%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW409-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 4.90s 1.27s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 16 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 10 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
| heap(sep(lseg(X0,nil),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_3) ).
fof(f15,axiom,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f17,axiom,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f18,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f19,plain,
! [X0] : ~ heap(sep(lseg(x2,X0),sep(lseg(X0,nil),emp))),
inference(unit_resulting_resolution,[],[f10,f18]) ).
fof(f33,plain,
! [X0] : ~ heap(sep(lseg(X0,nil),sep(lseg(x2,X0),emp))),
inference(superposition,[],[f19,f1]) ).
fof(f63,plain,
~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))),
inference(unit_resulting_resolution,[],[f9,f15,f33]) ).
fof(f71,plain,
~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f75,plain,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f79,plain,
~ heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f81,plain,
$false,
inference(forward_subsumption_resolution,[],[f79,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW409-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:53:47 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.90/1.26 % (2635159)Input is clausal, will run a generic CNF schedule.
% 4.90/1.26 % (2635206)dis-21_1_sil=8000:lcm=predicate:random_seed=1687960058:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 4.90/1.26 % (2635206)Refutation not found, incomplete strategy
% 4.90/1.26 % (2635206)------------------------------
% 4.90/1.26 % (2635206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.26 % (2635206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.26 % (2635206)CaDiCaL version: 2.1.3
% 4.90/1.26 % (2635206)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.26 % (2635206)Time elapsed: 0.001 s
% 4.90/1.26 % (2635206)Peak memory usage: 88 MB
% 4.90/1.26 % (2635206)Instructions burned: 2 (million)
% 4.90/1.26 % (2635205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2151747081:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 4.90/1.26 % (2635200)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1411726602:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 4.90/1.26 % (2635199)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=1235801239:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 4.90/1.26 % (2635201)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1625970837:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 4.90/1.26 % (2635202)lrs+10_1_sil=8000:sp=occurrence:random_seed=2519710025:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 4.90/1.26 % (2635203)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1197541179:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 4.90/1.26 % (2635202)Instruction limit reached!
% 4.90/1.26 % (2635202)------------------------------
% 4.90/1.26 % (2635202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.26 % (2635202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.26 % (2635202)CaDiCaL version: 2.1.3
% 4.90/1.26 % (2635202)Termination reason: Instruction limit
% 4.90/1.26 % (2635202)Termination phase: Saturation
% 4.90/1.26 % (2635202)Time elapsed: 0.064 s
% 4.90/1.26 % (2635202)Peak memory usage: 88 MB
% 4.90/1.26 % (2635202)Instructions burned: 109 (million)
% 4.90/1.26 % (2635203)Instruction limit reached!
% 4.90/1.26 % (2635203)------------------------------
% 4.90/1.26 % (2635203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.26 % (2635203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.26 % (2635203)CaDiCaL version: 2.1.3
% 4.90/1.26 % (2635203)Termination reason: Instruction limit
% 4.90/1.26 % (2635203)Termination phase: Saturation
% 4.90/1.26 % (2635203)Time elapsed: 0.071 s
% 4.90/1.26 % (2635203)Peak memory usage: 88 MB
% 4.90/1.26 % (2635203)Instructions burned: 114 (million)
% 4.90/1.26 % (2635205)Instruction limit reached!
% 4.90/1.26 % (2635205)------------------------------
% 4.90/1.26 % (2635205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.26 % (2635205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.27 % (2635205)CaDiCaL version: 2.1.3
% 4.90/1.27 % (2635205)Termination reason: Instruction limit
% 4.90/1.27 % (2635205)Termination phase: Saturation
% 4.90/1.27 % (2635205)Time elapsed: 0.102 s
% 4.90/1.27 % (2635205)Peak memory usage: 89 MB
% 4.90/1.27 % (2635205)Instructions burned: 181 (million)
% 4.90/1.27 % (2635206)------------------------------
% 4.90/1.27 % (2635206)------------------------------
% 4.90/1.27 % (2635256)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=3928723602:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.90/1.27 % (2635258)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1963880175:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.90/1.27 % (2635256)Refutation not found, incomplete strategy
% 4.90/1.27 % (2635256)------------------------------
% 4.90/1.27 % (2635256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.27 % (2635256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.27 % (2635256)CaDiCaL version: 2.1.3
% 4.90/1.27 % (2635256)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.27 % (2635256)Time elapsed: 0.002 s
% 4.90/1.27 % (2635256)Peak memory usage: 88 MB
% 4.90/1.27 % (2635256)Instructions burned: 1 (million)
% 4.90/1.27 % (2635258)First to succeed.
% 4.90/1.27 % (2635258)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2635159"
% 4.90/1.27 % (2635271)lrs+10_64_to=lpo:sil=8000:random_seed=1311131152:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.90/1.27 % (2635267)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=477662892:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.90/1.27 % (2635267)Refutation not found, incomplete strategy
% 4.90/1.27 % (2635267)------------------------------
% 4.90/1.27 % (2635267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.27 % (2635267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.27 % (2635267)CaDiCaL version: 2.1.3
% 4.90/1.27 % (2635267)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.27 % (2635267)Time elapsed: 0.001 s
% 4.90/1.27 % (2635267)Peak memory usage: 88 MB
% 4.90/1.27 % (2635267)Instructions burned: 1 (million)
% 4.90/1.27 % (2635271)Instruction limit reached!
% 4.90/1.27 % (2635271)------------------------------
% 4.90/1.27 % (2635271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.27 % (2635271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.27 % (2635271)CaDiCaL version: 2.1.3
% 4.90/1.27 % (2635271)Termination reason: Instruction limit
% 4.90/1.27 % (2635271)Termination phase: Saturation
% 4.90/1.27 % (2635271)Time elapsed: 0.040 s
% 4.90/1.27 % (2635271)Peak memory usage: 88 MB
% 4.90/1.27 % (2635271)Instructions burned: 129 (million)
% 4.90/1.27 % (2635291)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2457839314:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.90/1.27 % (2635291)Also succeeded, but the first one will report.
% 4.90/1.27 % (2635256)------------------------------
% 4.90/1.27 % (2635256)------------------------------
% 4.90/1.27 % (2635258)Refutation found. Thanks to Tanya!
% 4.90/1.27 % SZS status Unsatisfiable for theBenchmark
% 4.90/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 4.90/1.27 % (2635258)------------------------------
% 4.90/1.27 % (2635258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.27 % (2635258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.27 % (2635258)CaDiCaL version: 2.1.3
% 4.90/1.27 % (2635258)Termination reason: Refutation
% 4.90/1.27 % (2635258)Time elapsed: 0.004 s
% 4.90/1.27 % (2635258)Peak memory usage: 88 MB
% 4.90/1.27 % (2635258)Instructions burned: 4 (million)
% 4.90/1.27 % (2635258)------------------------------
% 4.90/1.27 % (2635258)------------------------------
% 4.90/1.27 % (2635159)Success in time 0.63 s
% 4.90/1.27 % Vampire exiting
%------------------------------------------------------------------------------