%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW407-1 : 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 6.81s 1.74s
% Output : Refutation 6.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 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(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
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(f11,axiom,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_4) ).
fof(f17,axiom,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f23,axiom,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
fof(f24,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f28,plain,
! [X2,X3,X0,X1] : sep(X1,sep(X3,sep(X0,X2))) = sep(X3,sep(X0,sep(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(superposition,[],[f24,f1]) ).
fof(f50,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(f74,plain,
! [X2,X0,X1] :
( ~ heap(sep(next(X0,X1),X2))
| X0 = X1
| heap(sep(lseg(X0,X1),X2)) ),
inference(superposition,[],[f50,f2]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X4,X5),sep(lseg(X5,X1),sep(X0,sep(next(X1,X2),X3)))))
| heap(sep(lseg(X4,X1),sep(X0,sep(next(X1,X2),X3)))) ),
inference(superposition,[],[f11,f1]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))))
| heap(sep(lseg(X1,X3),sep(X0,sep(next(X3,X4),X5)))) ),
inference(superposition,[],[f308,f28]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(X5,sep(lseg(X0,X1),sep(lseg(X2,X0),sep(next(X1,X3),X4)))))
| heap(sep(lseg(X2,X1),sep(X5,sep(next(X1,X3),X4)))) ),
inference(superposition,[],[f336,f1]) ).
fof(f4500,plain,
heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(unit_resulting_resolution,[],[f74,f23,f17]) ).
fof(f4641,plain,
heap(sep(lseg(x4,nil),sep(lseg(x1,x2),sep(lseg(x3,x1),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[],[f4500,f28]) ).
fof(f4811,plain,
heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(unit_resulting_resolution,[],[f353,f4641]) ).
fof(f4812,plain,
heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(forward_demodulation,[],[f4811,f1]) ).
fof(f4813,plain,
$false,
inference(forward_subsumption_resolution,[],[f4812,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:53:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.81/1.74 % (2634438)Input is clausal, will run a generic CNF schedule.
% 6.81/1.74 % (2634444)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2895305370:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.81/1.74 % (2634449)dis-21_1_sil=8000:lcm=predicate:random_seed=127544413: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)
% 6.81/1.74 % (2634448)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3889429460:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.81/1.74 % (2634445)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4071827227:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.81/1.74 % (2634443)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=767202185:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.81/1.74 % (2634447)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1160982068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.81/1.74 % (2634446)lrs+10_1_sil=8000:sp=occurrence:random_seed=995985424:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.81/1.74 % (2634449)Refutation not found, incomplete strategy
% 6.81/1.74 % (2634449)------------------------------
% 6.81/1.74 % (2634449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634449)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634449)Termination reason: Refutation not found, incomplete strategy
% 6.81/1.74 % (2634449)Time elapsed: 0.004 s
% 6.81/1.74 % (2634449)Peak memory usage: 88 MB
% 6.81/1.74 % (2634449)Instructions burned: 5 (million)
% 6.81/1.74 % (2634446)Instruction limit reached!
% 6.81/1.74 % (2634446)------------------------------
% 6.81/1.74 % (2634446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634446)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634446)Termination reason: Instruction limit
% 6.81/1.74 % (2634446)Termination phase: Saturation
% 6.81/1.74 % (2634446)Time elapsed: 0.063 s
% 6.81/1.74 % (2634446)Peak memory usage: 88 MB
% 6.81/1.74 % (2634446)Instructions burned: 107 (million)
% 6.81/1.74 % (2634447)Instruction limit reached!
% 6.81/1.74 % (2634447)------------------------------
% 6.81/1.74 % (2634447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634447)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634447)Termination reason: Instruction limit
% 6.81/1.74 % (2634447)Termination phase: Saturation
% 6.81/1.74 % (2634447)Time elapsed: 0.071 s
% 6.81/1.74 % (2634447)Peak memory usage: 88 MB
% 6.81/1.74 % (2634447)Instructions burned: 114 (million)
% 6.81/1.74 % (2634448)Instruction limit reached!
% 6.81/1.74 % (2634448)------------------------------
% 6.81/1.74 % (2634448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634448)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634448)Termination reason: Instruction limit
% 6.81/1.74 % (2634448)Termination phase: Saturation
% 6.81/1.74 % (2634448)Time elapsed: 0.099 s
% 6.81/1.74 % (2634448)Peak memory usage: 88 MB
% 6.81/1.74 % (2634448)Instructions burned: 180 (million)
% 6.81/1.74 % (2634457)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=3238598821:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.81/1.74 % (2634457)Refutation not found, incomplete strategy
% 6.81/1.74 % (2634457)------------------------------
% 6.81/1.74 % (2634457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634457)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634457)Termination reason: Refutation not found, incomplete strategy
% 6.81/1.74 % (2634457)Time elapsed: 0.002 s
% 6.81/1.74 % (2634457)Peak memory usage: 88 MB
% 6.81/1.74 % (2634457)Instructions burned: 1 (million)
% 6.81/1.74 % (2634458)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1269657716: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)
% 6.81/1.74 % (2634449)------------------------------
% 6.81/1.74 % (2634449)------------------------------
% 6.81/1.74 % (2634459)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=593085438:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.81/1.74 % (2634459)Refutation not found, incomplete strategy
% 6.81/1.74 % (2634459)------------------------------
% 6.81/1.74 % (2634459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634459)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634459)Termination reason: Refutation not found, incomplete strategy
% 6.81/1.74 % (2634459)Time elapsed: 0.002 s
% 6.81/1.74 % (2634459)Peak memory usage: 88 MB
% 6.81/1.74 % (2634459)Instructions burned: 1 (million)
% 6.81/1.74 % (2634458)Instruction limit reached!
% 6.81/1.74 % (2634458)------------------------------
% 6.81/1.74 % (2634458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634458)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634458)Termination reason: Instruction limit
% 6.81/1.74 % (2634458)Termination phase: Saturation
% 6.81/1.74 % (2634458)Time elapsed: 0.117 s
% 6.81/1.74 % (2634458)Peak memory usage: 90 MB
% 6.81/1.74 % (2634458)Instructions burned: 190 (million)
% 6.81/1.74 % (2634462)lrs+10_64_to=lpo:sil=8000:random_seed=285928070:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.81/1.74 % (2634457)------------------------------
% 6.81/1.74 % (2634457)------------------------------
% 6.81/1.74 % (2634462)Instruction limit reached!
% 6.81/1.74 % (2634462)------------------------------
% 6.81/1.74 % (2634462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634462)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634462)Termination reason: Instruction limit
% 6.81/1.74 % (2634462)Termination phase: Saturation
% 6.81/1.74 % (2634462)Time elapsed: 0.073 s
% 6.81/1.74 % (2634462)Peak memory usage: 88 MB
% 6.81/1.74 % (2634462)Instructions burned: 126 (million)
% 6.81/1.74 % (2634459)------------------------------
% 6.81/1.74 % (2634459)------------------------------
% 6.81/1.74 % (2634464)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1453547365:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.81/1.74 % (2634444)First to succeed.
% 6.81/1.74 % (2634444)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2634438"
% 6.81/1.74 % (2634466)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1163623107:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.81/1.74 % (2634464)Also succeeded, but the first one will report.
% 6.81/1.74 % (2634467)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2768360213:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.81/1.74 % (2634469)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3140660840:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.81/1.74 % (2634444)Refutation found. Thanks to Tanya!
% 6.81/1.74 % SZS status Unsatisfiable for theBenchmark
% 6.81/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 6.81/1.74 % (2634444)------------------------------
% 6.81/1.74 % (2634444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.74 % (2634444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.74 % (2634444)CaDiCaL version: 2.1.3
% 6.81/1.74 % (2634444)Termination reason: Refutation
% 6.81/1.74 % (2634444)Time elapsed: 0.580 s
% 6.81/1.74 % (2634444)Peak memory usage: 134 MB
% 6.81/1.74 % (2634444)Instructions burned: 1605 (million)
% 6.81/1.74 % (2634444)------------------------------
% 6.81/1.74 % (2634444)------------------------------
% 6.81/1.74 % (2634438)Success in time 0.874 s
% 6.81/1.74 % Vampire exiting
%------------------------------------------------------------------------------