%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:48:48 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.29s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1)
| q2(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] : p1(a,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] : ~ q2(X0,f(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : ~ q3(X0,g(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X0,X1] :
( q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(forward_subsumption_resolution,[],[f1,f3]) ).
fof(f9,plain,
! [X0,X1] :
( q3(f(f(f(X0))),g(f(X1)))
| ~ p2(f(f(X0)),f(g(f(X1)))) ),
inference(resolution,[],[f4,f6]) ).
fof(f10,plain,
! [X0,X1] : ~ p2(f(f(X0)),f(g(f(X1)))),
inference(forward_subsumption_resolution,[],[f9,f5]) ).
fof(f11,plain,
! [X0,X1] : ~ q1(f(X0),f(f(g(f(X1))))),
inference(resolution,[],[f10,f7]) ).
fof(f12,plain,
! [X0,X1] : ~ p1(X0,f(f(f(g(f(X1)))))),
inference(resolution,[],[f11,f8]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f12,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:22:14 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 3.61/1.29 % (3477448)Input is clausal, will run a generic CNF schedule.
% 3.61/1.29 % (3477453)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=2040112405:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.29 % (3477459)dis-21_1_sil=8000:lcm=predicate:random_seed=2801795495: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)
% 3.61/1.29 % (3477458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3803616644:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.29 % (3477455)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2152117343:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.29 % (3477454)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2883797371:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.29 % (3477456)lrs+10_1_sil=8000:sp=occurrence:random_seed=1306434052:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.29 % (3477457)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1134621804:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.29 % (3477457)Also succeeded, but the first one will report.
% 3.61/1.29 % (3477456)Also succeeded, but the first one will report.
% 3.61/1.29 % (3477459)Also succeeded, but the first one will report.
% 3.61/1.29 % (3477458)First to succeed.
% 3.61/1.29 % (3477458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3477448"
% 3.61/1.29 % (3477458)Refutation found. Thanks to Tanya!
% 3.61/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.30 % (3477458)------------------------------
% 3.61/1.30 % (3477458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.30 % (3477458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.30 % (3477458)CaDiCaL version: 2.1.3
% 3.61/1.30 % (3477458)Termination reason: Refutation
% 3.61/1.30 % (3477458)Time elapsed: 0.002 s
% 3.61/1.30 % (3477458)Peak memory usage: 88 MB
% 3.61/1.30 % (3477458)------------------------------
% 3.61/1.30 % (3477458)------------------------------
% 3.61/1.30 % (3477448)Success in time 0.428 s
% 3.61/1.30 % Vampire exiting
%------------------------------------------------------------------------------