%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN642-1 : 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 : n026.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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.18s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f4,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
fof(f9,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
fof(f14,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_14) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( p6(X0,X1)
| ~ p6(X2,X0)
| ~ p6(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_23) ).
fof(f28,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_28) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( p6(f9(X0,X1),f9(X2,X3))
| ~ p6(X1,X3)
| ~ p6(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( p6(f8(f10(X0,X1)),f9(f8(X0),f8(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_36) ).
fof(f43,plain,
! [X0] :
( ~ p6(X0,f8(f10(f3(c19),f3(c18))))
| ~ p6(X0,f9(f8(c19),f8(c18))) ),
inference(resolution,[],[f28,f23]) ).
fof(f45,plain,
! [X0,X1] :
( ~ p6(X1,f8(f10(f3(c19),f3(c18))))
| ~ p6(X1,X0)
| ~ p6(X0,f9(f8(c19),f8(c18))) ),
inference(resolution,[],[f43,f23]) ).
fof(f68,plain,
! [X0] :
( ~ p6(f8(f10(f3(c19),f3(c18))),X0)
| ~ p6(X0,f9(f8(c19),f8(c18))) ),
inference(resolution,[],[f45,f4]) ).
fof(f75,plain,
( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p15(f3(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[],[f68,f36]) ).
fof(f78,plain,
( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p15(f3(c18)) ),
inference(forward_subsumption_resolution,[],[f75,f1]) ).
fof(f79,plain,
~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18))),
inference(forward_subsumption_resolution,[],[f78,f2]) ).
fof(f93,plain,
( ~ p6(f8(f3(c18)),f8(c18))
| ~ p6(f8(f3(c19)),f8(c19)) ),
inference(resolution,[],[f79,f33]) ).
fof(f95,plain,
~ p6(f8(f3(c19)),f8(c19)),
inference(forward_subsumption_resolution,[],[f93,f14]) ).
fof(f96,plain,
$false,
inference(forward_subsumption_resolution,[],[f95,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN642-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:41:57 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.49/1.18 % (4003770)Input is clausal, will run a generic CNF schedule.
% 3.49/1.18 % (4003776)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=876433006:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.18 % (4003781)dis-21_1_sil=8000:lcm=predicate:random_seed=3263815146: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)
% 3.49/1.18 % (4003777)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=500374073:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.18 % (4003778)lrs+10_1_sil=8000:sp=occurrence:random_seed=2031694914:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.18 % (4003779)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1430993646:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.18 % (4003775)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=1593237105:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.18 % (4003780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1224461596:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.18 % (4003780)First to succeed.
% 3.49/1.18 % (4003780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4003770"
% 3.49/1.18 % (4003781)Also succeeded, but the first one will report.
% 3.49/1.18 % (4003779)Also succeeded, but the first one will report.
% 3.49/1.18 % (4003778)Instruction limit reached!
% 3.49/1.18 % (4003778)------------------------------
% 3.49/1.18 % (4003778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.18 % (4003778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.18 % (4003778)CaDiCaL version: 2.1.3
% 3.49/1.18 % (4003778)Termination reason: Instruction limit
% 3.49/1.18 % (4003778)Termination phase: Saturation
% 3.49/1.18 % (4003778)Time elapsed: 0.067 s
% 3.49/1.18 % (4003778)Peak memory usage: 89 MB
% 3.49/1.18 % (4003778)Instructions burned: 107 (million)
% 3.49/1.18 % (4003789)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=471196799:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.18 % (4003780)Refutation found. Thanks to Tanya!
% 3.49/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.18 % (4003780)------------------------------
% 3.49/1.18 % (4003780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.18 % (4003780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.18 % (4003780)CaDiCaL version: 2.1.3
% 3.49/1.18 % (4003780)Termination reason: Refutation
% 3.49/1.18 % (4003780)Time elapsed: 0.004 s
% 3.49/1.18 % (4003780)Peak memory usage: 88 MB
% 3.49/1.18 % (4003780)Instructions burned: 4 (million)
% 3.49/1.18 % (4003780)------------------------------
% 3.49/1.18 % (4003780)------------------------------
% 3.49/1.18 % (4003770)Success in time 0.416 s
% 3.49/1.18 % Vampire exiting
%------------------------------------------------------------------------------