%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:30:17 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.25s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unfolding_2) ).
fof(f15,axiom,
x3 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f16,plain,
x2 != x3,
inference(reorient_equations,[],[f15]) ).
fof(f22,axiom,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
fof(f23,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))
| X0 = X2
| heap(sep(lseg(X2,X1),X3)) ),
inference(superposition,[],[f9,f1]) ).
fof(f386,plain,
( x2 = x3
| heap(sep(lseg(x2,nil),emp)) ),
inference(resolution,[],[f78,f22]) ).
fof(f396,plain,
heap(sep(lseg(x2,nil),emp)),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f397,plain,
$false,
inference(forward_subsumption_resolution,[],[f396,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 13:54:02 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.56/1.25 % (2636022)Input is clausal, will run a generic CNF schedule.
% 3.56/1.25 % (2636027)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=3125617986:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.25 % (2636029)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1996972584:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.25 % (2636030)lrs+10_1_sil=8000:sp=occurrence:random_seed=3473665087:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.25 % (2636028)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3513909571:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.25 % (2636031)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1794260932:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.25 % (2636032)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=404803077:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.25 % (2636033)dis-21_1_sil=8000:lcm=predicate:random_seed=2485294210: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)
% 3.56/1.25 % (2636033)Refutation not found, incomplete strategy
% 3.56/1.25 % (2636033)------------------------------
% 3.56/1.25 % (2636033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (2636033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (2636033)CaDiCaL version: 2.1.3
% 3.56/1.25 % (2636033)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.25 % (2636033)Time elapsed: 0.003 s
% 3.56/1.25 % (2636033)Peak memory usage: 88 MB
% 3.56/1.25 % (2636033)Instructions burned: 4 (million)
% 3.56/1.25 % (2636030)First to succeed.
% 3.56/1.25 % (2636030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2636022"
% 3.56/1.25 % (2636032)Also succeeded, but the first one will report.
% 3.56/1.25 % (2636031)Also succeeded, but the first one will report.
% 3.56/1.25 % (2636033)------------------------------
% 3.56/1.25 % (2636033)------------------------------
% 3.56/1.25 % (2636030)Refutation found. Thanks to Tanya!
% 3.56/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.25 % (2636030)------------------------------
% 3.56/1.25 % (2636030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (2636030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (2636030)CaDiCaL version: 2.1.3
% 3.56/1.25 % (2636030)Termination reason: Refutation
% 3.56/1.25 % (2636030)Time elapsed: 0.013 s
% 3.56/1.25 % (2636030)Peak memory usage: 88 MB
% 3.56/1.25 % (2636030)Instructions burned: 18 (million)
% 3.56/1.25 % (2636030)------------------------------
% 3.56/1.25 % (2636030)------------------------------
% 3.56/1.25 % (2636022)Success in time 0.417 s
% 3.56/1.25 % Vampire exiting
%------------------------------------------------------------------------------