%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:50:09 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.22s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,g(X2))
| p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ p(f(X0),X1,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
~ p(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolution,[],[f6,f4]) ).
fof(f11,plain,
p(f(g(c)),f(g(b)),g(a)),
inference(resolution,[],[f7,f1]) ).
fof(f23,plain,
p(g(c),f(g(b)),g(a)),
inference(resolution,[],[f11,f4]) ).
fof(f27,plain,
p(g(c),f(g(b)),a),
inference(resolution,[],[f23,f3]) ).
fof(f32,plain,
p(f(g(b)),g(c),a),
inference(resolution,[],[f27,f2]) ).
fof(f36,plain,
p(g(b),g(c),a),
inference(resolution,[],[f32,f4]) ).
fof(f43,plain,
p(a,g(c),g(b)),
inference(resolution,[],[f36,f1]) ).
fof(f52,plain,
p(a,g(c),b),
inference(resolution,[],[f43,f3]) ).
fof(f58,plain,
p(g(c),a,b),
inference(resolution,[],[f52,f2]) ).
fof(f65,plain,
p(b,a,g(c)),
inference(resolution,[],[f58,f1]) ).
fof(f75,plain,
p(b,a,c),
inference(resolution,[],[f65,f3]) ).
fof(f81,plain,
p(a,b,c),
inference(resolution,[],[f75,f2]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[],[f81,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:41:17 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.57/1.22 % (2025005)Input is clausal, will run a generic CNF schedule.
% 3.57/1.22 % (2025087)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=2356138007:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.22 % (2025090)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1958245747:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.22 % (2025089)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2630871552:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.22 % (2025092)lrs+10_1_sil=8000:sp=occurrence:random_seed=27452435:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.22 % (2025096)dis-21_1_sil=8000:lcm=predicate:random_seed=2009040922: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)
% 3.57/1.22 % (2025095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3407008083:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.22 % (2025095)Also succeeded, but the first one will report.
% 3.57/1.22 % (2025092)First to succeed.
% 3.57/1.22 % (2025096)Also succeeded, but the first one will report.
% 3.57/1.22 % (2025092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2025005"
% 3.57/1.22 % (2025093)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3028506685:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.22 % (2025093)Also succeeded, but the first one will report.
% 3.57/1.22 % (2025092)Refutation found. Thanks to Tanya!
% 3.57/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.22 % (2025092)------------------------------
% 3.57/1.22 % (2025092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.22 % (2025092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.22 % (2025092)CaDiCaL version: 2.1.3
% 3.57/1.22 % (2025092)Termination reason: Refutation
% 3.57/1.22 % (2025092)Time elapsed: 0.002 s
% 3.57/1.22 % (2025092)Peak memory usage: 88 MB
% 3.57/1.22 % (2025092)Instructions burned: 2 (million)
% 3.57/1.22 % (2025092)------------------------------
% 3.57/1.22 % (2025092)------------------------------
% 3.57/1.22 % (2025005)Success in time 0.431 s
% 3.57/1.22 % Vampire exiting
%------------------------------------------------------------------------------