%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN349-1 : 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 : n001.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 01:50:19 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.15s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1))
| f(g(X0,X1),w(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(g(X0,X1),w(X0))
| f(g(X0,X1),X1)
| f(X1,g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ f(g(X0,X1),w(X0))
| ~ f(g(X0,X1),X1)
| f(X1,g(X0,X1))
| f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ f(g(X0,X1),w(X0))
| ~ f(g(X0,X1),X1)
| ~ f(X1,g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f12,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[],[f3,f2]) ).
fof(f13,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(duplicate_literal_removal,[],[f12]) ).
fof(f16,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(factoring,[],[f5]) ).
fof(f18,plain,
! [X0] :
( f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0))) ),
inference(forward_subsumption_resolution,[],[f16,f1]) ).
fof(f19,plain,
! [X0] : f(g(X0,w(X0)),w(X0)),
inference(forward_subsumption_resolution,[],[f18,f13]) ).
fof(f31,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[],[f8,f19]) ).
fof(f35,plain,
! [X0] :
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(forward_subsumption_resolution,[],[f31,f19]) ).
fof(f36,plain,
! [X0] : f(X0,g(X0,w(X0))),
inference(forward_subsumption_resolution,[],[f35,f1]) ).
fof(f42,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0)))
| ~ f(X0,g(X0,w(X0)))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[],[f10,f13]) ).
fof(f44,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0)))
| ~ f(X0,g(X0,w(X0))) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f45,plain,
! [X0] :
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0))) ),
inference(forward_subsumption_resolution,[],[f44,f1]) ).
fof(f47,plain,
! [X0] : ~ f(w(X0),g(X0,w(X0))),
inference(forward_subsumption_resolution,[],[f45,f19]) ).
fof(f49,plain,
! [X0] : ~ f(X0,g(X0,w(X0))),
inference(resolution,[],[f47,f2]) ).
fof(f50,plain,
$false,
inference(forward_subsumption_resolution,[],[f49,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:53:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.23 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
% 2.70/1.15 % (449763)Input is clausal, will run a generic CNF schedule.
% 2.70/1.15 % (449771)lrs+10_1_sil=8000:sp=occurrence:random_seed=4049053449:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.15 % (449771)First to succeed.
% 2.70/1.15 % (449771)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-449763"
% 2.70/1.15 % (449773)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3363897996:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.15 % (449773)Refutation not found, incomplete strategy
% 2.70/1.15 % (449773)------------------------------
% 2.70/1.15 % (449773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.15 % (449773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.15 % (449773)CaDiCaL version: 2.1.3
% 2.70/1.15 % (449773)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.15 % (449773)Time elapsed: 0.002 s
% 2.70/1.15 % (449773)Peak memory usage: 87 MB
% 2.70/1.15 % (449773)Instructions burned: 1 (million)
% 2.70/1.15 % (449769)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=65613481:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.15 % (449772)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=550147947:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.15 % (449768)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=374435422:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.15 % (449774)dis-21_1_sil=8000:lcm=predicate:random_seed=3892668028: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)
% 2.70/1.15 % (449770)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3273222292:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.15 % (449772)Also succeeded, but the first one will report.
% 2.70/1.15 % (449774)Also succeeded, but the first one will report.
% 2.70/1.15 % (449771)Refutation found. Thanks to Tanya!
% 2.70/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.15 % (449771)------------------------------
% 2.70/1.15 % (449771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.15 % (449771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.15 % (449771)CaDiCaL version: 2.1.3
% 2.70/1.15 % (449771)Termination reason: Refutation
% 2.70/1.15 % (449771)Time elapsed: 0.001 s
% 2.70/1.15 % (449771)Peak memory usage: 88 MB
% 2.70/1.15 % (449771)Instructions burned: 2 (million)
% 2.70/1.15 % (449771)------------------------------
% 2.70/1.15 % (449771)------------------------------
% 2.70/1.15 % (449763)Success in time 0.286 s
% 2.70/1.15 % Vampire exiting
%------------------------------------------------------------------------------