%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN651-1 : 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 : 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 02:01:10 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.14s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 35 ( 21 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
fof(f26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
fof(f28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3)
| ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| ~ p23(f5(X1,X4),X3)
| ~ p23(f5(f7(f10(c24,X0),X1),X2),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
fof(f44,negated_conjecture,
! [X2,X0,X1] :
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1)
| ~ p23(f5(c27,X0),X2)
| ~ p23(f5(f7(f10(c24,c26),c27),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3))
| ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
fof(f59,plain,
! [X0] :
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X0)
| ~ p23(f5(c27,X0),c29) ),
inference(resolution,[],[f43,f28]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c24,c26),c27),X0),X1)
| ~ p23(f5(c27,c28),X0)
| ~ p23(f5(c27,X1),c29) ),
inference(resolution,[],[f44,f59]) ).
fof(f72,plain,
! [X0,X1] :
( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),X0),c27),X1)),c29)
| ~ p23(f5(c27,c28),X0)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1) ),
inference(resolution,[],[f62,f45]) ).
fof(f379,plain,
! [X0] :
( ~ p23(f5(c27,c28),X0)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),c29)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),c29) ),
inference(resolution,[],[f72,f41]) ).
fof(f381,plain,
! [X0] :
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),c29)
| ~ p23(f5(c27,c28),X0) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f441,plain,
~ p23(f5(c27,c28),c30),
inference(resolution,[],[f381,f26]) ).
fof(f446,plain,
$false,
inference(forward_subsumption_resolution,[],[f441,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:41:55 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 0.20/1.14 % (3531743)Input is clausal, will run a generic CNF schedule.
% 0.20/1.14 % (3531752)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2707482795:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.14 % (3531752)First to succeed.
% 0.20/1.14 % (3531752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3531743"
% 0.20/1.14 % (3531754)dis-21_1_sil=8000:lcm=predicate:random_seed=2053698074: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)
% 0.20/1.14 % (3531750)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=508635298:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.14 % (3531751)lrs+10_1_sil=8000:sp=occurrence:random_seed=1292336465:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.14 % (3531749)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=617491581:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.14 % (3531753)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2695515902:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.14 % (3531748)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=2476346779:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.14 % (3531753)Also succeeded, but the first one will report.
% 0.20/1.14 % (3531754)Instruction limit reached!
% 0.20/1.14 % (3531754)------------------------------
% 0.20/1.14 % (3531754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (3531754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (3531754)CaDiCaL version: 2.1.3
% 0.20/1.14 % (3531754)Termination reason: Instruction limit
% 0.20/1.14 % (3531754)Termination phase: Saturation
% 0.20/1.14 % (3531754)Time elapsed: 0.065 s
% 0.20/1.14 % (3531754)Peak memory usage: 88 MB
% 0.20/1.14 % (3531754)Instructions burned: 117 (million)
% 0.20/1.14 % (3531751)Instruction limit reached!
% 0.20/1.14 % (3531751)------------------------------
% 0.20/1.14 % (3531751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (3531751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (3531751)CaDiCaL version: 2.1.3
% 0.20/1.14 % (3531751)Termination reason: Instruction limit
% 0.20/1.14 % (3531751)Termination phase: Saturation
% 0.20/1.14 % (3531751)Time elapsed: 0.072 s
% 0.20/1.14 % (3531751)Peak memory usage: 89 MB
% 0.20/1.14 % (3531751)Instructions burned: 108 (million)
% 0.20/1.14 % (3531752)Refutation found. Thanks to Tanya!
% 0.20/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.14 % (3531752)------------------------------
% 0.20/1.14 % (3531752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (3531752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (3531752)CaDiCaL version: 2.1.3
% 0.20/1.14 % (3531752)Termination reason: Refutation
% 0.20/1.14 % (3531752)Time elapsed: 0.009 s
% 0.20/1.14 % (3531752)Peak memory usage: 88 MB
% 0.20/1.14 % (3531752)Instructions burned: 22 (million)
% 0.20/1.14 % (3531752)------------------------------
% 0.20/1.14 % (3531752)------------------------------
% 0.20/1.14 % (3531743)Success in time 0.294 s
% 0.20/1.14 % Vampire exiting
%------------------------------------------------------------------------------