%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR090+1 : 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 : n007.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 09:42:52 AM UTC 2026
% Result : Theorem 4.16s 1.52s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 68 ~; 54 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,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_26) ).
fof(f27,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_27) ).
fof(f905,axiom,
s__subclass(s__TimeInterval,s__TimePosition),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_908) ).
fof(f1259,axiom,
! [X0,X1,X2] :
( ( s__instance(X2,s__TimePosition)
& s__instance(X1,s__TimePosition)
& s__instance(X0,s__TimePosition) )
=> ( ( s__temporalPart(X0,X1)
& s__temporalPart(X1,X2) )
=> s__temporalPart(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1262) ).
fof(f14788,axiom,
s__instance(s__Time17_1,s__TimeInterval),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f14789,axiom,
s__instance(s__Time17_2,s__TimeInterval),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).
fof(f14790,axiom,
s__instance(s__Time17_3,s__TimeInterval),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_3) ).
fof(f14791,axiom,
s__temporalPart(s__Time17_1,s__Time17_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_4) ).
fof(f14792,axiom,
s__temporalPart(s__Time17_2,s__Time17_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_5) ).
fof(f14793,conjecture,
s__temporalPart(s__Time17_1,s__Time17_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(f14794,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(negated_conjecture,[status(cth)],[f14793]) ).
fof(f14796,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(flattening,[],[f14794]) ).
fof(f14809,plain,
! [X0,X1,X2] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(ennf_transformation,[],[f1259]) ).
fof(f14810,plain,
! [X0,X1,X2] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(flattening,[],[f14809]) ).
fof(f14851,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,[],[f27]) ).
fof(f14852,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,[],[f14851]) ).
fof(f14853,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f14859,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(cnf_transformation,[],[f14796]) ).
fof(f14870,plain,
! [X2,X0,X1] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(cnf_transformation,[],[f14810]) ).
fof(f14873,plain,
s__temporalPart(s__Time17_1,s__Time17_2),
inference(cnf_transformation,[],[f14791]) ).
fof(f14874,plain,
s__instance(s__Time17_1,s__TimeInterval),
inference(cnf_transformation,[],[f14788]) ).
fof(f14875,plain,
s__temporalPart(s__Time17_2,s__Time17_3),
inference(cnf_transformation,[],[f14792]) ).
fof(f14876,plain,
s__instance(s__Time17_3,s__TimeInterval),
inference(cnf_transformation,[],[f14790]) ).
fof(f14896,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(cnf_transformation,[],[f905]) ).
fof(f14915,plain,
s__instance(s__Time17_2,s__TimeInterval),
inference(cnf_transformation,[],[f14789]) ).
fof(f14930,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,[],[f14852]) ).
fof(f14931,plain,
! [X0,X1] :
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f14853]) ).
fof(f14932,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f14853]) ).
fof(f15006,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,[],[f14930,f14931]) ).
fof(f15007,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f15006,f14932]) ).
fof(f15022,plain,
! [X0] :
( ~ s__temporalPart(s__Time17_1,X0)
| ~ s__temporalPart(X0,s__Time17_3)
| ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(resolution,[],[f14870,f14859]) ).
fof(f15030,plain,
( ~ s__temporalPart(s__Time17_2,s__Time17_3)
| ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(resolution,[],[f15022,f14873]) ).
fof(f15038,plain,
( ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(forward_subsumption_resolution,[],[f15030,f14875]) ).
fof(f15041,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,X0) ),
inference(resolution,[],[f15038,f15007]) ).
fof(f15044,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,s__TimeInterval) ),
inference(resolution,[],[f15041,f14896]) ).
fof(f15045,plain,
( ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(forward_subsumption_resolution,[],[f15044,f14876]) ).
fof(f15049,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,X0) ),
inference(resolution,[],[f15045,f15007]) ).
fof(f15074,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimeInterval) ),
inference(resolution,[],[f15049,f14896]) ).
fof(f15075,plain,
~ s__instance(s__Time17_1,s__TimePosition),
inference(forward_subsumption_resolution,[],[f15074,f14915]) ).
fof(f15077,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,X0) ),
inference(resolution,[],[f15075,f15007]) ).
fof(f15082,plain,
~ s__instance(s__Time17_1,s__TimeInterval),
inference(resolution,[],[f15077,f14896]) ).
fof(f15083,plain,
$false,
inference(forward_subsumption_resolution,[],[f15082,f14874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR090+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.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 22:37:41 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 4.16/1.52 % (2933711)Detected formulas, will run a generic FOF schedule.
% 4.16/1.52 % (2933722)dis-21_1_sil=8000:lcm=predicate:random_seed=1014130400:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 4.16/1.52 % (2933719)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4149812533:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 4.16/1.52 % (2933720)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3709039473:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 4.16/1.52 % (2933718)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=444441596:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 4.16/1.52 % (2933716)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=273877831:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 4.16/1.52 % (2933717)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=1791968235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 4.16/1.52 % (2933722)Instruction limit reached!
% 4.16/1.52 % (2933722)------------------------------
% 4.16/1.52 % (2933722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.52 % (2933722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.52 % (2933722)CaDiCaL version: 2.1.3
% 4.16/1.52 % (2933722)Termination reason: Instruction limit
% 4.16/1.52 % (2933722)Termination phase: Preprocessing 3
% 4.16/1.52 % (2933722)Time elapsed: 0.044 s
% 4.16/1.52 % (2933722)Peak memory usage: 96 MB
% 4.16/1.52 % (2933722)Instructions burned: 130 (million)
% 4.16/1.52 % (2933719)Refutation not found, incomplete strategy
% 4.16/1.52 % (2933719)------------------------------
% 4.16/1.52 % (2933719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.52 % (2933719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.52 % (2933719)CaDiCaL version: 2.1.3
% 4.16/1.52 % (2933719)Termination reason: Refutation not found, incomplete strategy
% 4.16/1.52 % (2933719)Time elapsed: 0.033 s
% 4.16/1.52 % (2933719)Peak memory usage: 97 MB
% 4.16/1.52 % (2933719)Instructions burned: 62 (million)
% 4.16/1.52 % (2933721)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2978193722:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 4.16/1.52 % (2933720)First to succeed.
% 4.16/1.52 % (2933720)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2933711"
% 4.16/1.52 % (2933721)Instruction limit reached!
% 4.16/1.52 % (2933721)------------------------------
% 4.16/1.52 % (2933721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.52 % (2933721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.52 % (2933721)CaDiCaL version: 2.1.3
% 4.16/1.52 % (2933721)Termination reason: Instruction limit
% 4.16/1.52 % (2933721)Termination phase: SInE selection
% 4.16/1.52 % (2933721)Time elapsed: 0.076 s
% 4.16/1.52 % (2933721)Peak memory usage: 95 MB
% 4.16/1.52 % (2933721)Instructions burned: 139 (million)
% 4.16/1.52 % (2933729)lrs+10_1_sil=8000:sp=occurrence:random_seed=609107409:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 4.16/1.52 % (2933729)Also succeeded, but the first one will report.
% 4.16/1.52 % (2933719)------------------------------
% 4.16/1.52 % (2933719)------------------------------
% 4.16/1.52 % (2933731)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2095822533:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 4.16/1.52 % (2933720)Refutation found. Thanks to Tanya!
% 4.16/1.52 % SZS status Theorem for theBenchmark
% 4.16/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/1.52 % (2933720)------------------------------
% 4.16/1.52 % (2933720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.52 % (2933720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.52 % (2933720)CaDiCaL version: 2.1.3
% 4.16/1.52 % (2933720)Termination reason: Refutation
% 4.16/1.52 % (2933720)Time elapsed: 0.038 s
% 4.16/1.52 % (2933720)Peak memory usage: 97 MB
% 4.16/1.52 % (2933720)Instructions burned: 71 (million)
% 4.16/1.52 % (2933720)------------------------------
% 4.16/1.52 % (2933720)------------------------------
% 4.16/1.52 % (2933711)Success in time 0.763 s
% 4.16/1.52 % Vampire exiting
%------------------------------------------------------------------------------