%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN297-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:50:07 PM UTC 2026
% Result : Unsatisfiable 3.36s 1.20s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f145,axiom,
! [X0] :
( q1(e,X0,X0)
| ~ m0(X0,d,X0)
| ~ m0(e,d,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_107) ).
fof(f369,negated_conjecture,
~ q1(e,e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f377,plain,
! [X0] :
( q1(e,X0,X0)
| ~ m0(e,d,X0) ),
inference(forward_subsumption_resolution,[],[f145,f19]) ).
fof(f386,plain,
! [X0] : q1(e,X0,X0),
inference(forward_subsumption_resolution,[],[f377,f19]) ).
fof(f396,plain,
$false,
inference(resolution,[],[f386,f369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN297-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n014.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 15:40:16 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 3.36/1.20 % (1867375)Input is clausal, will run a generic CNF schedule.
% 3.36/1.20 % (1867468)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=235650951:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.36/1.20 % (1867471)lrs+10_1_sil=8000:sp=occurrence:random_seed=497964851:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.36/1.20 % (1867471)First to succeed.
% 3.36/1.20 % (1867471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1867375"
% 3.36/1.20 % (1867469)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3719888757:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.36/1.20 % (1867466)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=518505035:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.36/1.20 % (1867474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4004966629:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.36/1.20 % (1867476)dis-21_1_sil=8000:lcm=predicate:random_seed=180306945: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)
% 3.36/1.20 % (1867473)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2260436831:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.36/1.20 % (1867476)Also succeeded, but the first one will report.
% 3.36/1.20 % (1867474)Also succeeded, but the first one will report.
% 3.36/1.20 % (1867473)Also succeeded, but the first one will report.
% 3.36/1.20 % (1867471)Refutation found. Thanks to Tanya!
% 3.36/1.20 % SZS status Unsatisfiable for theBenchmark
% 3.36/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.20 % (1867471)------------------------------
% 3.36/1.20 % (1867471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.20 % (1867471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.20 % (1867471)CaDiCaL version: 2.1.3
% 3.36/1.20 % (1867471)Termination reason: Refutation
% 3.36/1.20 % (1867471)Time elapsed: 0.003 s
% 3.36/1.20 % (1867471)Peak memory usage: 88 MB
% 3.36/1.20 % (1867471)Instructions burned: 1 (million)
% 3.36/1.20 % (1867471)------------------------------
% 3.36/1.20 % (1867471)------------------------------
% 3.36/1.20 % (1867375)Success in time 0.398 s
% 3.36/1.20 % Vampire exiting
%------------------------------------------------------------------------------