%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN629-1 : 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 02:01:07 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.18s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 37 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f6,negated_conjecture,
p9(c28,c26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( p9(f16(X0),f16(X1))
| ~ p9(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_13) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p20(X0,X1)
| ~ p9(X2,X0)
| ~ p9(X3,X1)
| ~ p20(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_26) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f17(X0,X1),f17(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f15(X0,X1),f15(X2,X3))
| ~ p2(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p9(X0,X2)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_31) ).
fof(f34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_34) ).
fof(f35,negated_conjecture,
~ p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_35) ).
fof(f60,plain,
! [X0,X1] :
( ~ p9(X1,f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29))))))
| ~ p9(X0,f16(f17(c26,c27)))
| ~ p20(X0,X1) ),
inference(resolution,[],[f35,f26]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ p9(X1,f15(f7(c23,f8(c24,c25)),c26))
| ~ p20(X0,f10(X1,X2))
| ~ p9(X0,f16(f17(c26,c27)))
| ~ p9(X2,f11(f12(f13(f14(c29))))) ),
inference(resolution,[],[f60,f31]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ p20(X0,f10(f15(X1,X2),X3))
| ~ p9(X0,f16(f17(c26,c27)))
| ~ p9(X3,f11(f12(f13(f14(c29)))))
| ~ p2(X1,f7(c23,f8(c24,c25)))
| ~ p9(X2,c26) ),
inference(resolution,[],[f77,f30]) ).
fof(f253,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(c28,c26) ),
inference(resolution,[],[f109,f34]) ).
fof(f254,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(c28,c26) ),
inference(forward_subsumption_resolution,[],[f253,f2]) ).
fof(f255,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p9(c28,c26) ),
inference(forward_subsumption_resolution,[],[f254,f1]) ).
fof(f256,plain,
~ p9(f16(f17(c28,c27)),f16(f17(c26,c27))),
inference(forward_subsumption_resolution,[],[f255,f6]) ).
fof(f257,plain,
~ p9(f17(c28,c27),f17(c26,c27)),
inference(resolution,[],[f256,f13]) ).
fof(f262,plain,
( ~ p9(c28,c26)
| ~ p9(c27,c27) ),
inference(resolution,[],[f257,f29]) ).
fof(f264,plain,
~ p9(c27,c27),
inference(forward_subsumption_resolution,[],[f262,f6]) ).
fof(f265,plain,
$false,
inference(forward_subsumption_resolution,[],[f264,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN629-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n005.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 16:37:31 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 2.71/1.18 % (915409)Input is clausal, will run a generic CNF schedule.
% 2.71/1.18 % (915418)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2529926366:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.18 % (915418)First to succeed.
% 2.71/1.18 % (915418)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-915409"
% 2.71/1.18 % (915415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2358900526:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.18 % (915417)lrs+10_1_sil=8000:sp=occurrence:random_seed=16154612:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.18 % (915416)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3670052883:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.18 % (915414)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=3249015943:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.18 % (915420)dis-21_1_sil=8000:lcm=predicate:random_seed=3008348098: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)
% 2.71/1.18 % (915419)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3546949946:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.18 % (915419)Also succeeded, but the first one will report.
% 2.71/1.18 % (915420)Also succeeded, but the first one will report.
% 2.71/1.18 % (915417)Instruction limit reached!
% 2.71/1.18 % (915417)------------------------------
% 2.71/1.18 % (915417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.18 % (915417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.18 % (915417)CaDiCaL version: 2.1.3
% 2.71/1.18 % (915417)Termination reason: Instruction limit
% 2.71/1.18 % (915417)Termination phase: Saturation
% 2.71/1.18 % (915417)Time elapsed: 0.059 s
% 2.71/1.18 % (915417)Peak memory usage: 89 MB
% 2.71/1.18 % (915417)Instructions burned: 108 (million)
% 2.71/1.18 % (915418)Refutation found. Thanks to Tanya!
% 2.71/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.18 % (915418)------------------------------
% 2.71/1.18 % (915418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.18 % (915418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.18 % (915418)CaDiCaL version: 2.1.3
% 2.71/1.18 % (915418)Termination reason: Refutation
% 2.71/1.18 % (915418)Time elapsed: 0.004 s
% 2.71/1.18 % (915418)Peak memory usage: 88 MB
% 2.71/1.18 % (915418)Instructions burned: 9 (million)
% 2.71/1.18 % (915418)------------------------------
% 2.71/1.18 % (915418)------------------------------
% 2.71/1.18 % (915409)Success in time 0.293 s
% 2.71/1.18 % Vampire exiting
%------------------------------------------------------------------------------