%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:03:35 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.20s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f208]) ).
fof(f213,negated_conjecture,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f218,plain,
~ frontsegP(sk4,sk3),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f227,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f305,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk5) ),
inference(superposition,[],[f227,f209]) ).
fof(f317,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f305,f218]) ).
fof(f319,plain,
( ~ ssList(sk4)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f317,f202]) ).
fof(f320,plain,
~ ssList(sk5),
inference(forward_subsumption_resolution,[],[f319,f203]) ).
fof(f321,plain,
$false,
inference(forward_subsumption_resolution,[],[f320,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:12:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.19/1.20 % (657557)Input is clausal, will run a generic CNF schedule.
% 0.19/1.20 % (657562)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=33033512:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.20 % (657564)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1558283717:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.20 % (657567)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=568400368:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.20 % (657566)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=903899006:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.20 % (657563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2070434150:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.20 % (657565)lrs+10_1_sil=8000:sp=occurrence:random_seed=4101781615:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.20 % (657565)First to succeed.
% 0.19/1.20 % (657565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-657557"
% 0.19/1.20 % (657566)Also succeeded, but the first one will report.
% 0.19/1.20 % (657568)dis-21_1_sil=8000:lcm=predicate:random_seed=2901204760: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)
% 0.19/1.20 % (657567)Also succeeded, but the first one will report.
% 0.19/1.20 % (657568)Instruction limit reached!
% 0.19/1.20 % (657568)------------------------------
% 0.19/1.20 % (657568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (657568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (657568)CaDiCaL version: 2.1.3
% 0.19/1.20 % (657568)Termination reason: Instruction limit
% 0.19/1.20 % (657568)Termination phase: Saturation
% 0.19/1.20 % (657568)Time elapsed: 0.059 s
% 0.19/1.20 % (657568)Peak memory usage: 89 MB
% 0.19/1.20 % (657568)Instructions burned: 117 (million)
% 0.19/1.20 % (657576)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1762803475:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.20 % (657576)Also succeeded, but the first one will report.
% 0.19/1.20 % (657565)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (657565)------------------------------
% 0.19/1.20 % (657565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (657565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (657565)CaDiCaL version: 2.1.3
% 0.19/1.20 % (657565)Termination reason: Refutation
% 0.19/1.20 % (657565)Time elapsed: 0.005 s
% 0.19/1.20 % (657565)Peak memory usage: 89 MB
% 0.19/1.20 % (657565)Instructions burned: 6 (million)
% 0.19/1.20 % (657565)------------------------------
% 0.19/1.20 % (657565)------------------------------
% 0.19/1.20 % (657557)Success in time 0.444 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------