%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW307+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 : n018.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 01:30:04 PM UTC 2026
% Result : ContradictoryAxioms 23.06s 4.42s
% Output : Refutation 23.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f631,axiom,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).
fof(f5211,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f5213,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f7911,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5211]) ).
fof(f8168,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f5213]) ).
fof(f8369,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f34]) ).
fof(f8888,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f631]) ).
fof(f12651,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X0)),X2),X1),
inference(superposition,[],[f8168,f7911]) ).
fof(f12692,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7),
inference(superposition,[],[f8888,f12651]) ).
fof(f12698,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),c_Set_OCollect(X1)),X0),
inference(superposition,[],[f12692,f8369]) ).
fof(f12718,plain,
$false,
inference(equality_resolution,[],[f12698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW307+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 13:33:55 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 11.37/2.61 % (3386439)Detected formulas, will run a generic FOF schedule.
% 11.37/2.61 % (3386448)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3213893800:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.37/2.61 % (3386448)Instruction limit reached!
% 11.37/2.61 % (3386448)------------------------------
% 11.37/2.61 % (3386448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.61 % (3386448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.61 % (3386448)CaDiCaL version: 2.1.3
% 11.37/2.61 % (3386448)Termination reason: Instruction limit
% 11.37/2.61 % (3386448)Termination phase: Property scanning
% 11.37/2.61 % (3386448)Time elapsed: 0.041 s
% 11.37/2.61 % (3386448)Peak memory usage: 93 MB
% 11.37/2.61 % (3386448)Instructions burned: 125 (million)
% 11.37/2.61 % (3386446)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2466630180:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.37/2.61 % (3386444)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=1844821917:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.37/2.61 % (3386445)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3773279531:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.37/2.61 % (3386447)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3715054968:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.37/2.61 % (3386449)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=150608093:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.37/2.61 % (3386450)dis-21_1_sil=8000:lcm=predicate:random_seed=3083203464:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.37/2.61 % (3386447)Refutation not found, incomplete strategy
% 11.37/2.61 % (3386447)------------------------------
% 11.37/2.61 % (3386447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.61 % (3386447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.61 % (3386447)CaDiCaL version: 2.1.3
% 11.37/2.61 % (3386447)Termination reason: Refutation not found, incomplete strategy
% 11.37/2.61 % (3386447)Time elapsed: 0.050 s
% 11.37/2.61 % (3386447)Peak memory usage: 94 MB
% 11.37/2.61 % (3386447)Instructions burned: 78 (million)
% 11.37/2.61 % (3386449)Instruction limit reached!
% 11.37/2.61 % (3386449)------------------------------
% 11.37/2.61 % (3386449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.61 % (3386449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.61 % (3386449)CaDiCaL version: 2.1.3
% 11.37/2.61 % (3386449)Termination reason: Instruction limit
% 11.37/2.61 % (3386449)Termination phase: SInE selection
% 11.37/2.61 % (3386449)Time elapsed: 0.058 s
% 11.37/2.61 % (3386449)Peak memory usage: 90 MB
% 11.37/2.61 % (3386449)Instructions burned: 140 (million)
% 11.37/2.61 % (3386452)lrs+10_1_sil=8000:sp=occurrence:random_seed=1160930098:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.37/2.61 % (3386450)Instruction limit reached!
% 11.37/2.61 % (3386450)------------------------------
% 11.37/2.61 % (3386450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.61 % (3386450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.61 % (3386450)CaDiCaL version: 2.1.3
% 11.37/2.61 % (3386450)Termination reason: Instruction limit
% 11.37/2.61 % (3386450)Termination phase: Preprocessing 3
% 11.37/2.61 % (3386450)Time elapsed: 0.087 s
% 11.37/2.61 % (3386450)Peak memory usage: 93 MB
% 11.37/2.61 % (3386450)Instructions burned: 131 (million)
% 11.37/2.61 % (3386452)Instruction limit reached!
% 11.37/2.61 % (3386452)------------------------------
% 11.37/2.61 % (3386452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.61 % (3386452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.61 % (3386452)CaDiCaL version: 2.1.3
% 11.37/2.61 % (3386452)Termination reason: Instruction limit
% 11.37/2.61 % (3386452)Termination phase: Saturation
% 11.37/2.61 % (3386452)Time elapsed: 0.085 s
% 11.37/2.61 % (3386452)Peak memory usage: 96 MB
% 11.37/2.61 % (3386452)Instructions burned: 286 (million)
% 19.48/3.83 % (3386459)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1790508558:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 19.48/3.83 % (3386461)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4139563933:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 19.48/3.83 % (3386462)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3563212183:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 19.48/3.83 % (3386459)Instruction limit reached!
% 19.48/3.83 % (3386459)------------------------------
% 19.48/3.83 % (3386459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.48/3.83 % (3386459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.83 % (3386459)CaDiCaL version: 2.1.3
% 19.48/3.83 % (3386459)Termination reason: Instruction limit
% 19.48/3.83 % (3386459)Termination phase: Property scanning
% 19.48/3.83 % (3386459)Time elapsed: 0.074 s
% 19.48/3.83 % (3386459)Peak memory usage: 92 MB
% 19.48/3.83 % (3386459)Instructions burned: 158 (million)
% 19.48/3.83 % (3386447)------------------------------
% 19.48/3.83 % (3386447)------------------------------
% 19.48/3.83 % (3386462)Instruction limit reached!
% 19.48/3.83 % (3386462)------------------------------
% 19.48/3.83 % (3386462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.48/3.83 % (3386462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.83 % (3386462)CaDiCaL version: 2.1.3
% 19.48/3.83 % (3386462)Termination reason: Instruction limit
% 19.48/3.83 % (3386462)Termination phase: Preprocessing 3
% 19.48/3.83 % (3386462)Time elapsed: 0.072 s
% 19.48/3.83 % (3386462)Peak memory usage: 93 MB
% 19.48/3.83 % (3386462)Instructions burned: 251 (million)
% 19.48/3.83 % (3386466)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3246612279:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 19.48/3.83 % (3386468)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=304651172:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 19.48/3.83 % (3386467)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=245770156:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 19.48/3.83 % (3386461)Instruction limit reached!
% 19.48/3.83 % (3386461)------------------------------
% 19.48/3.83 % (3386461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.48/3.83 % (3386461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.83 % (3386461)CaDiCaL version: 2.1.3
% 19.48/3.83 % (3386461)Termination reason: Instruction limit
% 19.48/3.83 % (3386461)Termination phase: Saturation
% 19.48/3.83 % (3386461)Time elapsed: 0.201 s
% 19.48/3.83 % (3386461)Peak memory usage: 96 MB
% 19.48/3.83 % (3386461)Instructions burned: 327 (million)
% 19.48/3.83 % (3386468)Instruction limit reached!
% 19.48/3.83 % (3386468)------------------------------
% 19.48/3.83 % (3386468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.48/3.83 % (3386468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.83 % (3386468)CaDiCaL version: 2.1.3
% 19.48/3.83 % (3386468)Termination reason: Instruction limit
% 19.48/3.83 % (3386468)Termination phase: Preprocessing 3
% 19.48/3.83 % (3386468)Time elapsed: 0.043 s
% 19.48/3.83 % (3386468)Peak memory usage: 93 MB
% 19.48/3.83 % (3386468)Instructions burned: 116 (million)
% 19.48/3.83 % (3386466)Instruction limit reached!
% 19.48/3.83 % (3386466)------------------------------
% 19.48/3.83 % (3386466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.48/3.83 % (3386466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.83 % (3386466)CaDiCaL version: 2.1.3
% 19.48/3.83 % (3386466)Termination reason: Instruction limit
% 19.48/3.83 % (3386466)Termination phase: Saturation
% 19.48/3.83 % (3386466)Time elapsed: 0.148 s
% 19.48/3.83 % (3386466)Peak memory usage: 95 MB
% 19.48/3.83 % (3386466)Instructions burned: 294 (million)
% 19.48/3.83 % (3386473)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1900791583:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 19.48/3.83 % (3386472)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=698546993:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 19.48/3.83 % (3386473)Instruction limit reached!
% 19.48/3.83 % (3386473)------------------------------
% 23.06/4.42 % (3386473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386473)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386473)Termination reason: Instruction limit
% 23.06/4.42 % (3386473)Termination phase: Property scanning
% 23.06/4.42 % (3386473)Time elapsed: 0.023 s
% 23.06/4.42 % (3386473)Peak memory usage: 90 MB
% 23.06/4.42 % (3386473)Instructions burned: 114 (million)
% 23.06/4.42 % (3386472)Instruction limit reached!
% 23.06/4.42 % (3386472)------------------------------
% 23.06/4.42 % (3386472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386472)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386472)Termination reason: Instruction limit
% 23.06/4.42 % (3386472)Termination phase: Preprocessing 3
% 23.06/4.42 % (3386472)Time elapsed: 0.082 s
% 23.06/4.42 % (3386472)Peak memory usage: 94 MB
% 23.06/4.42 % (3386472)Instructions burned: 128 (million)
% 23.06/4.42 % (3386477)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2858252032:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 23.06/4.42 % (3386475)lrs+10_1_sil=8000:sp=occurrence:random_seed=304948347:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 23.06/4.42 % (3386477)Instruction limit reached!
% 23.06/4.42 % (3386477)------------------------------
% 23.06/4.42 % (3386477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386477)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386477)Termination reason: Instruction limit
% 23.06/4.42 % (3386477)Termination phase: Property scanning
% 23.06/4.42 % (3386477)Time elapsed: 0.119 s
% 23.06/4.42 % (3386477)Peak memory usage: 96 MB
% 23.06/4.42 % (3386477)Instructions burned: 438 (million)
% 23.06/4.42 % (3386478)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=434332812:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 23.06/4.42 % (3386481)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=816528944:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 23.06/4.42 % (3386481)Instruction limit reached!
% 23.06/4.42 % (3386481)------------------------------
% 23.06/4.42 % (3386481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386481)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386481)Termination reason: Instruction limit
% 23.06/4.42 % (3386481)Termination phase: NewCNF
% 23.06/4.42 % (3386481)Time elapsed: 0.053 s
% 23.06/4.42 % (3386481)Peak memory usage: 95 MB
% 23.06/4.42 % (3386481)Instructions burned: 135 (million)
% 23.06/4.42 % (3386484)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4022237234:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 23.06/4.42 % (3386484)Instruction limit reached!
% 23.06/4.42 % (3386484)------------------------------
% 23.06/4.42 % (3386484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386484)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386484)Termination reason: Instruction limit
% 23.06/4.42 % (3386484)Termination phase: Property scanning
% 23.06/4.42 % (3386484)Time elapsed: 0.165 s
% 23.06/4.42 % (3386484)Peak memory usage: 97 MB
% 23.06/4.42 % (3386484)Instructions burned: 594 (million)
% 23.06/4.42 % (3386475)Instruction limit reached!
% 23.06/4.42 % (3386475)------------------------------
% 23.06/4.42 % (3386475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386475)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386475)Termination reason: Instruction limit
% 23.06/4.42 % (3386475)Termination phase: Saturation
% 23.06/4.42 % (3386475)Time elapsed: 0.560 s
% 23.06/4.42 % (3386475)Peak memory usage: 103 MB
% 23.06/4.42 % (3386475)Instructions burned: 907 (million)
% 23.06/4.42 % (3386486)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3822958166:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 23.06/4.42 % (3386487)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4004105922:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 23.06/4.42 % (3386487)Instruction limit reached!
% 23.06/4.42 % (3386487)------------------------------
% 23.06/4.42 % (3386487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386487)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386487)Termination reason: Instruction limit
% 23.06/4.42 % (3386487)Termination phase: SInE selection
% 23.06/4.42 % (3386487)Time elapsed: 0.051 s
% 23.06/4.42 % (3386487)Peak memory usage: 90 MB
% 23.06/4.42 % (3386487)Instructions burned: 126 (million)
% 23.06/4.42 % (3386490)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=754652656:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 23.06/4.42 % (3386490)Instruction limit reached!
% 23.06/4.42 % (3386490)------------------------------
% 23.06/4.42 % (3386490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386490)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386490)Termination reason: Instruction limit
% 23.06/4.42 % (3386490)Termination phase: Initialization
% 23.06/4.42 % (3386490)Time elapsed: 0.054 s
% 23.06/4.42 % (3386490)Peak memory usage: 90 MB
% 23.06/4.42 % (3386490)Instructions burned: 136 (million)
% 23.06/4.42 % (3386492)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3145037989:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 23.06/4.42 % (3386492)Refutation not found, incomplete strategy
% 23.06/4.42 % (3386492)------------------------------
% 23.06/4.42 % (3386492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386492)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386492)Termination reason: Refutation not found, incomplete strategy
% 23.06/4.42 % (3386492)Time elapsed: 0.038 s
% 23.06/4.42 % (3386492)Peak memory usage: 94 MB
% 23.06/4.42 % (3386492)Instructions burned: 52 (million)
% 23.06/4.42 % (3386467)Instruction limit reached!
% 23.06/4.42 % (3386467)------------------------------
% 23.06/4.42 % (3386467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386467)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386467)Termination reason: Instruction limit
% 23.06/4.42 % (3386467)Termination phase: Saturation
% 23.06/4.42 % (3386467)Time elapsed: 1.599 s
% 23.06/4.42 % (3386467)Peak memory usage: 240 MB
% 23.06/4.42 % (3386467)Instructions burned: 2351 (million)
% 23.06/4.42 % (3386492)------------------------------
% 23.06/4.42 % (3386492)------------------------------
% 23.06/4.42 % (3386494)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3029827794:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 23.06/4.42 % (3386495)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2176405212:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 23.06/4.42 % (3386494)Instruction limit reached!
% 23.06/4.42 % (3386494)------------------------------
% 23.06/4.42 % (3386494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386494)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386494)Termination reason: Instruction limit
% 23.06/4.42 % (3386494)Termination phase: Saturation
% 23.06/4.42 % (3386494)Time elapsed: 0.201 s
% 23.06/4.42 % (3386494)Peak memory usage: 95 MB
% 23.06/4.42 % (3386494)Instructions burned: 435 (million)
% 23.06/4.42 % (3386498)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=921815194:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 23.06/4.42 % (3386498)Instruction limit reached!
% 23.06/4.42 % (3386498)------------------------------
% 23.06/4.42 % (3386498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386498)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386498)Termination reason: Instruction limit
% 23.06/4.42 % (3386498)Termination phase: Preprocessing 3
% 23.06/4.42 % (3386498)Time elapsed: 0.095 s
% 23.06/4.42 % (3386498)Peak memory usage: 94 MB
% 23.06/4.42 % (3386498)Instructions burned: 151 (million)
% 23.06/4.42 % (3386478)First to succeed.
% 23.06/4.42 % (3386478)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3386439"
% 23.06/4.42 % (3386486)Also succeeded, but the first one will report.
% 23.06/4.42 % (3386500)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4099617057:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 23.06/4.42 % (3386502)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1352641958:i=667:av=off:fsr=off_2966 on theBenchmark for (2966ds/667Mi)
% 23.06/4.42 % (3386478)Refutation found. Thanks to Tanya!
% 23.06/4.42 % SZS status ContradictoryAxioms for theBenchmark
% 23.06/4.42 % SZS output start Proof for theBenchmark
% See solution above
% 23.06/4.42 % (3386478)------------------------------
% 23.06/4.42 % (3386478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.42 % (3386478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.42 % (3386478)CaDiCaL version: 2.1.3
% 23.06/4.42 % (3386478)Termination reason: Refutation
% 23.06/4.42 % (3386478)Time elapsed: 1.882 s
% 23.06/4.42 % (3386478)Peak memory usage: 168 MB
% 23.06/4.42 % (3386478)Instructions burned: 3170 (million)
% 23.06/4.42 % (3386478)------------------------------
% 23.06/4.42 % (3386478)------------------------------
% 23.06/4.42 % (3386439)Success in time 3.511 s
% 23.06/4.42 % Vampire exiting
%------------------------------------------------------------------------------