%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 02:01:06 PM UTC 2026
% Result : Unsatisfiable 3.48s 1.18s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
fof(f8,negated_conjecture,
! [X0,X1] : p8(f16(X0,f17(X1,X0)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_8) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( p8(X0,X1)
| ~ p8(X2,X0)
| ~ p8(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_21) ).
fof(f24,negated_conjecture,
! [X0] : p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_24) ).
fof(f26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_26) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( p8(f12(X0,X1),f12(X2,X3))
| ~ p11(X0,X2)
| ~ p8(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).
fof(f43,plain,
! [X0] :
( ~ p8(X0,f12(f13(c23),f17(c28,c27)))
| ~ p8(X0,f12(f13(c26),c28)) ),
inference(resolution,[],[f26,f21]) ).
fof(f71,plain,
! [X0,X1] :
( ~ p8(X1,f12(f13(c23),f17(c28,c27)))
| ~ p8(X1,X0)
| ~ p8(X0,f12(f13(c26),c28)) ),
inference(resolution,[],[f43,f21]) ).
fof(f107,plain,
! [X0] :
( ~ p8(f12(f13(c23),f17(c28,c27)),X0)
| ~ p8(X0,f12(f13(c26),c28)) ),
inference(resolution,[],[f71,f3]) ).
fof(f127,plain,
~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28)),
inference(resolution,[],[f107,f24]) ).
fof(f175,plain,
( ~ p11(f13(c26),f13(c26))
| ~ p8(f16(c27,f17(c28,c27)),c28) ),
inference(resolution,[],[f127,f31]) ).
fof(f177,plain,
~ p8(f16(c27,f17(c28,c27)),c28),
inference(forward_subsumption_resolution,[],[f175,f1]) ).
fof(f178,plain,
$false,
inference(forward_subsumption_resolution,[],[f177,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n013.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 16:37:07 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.48/1.18 % (1315441)Input is clausal, will run a generic CNF schedule.
% 3.48/1.18 % (1315459)dis-21_1_sil=8000:lcm=predicate:random_seed=1037495558:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 3.48/1.18 % (1315455)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=393625653:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 3.48/1.18 % (1315458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2320382954:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 3.48/1.18 % (1315453)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=4194459464:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 3.48/1.18 % (1315454)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2639509628:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 3.48/1.18 % (1315456)lrs+10_1_sil=8000:sp=occurrence:random_seed=3778720854:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 3.48/1.18 % (1315457)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=117631099:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 3.48/1.18 % (1315459)Instruction limit reached!
% 3.48/1.18 % (1315459)------------------------------
% 3.48/1.18 % (1315459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.18 % (1315459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.18 % (1315459)CaDiCaL version: 2.1.3
% 3.48/1.18 % (1315459)Termination reason: Instruction limit
% 3.48/1.18 % (1315459)Termination phase: Saturation
% 3.48/1.18 % (1315459)Time elapsed: 0.039 s
% 3.48/1.18 % (1315459)Peak memory usage: 89 MB
% 3.48/1.18 % (1315459)Instructions burned: 118 (million)
% 3.48/1.18 % (1315457)First to succeed.
% 3.48/1.18 % (1315457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1315441"
% 3.48/1.18 % (1315458)Also succeeded, but the first one will report.
% 3.48/1.18 % (1315456)Instruction limit reached!
% 3.48/1.18 % (1315456)------------------------------
% 3.48/1.18 % (1315456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.18 % (1315456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.18 % (1315456)CaDiCaL version: 2.1.3
% 3.48/1.18 % (1315456)Termination reason: Instruction limit
% 3.48/1.18 % (1315456)Termination phase: Saturation
% 3.48/1.18 % (1315456)Time elapsed: 0.066 s
% 3.48/1.18 % (1315456)Peak memory usage: 89 MB
% 3.48/1.18 % (1315456)Instructions burned: 107 (million)
% 3.48/1.18 % (1315467)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=2797541421:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.48/1.18 % (1315467)Also succeeded, but the first one will report.
% 3.48/1.18 % (1315469)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3882869457:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.48/1.18 % (1315469)Also succeeded, but the first one will report.
% 3.48/1.18 % (1315457)Refutation found. Thanks to Tanya!
% 3.48/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.18 % (1315457)------------------------------
% 3.48/1.18 % (1315457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.18 % (1315457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.18 % (1315457)CaDiCaL version: 2.1.3
% 3.48/1.18 % (1315457)Termination reason: Refutation
% 3.48/1.18 % (1315457)Time elapsed: 0.005 s
% 3.48/1.18 % (1315457)Peak memory usage: 88 MB
% 3.48/1.18 % (1315457)Instructions burned: 6 (million)
% 3.48/1.18 % (1315457)------------------------------
% 3.48/1.18 % (1315457)------------------------------
% 3.48/1.18 % (1315441)Success in time 0.406 s
% 3.48/1.18 % Vampire exiting
%------------------------------------------------------------------------------