%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN562-1 : 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 : n018.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 02:00:58 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.32s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 19 ( 8 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
! [X0] : ~ p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_3) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
fof(f15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
fof(f17,plain,
! [X0,X1] :
( p10(X0,X1)
| ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X1)
| ~ p2(f7(c11),X0) ),
inference(resolution,[],[f16,f14]) ).
fof(f18,plain,
! [X0] :
( ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X0)
| ~ p2(f7(c11),X0) ),
inference(resolution,[],[f17,f3]) ).
fof(f21,plain,
~ p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(resolution,[],[f18,f1]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f21,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN562-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n018.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 16:31:40 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 3.76/1.32 % (3524170)Input is clausal, will run a generic CNF schedule.
% 3.76/1.32 % (3524176)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2233686758:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.32 % (3524181)dis-21_1_sil=8000:lcm=predicate:random_seed=312905867: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)
% 3.76/1.32 % (3524180)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3631614924:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.32 % (3524178)lrs+10_1_sil=8000:sp=occurrence:random_seed=913012726:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.32 % (3524175)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=1734131261:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.32 % (3524177)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3146972527:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.32 % (3524179)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3733857703:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.32 % (3524180)First to succeed.
% 3.76/1.32 % (3524179)Also succeeded, but the first one will report.
% 3.76/1.32 % (3524181)Also succeeded, but the first one will report.
% 3.76/1.32 % (3524180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3524170"
% 3.76/1.32 % (3524178)Also succeeded, but the first one will report.
% 3.76/1.32 % (3524180)Refutation found. Thanks to Tanya!
% 3.76/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.32 % (3524180)------------------------------
% 3.76/1.32 % (3524180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.32 % (3524180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.32 % (3524180)CaDiCaL version: 2.1.3
% 3.76/1.32 % (3524180)Termination reason: Refutation
% 3.76/1.32 % (3524180)Time elapsed: 0.002 s
% 3.76/1.32 % (3524180)Peak memory usage: 88 MB
% 3.76/1.32 % (3524180)Instructions burned: 1 (million)
% 3.76/1.32 % (3524180)------------------------------
% 3.76/1.32 % (3524180)------------------------------
% 3.76/1.32 % (3524170)Success in time 0.435 s
% 3.76/1.32 % Vampire exiting
%------------------------------------------------------------------------------