%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN588-1 : 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 : n014.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 02:01:01 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.15s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_14) ).
fof(f24,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
fof(f25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
fof(f26,negated_conjecture,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_26) ).
fof(f52,plain,
! [X0] :
( ~ p7(X0,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(resolution,[],[f26,f14]) ).
fof(f76,plain,
~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(resolution,[],[f52,f24]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f76,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN588-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n014.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 16:34:03 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 2.65/1.15 % (1908434)Input is clausal, will run a generic CNF schedule.
% 2.65/1.15 % (1908443)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1633199346:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.15 % (1908443)First to succeed.
% 2.65/1.15 % (1908443)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1908434"
% 2.65/1.15 % (1908442)lrs+10_1_sil=8000:sp=occurrence:random_seed=3066502174:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.15 % (1908441)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4189055760:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.15 % (1908439)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=1384462462:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.15 % (1908440)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=892103092:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.15 % (1908442)Also succeeded, but the first one will report.
% 2.65/1.15 % (1908444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3195239506:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.15 % (1908445)dis-21_1_sil=8000:lcm=predicate:random_seed=2823635228: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)
% 2.65/1.15 % (1908444)Also succeeded, but the first one will report.
% 2.65/1.15 % (1908445)Also succeeded, but the first one will report.
% 2.65/1.15 % (1908443)Refutation found. Thanks to Tanya!
% 2.65/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.15 % (1908443)------------------------------
% 2.65/1.15 % (1908443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.15 % (1908443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.15 % (1908443)CaDiCaL version: 2.1.3
% 2.65/1.15 % (1908443)Termination reason: Refutation
% 2.65/1.15 % (1908443)Time elapsed: 0.002 s
% 2.65/1.15 % (1908443)Peak memory usage: 88 MB
% 2.65/1.15 % (1908443)Instructions burned: 2 (million)
% 2.65/1.15 % (1908443)------------------------------
% 2.65/1.15 % (1908443)------------------------------
% 2.65/1.15 % (1908434)Success in time 0.275 s
% 2.65/1.15 % Vampire exiting
%------------------------------------------------------------------------------