.36 % Vampire exiting
%------------------------------------------------------------------------------