%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN311-1 : 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 : n006.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 2.86s 1.18s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 20 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 22 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,X3)
| ~ p(X1,X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,X3)
| ~ p(X3,X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,g(X3))
| ~ p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( p(f(X0),X1,X2,X3)
| ~ p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
p(a,b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolution,[],[f6,f4]) ).
fof(f10,plain,
~ p(f(g(a)),f(g(b)),f(g(c)),g(d)),
inference(resolution,[],[f7,f2]) ).
fof(f15,plain,
~ p(g(a),f(g(b)),f(g(c)),g(d)),
inference(resolution,[],[f10,f4]) ).
fof(f22,plain,
~ p(g(a),f(g(b)),f(g(c)),d),
inference(resolution,[],[f15,f3]) ).
fof(f29,plain,
~ p(d,f(g(c)),f(g(b)),g(a)),
inference(resolution,[],[f22,f2]) ).
fof(f33,plain,
~ p(d,f(g(c)),f(g(b)),a),
inference(resolution,[],[f29,f3]) ).
fof(f39,plain,
~ p(f(g(c)),f(g(b)),a,d),
inference(resolution,[],[f33,f1]) ).
fof(f48,plain,
~ p(g(c),f(g(b)),a,d),
inference(resolution,[],[f39,f4]) ).
fof(f54,plain,
~ p(d,a,f(g(b)),g(c)),
inference(resolution,[],[f48,f2]) ).
fof(f59,plain,
~ p(d,a,f(g(b)),c),
inference(resolution,[],[f54,f3]) ).
fof(f65,plain,
~ p(c,f(g(b)),a,d),
inference(resolution,[],[f59,f2]) ).
fof(f71,plain,
~ p(f(g(b)),a,d,c),
inference(resolution,[],[f65,f1]) ).
fof(f79,plain,
~ p(g(b),a,d,c),
inference(resolution,[],[f71,f4]) ).
fof(f85,plain,
~ p(c,d,a,g(b)),
inference(resolution,[],[f79,f2]) ).
fof(f91,plain,
~ p(c,d,a,b),
inference(resolution,[],[f85,f3]) ).
fof(f99,plain,
~ p(d,a,b,c),
inference(resolution,[],[f91,f1]) ).
fof(f111,plain,
~ p(a,b,c,d),
inference(resolution,[],[f99,f1]) ).
fof(f112,plain,
$false,
inference(forward_subsumption_resolution,[],[f111,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.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 15:40:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.86/1.18 % (4073956)Input is clausal, will run a generic CNF schedule.
% 2.86/1.18 % (4074049)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3287124556:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.18 % (4074049)First to succeed.
% 2.86/1.18 % (4074049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4073956"
% 2.86/1.18 % (4074045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2055876158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.18 % (4074044)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=1039043144:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.18 % (4074047)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2228052526:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.18 % (4074051)dis-21_1_sil=8000:lcm=predicate:random_seed=501472665: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)
% 2.86/1.18 % (4074048)lrs+10_1_sil=8000:sp=occurrence:random_seed=2664342962:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.18 % (4074050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1489228213:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.18 % (4074051)Also succeeded, but the first one will report.
% 2.86/1.18 % (4074048)Also succeeded, but the first one will report.
% 2.86/1.18 % (4074050)Also succeeded, but the first one will report.
% 2.86/1.18 % (4074049)Refutation found. Thanks to Tanya!
% 2.86/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/1.18 % (4074049)------------------------------
% 2.86/1.18 % (4074049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.18 % (4074049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.18 % (4074049)CaDiCaL version: 2.1.3
% 2.86/1.18 % (4074049)Termination reason: Refutation
% 2.86/1.18 % (4074049)Time elapsed: 0.001 s
% 2.86/1.18 % (4074049)Peak memory usage: 88 MB
% 2.86/1.18 % (4074049)Instructions burned: 3 (million)
% 2.86/1.18 % (4074049)------------------------------
% 2.86/1.18 % (4074049)------------------------------
% 2.86/1.18 % (4073956)Success in time 0.318 s
% 2.86/1.18 % Vampire exiting
%------------------------------------------------------------------------------