%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR086+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:42:49 AM UTC 2026
% Result : Theorem 8.75s 3.59s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 97 ( 42 ~; 37 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 44 ( 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26456,axiom,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26635) ).
fof(f26457,axiom,
! [X0,X1,X2] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__subclass(X0,X1)
& s__instance(X2,X0) )
=> s__instance(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26636) ).
fof(f32515,axiom,
s__subclass(s__GraphLoop,s__GraphArc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32707) ).
fof(f32518,axiom,
! [X0] :
( s__instance(X0,s__GraphArc)
=> ( s__instance(X0,s__GraphLoop)
<=> ? [X1] :
( s__instance(X1,s__GraphNode)
& s__links(X1,X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32710) ).
fof(f55587,axiom,
s__instance(s__Arc13_1,s__GraphLoop),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f55588,conjecture,
? [X0] : s__links(X0,X0,s__Arc13_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f55589,negated_conjecture,
~ ? [X0] : s__links(X0,X0,s__Arc13_1),
inference(negated_conjecture,[status(cth)],[f55588]) ).
fof(f55595,plain,
! [X0] : ~ s__links(X0,X0,s__Arc13_1),
inference(ennf_transformation,[],[f55589]) ).
fof(f55647,plain,
! [X0] :
( ( s__instance(X0,s__GraphLoop)
<=> ? [X1] :
( s__instance(X1,s__GraphNode)
& s__links(X1,X1,X0) ) )
| ~ s__instance(X0,s__GraphArc) ),
inference(ennf_transformation,[],[f32518]) ).
fof(f55654,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f26457]) ).
fof(f55655,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f55654]) ).
fof(f55656,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26456]) ).
fof(f55698,plain,
! [X0] :
( ( ( s__instance(X0,s__GraphLoop)
| ! [X1] :
( ~ s__instance(X1,s__GraphNode)
| ~ s__links(X1,X1,X0) ) )
& ( ? [X1] :
( s__instance(X1,s__GraphNode)
& s__links(X1,X1,X0) )
| ~ s__instance(X0,s__GraphLoop) ) )
| ~ s__instance(X0,s__GraphArc) ),
inference(nnf_transformation,[],[f55647]) ).
fof(f55699,plain,
! [X0] :
( ( ( s__instance(X0,s__GraphLoop)
| ! [X1] :
( ~ s__instance(X1,s__GraphNode)
| ~ s__links(X1,X1,X0) ) )
& ( ? [X2] :
( s__instance(X2,s__GraphNode)
& s__links(X2,X2,X0) )
| ~ s__instance(X0,s__GraphLoop) ) )
| ~ s__instance(X0,s__GraphArc) ),
inference(rectify,[],[f55698]) ).
fof(f55700,plain,
! [X0] :
( ( ( s__instance(X0,s__GraphLoop)
| ! [X1] :
( ~ s__instance(X1,s__GraphNode)
| ~ s__links(X1,X1,X0) ) )
& ( ( s__instance(sK12(X0),s__GraphNode)
& s__links(sK12(X0),sK12(X0),X0) )
| ~ s__instance(X0,s__GraphLoop) ) )
| ~ s__instance(X0,s__GraphArc) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0))],[f55699]) ).
fof(f55707,plain,
! [X0] : ~ s__links(X0,X0,s__Arc13_1),
inference(cnf_transformation,[],[f55595]) ).
fof(f55734,plain,
s__instance(s__Arc13_1,s__GraphLoop),
inference(cnf_transformation,[],[f55587]) ).
fof(f55770,plain,
! [X0] :
( s__links(sK12(X0),sK12(X0),X0)
| ~ s__instance(X0,s__GraphLoop)
| ~ s__instance(X0,s__GraphArc) ),
inference(cnf_transformation,[],[f55700]) ).
fof(f55773,plain,
s__subclass(s__GraphLoop,s__GraphArc),
inference(cnf_transformation,[],[f32515]) ).
fof(f55781,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f55655]) ).
fof(f55782,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f55656]) ).
fof(f55783,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f55656]) ).
fof(f55842,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[],[f55781,f55782]) ).
fof(f55846,plain,
! [X2,X0,X1] :
( ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| s__instance(X2,X1) ),
inference(forward_subsumption_resolution,[],[f55842,f55783]) ).
fof(f55929,plain,
! [X0] :
( ~ s__subclass(s__GraphLoop,X0)
| s__instance(s__Arc13_1,X0) ),
inference(resolution,[],[f55846,f55734]) ).
fof(f56195,plain,
( ~ s__instance(s__Arc13_1,s__GraphLoop)
| ~ s__instance(s__Arc13_1,s__GraphArc) ),
inference(resolution,[],[f55770,f55707]) ).
fof(f56196,plain,
~ s__instance(s__Arc13_1,s__GraphArc),
inference(forward_subsumption_resolution,[],[f56195,f55734]) ).
fof(f56392,plain,
s__instance(s__Arc13_1,s__GraphArc),
inference(resolution,[],[f55929,f55773]) ).
fof(f56394,plain,
$false,
inference(forward_subsumption_resolution,[],[f56392,f56196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR086+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:36:05 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.63/3.31 % (656817)Detected formulas, will run a generic FOF schedule.
% 6.63/3.31 % (656823)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=672761250:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 6.63/3.31 % (656822)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=4278128396:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 6.63/3.31 % (656827)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3359754928:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 6.63/3.31 % (656825)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3115584880:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 6.63/3.31 % (656824)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=2061387845:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 6.63/3.31 % (656826)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=600439518:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 6.63/3.31 % (656828)dis-21_1_sil=8000:lcm=predicate:random_seed=1080878313:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 6.63/3.31 % (656825)Instruction limit reached!
% 6.63/3.31 % (656825)------------------------------
% 6.63/3.31 % (656825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/3.31 % (656825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/3.31 % (656825)CaDiCaL version: 2.1.3
% 6.63/3.31 % (656825)Termination reason: Instruction limit
% 6.63/3.31 % (656825)Termination phase: SInE selection
% 6.63/3.31 % (656825)Time elapsed: 0.069 s
% 6.63/3.31 % (656825)Peak memory usage: 138 MB
% 6.63/3.31 % (656825)Instructions burned: 110 (million)
% 6.63/3.31 % (656826)Instruction limit reached!
% 6.63/3.31 % (656826)------------------------------
% 6.63/3.31 % (656826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/3.31 % (656826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/3.31 % (656826)CaDiCaL version: 2.1.3
% 6.63/3.31 % (656826)Termination reason: Instruction limit
% 6.63/3.31 % (656826)Termination phase: SInE selection
% 6.63/3.31 % (656826)Time elapsed: 0.073 s
% 6.63/3.31 % (656826)Peak memory usage: 138 MB
% 6.63/3.31 % (656826)Instructions burned: 119 (million)
% 6.63/3.31 % (656827)Instruction limit reached!
% 6.63/3.31 % (656827)------------------------------
% 6.63/3.31 % (656827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/3.31 % (656827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/3.31 % (656827)CaDiCaL version: 2.1.3
% 6.63/3.31 % (656827)Termination reason: Instruction limit
% 6.63/3.31 % (656827)Termination phase: Property scanning
% 6.63/3.31 % (656827)Time elapsed: 0.076 s
% 6.63/3.31 % (656827)Peak memory usage: 138 MB
% 6.63/3.31 % (656827)Instructions burned: 141 (million)
% 6.63/3.31 % (656828)Instruction limit reached!
% 6.63/3.31 % (656828)------------------------------
% 6.63/3.31 % (656828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/3.31 % (656828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/3.31 % (656828)CaDiCaL version: 2.1.3
% 6.63/3.31 % (656828)Termination reason: Instruction limit
% 6.63/3.31 % (656828)Termination phase: SInE selection
% 6.63/3.31 % (656828)Time elapsed: 0.078 s
% 6.63/3.31 % (656828)Peak memory usage: 139 MB
% 6.63/3.31 % (656828)Instructions burned: 130 (million)
% 6.63/3.31 % (656836)lrs+10_1_sil=8000:sp=occurrence:random_seed=471922075:i=285:sd=3:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/285Mi)
% 6.63/3.31 % (656837)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1922659006:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 6.63/3.31 % (656838)lrs+1011_1_sil=32000:sp=occurrence:random_seed=325346117:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 6.63/3.31 % (656839)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=111307630:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 6.63/3.31 % (656837)Instruction limit reached!
% 6.63/3.31 % (656837)------------------------------
% 8.75/3.59 % (656837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/3.59 % (656837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/3.59 % (656837)CaDiCaL version: 2.1.3
% 8.75/3.59 % (656837)Termination reason: Instruction limit
% 8.75/3.59 % (656837)Termination phase: Property scanning
% 8.75/3.59 % (656837)Time elapsed: 0.082 s
% 8.75/3.59 % (656837)Peak memory usage: 138 MB
% 8.75/3.59 % (656837)Instructions burned: 157 (million)
% 8.75/3.59 % (656839)Instruction limit reached!
% 8.75/3.59 % (656839)------------------------------
% 8.75/3.59 % (656839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/3.59 % (656839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/3.59 % (656839)CaDiCaL version: 2.1.3
% 8.75/3.59 % (656839)Termination reason: Instruction limit
% 8.75/3.59 % (656839)Termination phase: Property scanning
% 8.75/3.59 % (656839)Time elapsed: 0.122 s
% 8.75/3.59 % (656839)Peak memory usage: 138 MB
% 8.75/3.59 % (656839)Instructions burned: 249 (million)
% 8.75/3.59 % (656838)Refutation not found, incomplete strategy
% 8.75/3.59 % (656838)------------------------------
% 8.75/3.59 % (656838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/3.59 % (656838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/3.59 % (656838)CaDiCaL version: 2.1.3
% 8.75/3.59 % (656838)Termination reason: Refutation not found, incomplete strategy
% 8.75/3.59 % (656838)Time elapsed: 0.151 s
% 8.75/3.59 % (656838)Peak memory usage: 144 MB
% 8.75/3.59 % (656838)Instructions burned: 208 (million)
% 8.75/3.59 % (656836)First to succeed.
% 8.75/3.59 % (656836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-656817"
% 8.75/3.59 % (656844)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2910214389:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 8.75/3.59 % (656845)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4057584073:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 8.75/3.59 % (656844)Instruction limit reached!
% 8.75/3.59 % (656844)------------------------------
% 8.75/3.59 % (656844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/3.59 % (656844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/3.59 % (656844)CaDiCaL version: 2.1.3
% 8.75/3.59 % (656844)Termination reason: Instruction limit
% 8.75/3.59 % (656844)Termination phase: Saturation
% 8.75/3.59 % (656844)Time elapsed: 0.194 s
% 8.75/3.59 % (656844)Peak memory usage: 142 MB
% 8.75/3.59 % (656844)Instructions burned: 294 (million)
% 8.75/3.59 % (656838)------------------------------
% 8.75/3.59 % (656838)------------------------------
% 8.75/3.59 % (656836)Refutation found. Thanks to Tanya!
% 8.75/3.59 % SZS status Theorem for theBenchmark
% 8.75/3.59 % SZS output start Proof for theBenchmark
% See solution above
% 8.75/3.59 % (656836)------------------------------
% 8.75/3.59 % (656836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/3.59 % (656836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/3.59 % (656836)CaDiCaL version: 2.1.3
% 8.75/3.59 % (656836)Termination reason: Refutation
% 8.75/3.59 % (656836)Time elapsed: 0.170 s
% 8.75/3.59 % (656836)Peak memory usage: 144 MB
% 8.75/3.59 % (656836)Instructions burned: 227 (million)
% 8.75/3.59 % (656836)------------------------------
% 8.75/3.59 % (656836)------------------------------
% 8.75/3.59 % (656817)Success in time 2.649 s
% 8.75/3.59 % Vampire exiting
%------------------------------------------------------------------------------