%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI038+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:27:23 PM UTC 2026
% Result : CounterSatisfiable 7.98s 1.77s
% Output : Saturation 7.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u109,axiom,
( isMethodExistence(X1)
| isMethodAction(X1) ) ).
cnf(u113,axiom,
( ~ expressesInfiniteEssentiality(X1)
| ~ expressesEternalEssentiality(X1) ) ).
cnf(u121,negated_conjecture,
god(sK0) ).
cnf(u124,negated_conjecture,
~ absolutelyInfinite(sK0) ).
cnf(u130,negated_conjecture,
being(sK0) ).
cnf(u138,axiom,
substance(X1) ).
cnf(u100,axiom,
( ~ being(X0)
| hasEssence(X0) ) ).
cnf(u82,axiom,
( ~ attributeOf(X1,X0)
| expressesInfiniteEssentiality(X1)
| ~ absolutelyInfinite(X0) ) ).
cnf(u94,axiom,
( determinedByFixedMethod(X0,X1)
| ~ necessary(X0) ) ).
cnf(u86,axiom,
( attributeOf(X1,X0)
| ~ substance(X0)
| ~ constInInfAttributes(X0)
| absolutelyInfinite(X0) ) ).
cnf(u72,axiom,
( ~ conceivedThruItself(X0)
| ~ inItself(X0)
| substance(X0) ) ).
cnf(u96,axiom,
( ~ determinedByDefiniteMethod(X0,X1)
| ~ externalTo(X1,X0)
| ~ determinedByFixedMethod(X0,X1)
| necessary(X0)
| ~ isMethodExistence(X1) ) ).
cnf(u84,axiom,
( ~ absolutelyInfinite(X0)
| constInInfAttributes(X0) ) ).
cnf(u66,axiom,
( ~ selfCaused(X0)
| essenceInvExistence(X0) ) ).
cnf(u76,axiom,
( modification(X0,X1)
| existsIn(X0,X2)
| ~ mode(X0) ) ).
cnf(u78,axiom,
( ~ modification(X0,X1)
| mode(X0)
| ~ substance(X1) ) ).
cnf(u68,axiom,
( canBeLimitedBy(X0,X1)
| ~ finiteAfterItsKind(X0) ) ).
cnf(u153,axiom,
essenceInvExistence(X0) ).
cnf(u70,axiom,
( ~ substance(X0)
| conceivedThruItself(X0) ) ).
cnf(u145,axiom,
conceivedThruItself(X0) ).
cnf(u147,axiom,
hasEssence(X0) ).
cnf(u97,axiom,
( ~ determinedByDefiniteMethod(X0,X1)
| ~ externalTo(X1,X0)
| ~ determinedByFixedMethod(X0,X1)
| necessary(X0)
| ~ isMethodAction(X1) ) ).
cnf(u99,axiom,
( ~ inItself(X0)
| selfCaused(X0) ) ).
cnf(u101,axiom,
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ) ).
cnf(u61,axiom,
( ~ existsIn(X0,X0)
| exists(X0) ) ).
cnf(u95,axiom,
( externalTo(X1,X0)
| ~ necessary(X0) ) ).
cnf(u89,axiom,
( ~ free(X0)
| existsOnlyByNecessityOfOwnNature(X0) ) ).
cnf(u91,axiom,
( ~ determinedByItselfAlone(X1,X0)
| ~ existsOnlyByNecessityOfOwnNature(X0)
| free(X0) ) ).
cnf(u60,axiom,
( ~ existsIn(X0,X1)
| exists(X0)
| X0 = X1 ) ).
cnf(u83,axiom,
( ~ attributeOf(X1,X0)
| expressesEternalEssentiality(X1)
| ~ absolutelyInfinite(X0) ) ).
cnf(u162,axiom,
mode(X0) ).
cnf(u93,axiom,
( determinedByDefiniteMethod(X0,X1)
| ~ necessary(X0) ) ).
cnf(u85,axiom,
( ~ absolutelyInfinite(X0)
| substance(X0) ) ).
cnf(u103,axiom,
conceivedThru(X1,X1) ).
cnf(u160,axiom,
( ~ existsIn(X0,X0)
| mode(X0) ) ).
cnf(u152,axiom,
selfCaused(X0) ).
cnf(u75,axiom,
( modification(X0,X1)
| conceivedThru(X0,X2)
| ~ mode(X0) ) ).
cnf(u65,axiom,
( effectNecessarilyFollowsFrom(X1,X0)
| ~ definiteCause(X0) ) ).
cnf(u154,axiom,
exists(X0) ).
cnf(u67,axiom,
( sameKind(X0,X1)
| ~ finiteAfterItsKind(X0) ) ).
cnf(u146,axiom,
being(X0) ).
cnf(u77,axiom,
( ~ conceivedThru(X0,X2)
| ~ existsIn(X0,X2)
| mode(X0) ) ).
cnf(u69,axiom,
( ~ sameKind(X0,X1)
| ~ canBeLimitedBy(X0,X1)
| finiteAfterItsKind(X0) ) ).
cnf(u98,axiom,
( ~ substance(X0)
| being(X0) ) ).
cnf(u71,axiom,
( ~ substance(X0)
| inItself(X0) ) ).
cnf(u150,axiom,
( ~ essenceInvExistence(X0)
| exists(X0) ) ).
cnf(u144,axiom,
inItself(X0) ).
cnf(u102,axiom,
( existsIn(X1,X1)
| ~ exists(X1) ) ).
cnf(u88,axiom,
( ~ actionOf(X1,X0)
| determinedByItselfAlone(X1,X0)
| ~ free(X0) ) ).
cnf(u90,axiom,
( actionOf(X1,X0)
| ~ existsOnlyByNecessityOfOwnNature(X0)
| free(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PHI038+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.35 % Computer : n012.cluster.edu
% 0.04/0.35 % Model : x86_64 x86_64
% 0.04/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.35 % Memory : 8046.5625MB
% 0.04/0.35 % OS : Linux 6.8.0-71-generic
% 0.04/0.35 % CPULimit : 300
% 0.04/0.35 % WCLimit : 300
% 0.04/0.35 % DateTime : Sun Sep 27 22:07:35 UTC 2026
% 0.04/0.35 % CPUTime :
% 0.04/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.37 Running first-order theorem proving
% 0.04/0.37 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
% 4.03/1.25 % (2800762)Detected formulas, will run a generic FOF schedule.
% 4.03/1.25 % (2800770)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4031400871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.03/1.25 % (2800768)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=628918254:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.03/1.25 % (2800771)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4249256082:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.03/1.25 % (2800767)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=3974476970:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.03/1.25 % (2800769)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=2929457317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.03/1.25 % (2800770)Refutation not found, incomplete strategy
% 4.03/1.25 % (2800770)------------------------------
% 4.03/1.25 % (2800770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.25 % (2800770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.25 % (2800771)Refutation not found, incomplete strategy
% 4.03/1.25 % (2800771)------------------------------
% 4.03/1.25 % (2800771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.25 % (2800770)CaDiCaL version: 2.1.3
% 4.03/1.25 % (2800770)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.25 % (2800770)Time elapsed: 0.0000 s
% 4.03/1.25 % (2800771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.25 % (2800770)Peak memory usage: 87 MB
% 4.03/1.25 % (2800771)CaDiCaL version: 2.1.3
% 4.03/1.25 % (2800771)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.25 % (2800771)Time elapsed: 0.0000 s
% 4.03/1.25 % (2800771)Peak memory usage: 87 MB
% 4.03/1.25 % (2800772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=911769962:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.03/1.25 % (2800773)dis-21_1_sil=8000:lcm=predicate:random_seed=2576561977:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.03/1.25 % (2800772)Refutation not found, incomplete strategy
% 4.03/1.25 % (2800772)------------------------------
% 4.03/1.25 % (2800772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.25 % (2800772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.25 % (2800772)CaDiCaL version: 2.1.3
% 4.03/1.25 % (2800772)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.25 % (2800772)Time elapsed: 0.001 s
% 4.03/1.25 % (2800772)Peak memory usage: 88 MB
% 4.03/1.25 % (2800772)Instructions burned: 2 (million)
% 4.03/1.25 % (2800773)Refutation not found, incomplete strategy
% 4.03/1.25 % (2800773)------------------------------
% 4.03/1.25 % (2800773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.25 % (2800773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.25 % (2800773)CaDiCaL version: 2.1.3
% 4.03/1.25 % (2800773)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.25 % (2800773)Time elapsed: 0.001 s
% 4.03/1.25 % (2800773)Peak memory usage: 88 MB
% 4.03/1.25 % (2800773)Instructions burned: 2 (million)
% 4.03/1.25 % (2800771)------------------------------
% 4.03/1.25 % (2800771)------------------------------
% 4.03/1.25 % (2800770)------------------------------
% 4.03/1.25 % (2800770)------------------------------
% 4.03/1.25 % (2800773)------------------------------
% 4.03/1.25 % (2800773)------------------------------
% 4.03/1.25 % (2800772)------------------------------
% 4.03/1.25 % (2800772)------------------------------
% 4.03/1.25 [W927 22:07:35.311132821 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.03/1.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.03/1.25 [W927 22:07:35.311156317 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.55/1.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.55/1.52 % (2800781)lrs+10_1_sil=8000:sp=occurrence:random_seed=2388743343:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.55/1.52 % (2800781)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800781)------------------------------
% 5.55/1.52 % (2800781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800781)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800781)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800781)Time elapsed: 0.001 s
% 5.55/1.52 % (2800781)Peak memory usage: 88 MB
% 5.55/1.52 % (2800781)Instructions burned: 1 (million)
% 5.55/1.52 % (2800782)lrs+10_1_sil=32000:urr=on:br=off:random_seed=234958810:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.55/1.52 % (2800783)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1033355543:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.55/1.52 % (2800783)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800783)------------------------------
% 5.55/1.52 % (2800783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800782)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800782)------------------------------
% 5.55/1.52 % (2800782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800783)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800783)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800783)Time elapsed: 0.001 s
% 5.55/1.52 % (2800782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800783)Peak memory usage: 88 MB
% 5.55/1.52 % (2800782)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800782)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800782)Time elapsed: 0.001 s
% 5.55/1.52 % (2800782)Peak memory usage: 88 MB
% 5.55/1.52 % (2800782)Instructions burned: 1 (million)
% 5.55/1.52 % (2800784)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=3064333813:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.55/1.52 % (2800784)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800784)------------------------------
% 5.55/1.52 % (2800784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800784)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800784)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800784)Time elapsed: 0.001 s
% 5.55/1.52 % (2800784)Peak memory usage: 89 MB
% 5.55/1.52 % (2800784)Instructions burned: 2 (million)
% 5.55/1.52 % (2800768)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800768)------------------------------
% 5.55/1.52 % (2800768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800768)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800768)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800768)Time elapsed: 0.338 s
% 5.55/1.52 % (2800768)Peak memory usage: 127 MB
% 5.55/1.52 % (2800768)Instructions burned: 898 (million)
% 5.55/1.52 % (2800767)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800767)------------------------------
% 5.55/1.52 % (2800767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.52 % (2800767)CaDiCaL version: 2.1.3
% 5.55/1.52 % (2800767)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.52 % (2800767)Time elapsed: 0.342 s
% 5.55/1.52 % (2800767)Peak memory usage: 127 MB
% 5.55/1.52 % (2800767)Instructions burned: 909 (million)
% 5.55/1.52 % (2800769)Refutation not found, incomplete strategy
% 5.55/1.52 % (2800769)------------------------------
% 5.55/1.52 % (2800769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.52 % (2800769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.67 % (2800769)CaDiCaL version: 2.1.3
% 5.80/1.67 % (2800769)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.67 % (2800769)Time elapsed: 0.358 s
% 5.80/1.67 % (2800769)Peak memory usage: 128 MB
% 5.80/1.67 % (2800769)Instructions burned: 940 (million)
% 5.80/1.67 % (2800781)------------------------------
% 5.80/1.67 % (2800781)------------------------------
% 5.80/1.67 % (2800782)------------------------------
% 5.80/1.67 % (2800782)------------------------------
% 5.80/1.67 % (2800783)------------------------------
% 5.80/1.67 % (2800783)------------------------------
% 5.80/1.67 % (2800784)------------------------------
% 5.80/1.67 % (2800784)------------------------------
% 5.80/1.67 % (2800768)------------------------------
% 5.80/1.67 % (2800768)------------------------------
% 5.80/1.67 % (2800790)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=261578183:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.80/1.67 % (2800789)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3343661859:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.80/1.67 % (2800791)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3543393811:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.80/1.67 % (2800789)Refutation not found, incomplete strategy
% 5.80/1.67 % (2800789)------------------------------
% 5.80/1.67 % (2800789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.67 % (2800789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.67 % (2800789)CaDiCaL version: 2.1.3
% 5.80/1.67 % (2800789)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.67 % (2800789)Time elapsed: 0.001 s
% 5.80/1.67 % (2800789)Peak memory usage: 88 MB
% 5.80/1.67 % (2800791)Refutation not found, incomplete strategy
% 5.80/1.67 % (2800791)------------------------------
% 5.80/1.67 % (2800791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.67 % (2800791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.67 % (2800791)CaDiCaL version: 2.1.3
% 5.80/1.67 % (2800791)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.67 % (2800791)Time elapsed: 0.001 s
% 5.80/1.67 % (2800791)Peak memory usage: 88 MB
% 5.80/1.67 % (2800791)Instructions burned: 2 (million)
% 5.80/1.67 % (2800767)------------------------------
% 5.80/1.67 % (2800767)------------------------------
% 5.80/1.67 % (2800769)------------------------------
% 5.80/1.67 % (2800769)------------------------------
% 5.80/1.67 % (2800792)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3445424025:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.80/1.67 % (2800792)Refutation not found, incomplete strategy
% 5.80/1.67 % (2800792)------------------------------
% 5.80/1.67 % (2800792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.67 % (2800792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.67 % (2800792)CaDiCaL version: 2.1.3
% 5.80/1.67 % (2800792)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.67 % (2800792)Time elapsed: 0.001 s
% 5.80/1.67 % (2800792)Peak memory usage: 88 MB
% 5.80/1.67 % (2800792)Instructions burned: 1 (million)
% 5.80/1.67 % (2800796)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1610944204:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.80/1.67 % (2800796)Refutation not found, incomplete strategy
% 5.80/1.67 % (2800796)------------------------------
% 5.80/1.67 % (2800796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.67 % (2800796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.67 % (2800796)CaDiCaL version: 2.1.3
% 5.80/1.67 % (2800796)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.67 % (2800796)Time elapsed: 0.001 s
% 5.80/1.67 % (2800796)Peak memory usage: 88 MB
% 5.80/1.67 % (2800797)lrs+10_1_sil=8000:sp=occurrence:random_seed=1622120940:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.80/1.67 % (2800797)Refutation not found, incomplete strategy
% 5.80/1.67 % (2800797)------------------------------
% 5.80/1.67 % (2800797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.67 % (2800797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800797)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800797)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.77 % (2800797)Time elapsed: 0.001 s
% 7.98/1.77 % (2800797)Peak memory usage: 88 MB
% 7.98/1.77 % (2800797)Instructions burned: 1 (million)
% 7.98/1.77 % (2800799)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=378462333:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 7.98/1.77 % (2800799)Refutation not found, incomplete strategy
% 7.98/1.77 % (2800799)------------------------------
% 7.98/1.77 % (2800799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.77 % (2800799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800799)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800799)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.77 % (2800799)Time elapsed: 0.001 s
% 7.98/1.77 % (2800799)Peak memory usage: 88 MB
% 7.98/1.77 % (2800799)Instructions burned: 1 (million)
% 7.98/1.77 % (2800791)------------------------------
% 7.98/1.77 % (2800791)------------------------------
% 7.98/1.77 % (2800789)------------------------------
% 7.98/1.77 % (2800789)------------------------------
% 7.98/1.77 % (2800792)------------------------------
% 7.98/1.77 % (2800792)------------------------------
% 7.98/1.77 % (2800796)------------------------------
% 7.98/1.77 % (2800796)------------------------------
% 7.98/1.77 % (2800797)------------------------------
% 7.98/1.77 % (2800797)------------------------------
% 7.98/1.77 % (2800804)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=518543002:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 7.98/1.77 % (2800804)Refutation not found, incomplete strategy
% 7.98/1.77 % (2800804)------------------------------
% 7.98/1.77 % (2800804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.77 % (2800804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800804)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800804)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.77 % (2800804)Time elapsed: 0.002 s
% 7.98/1.77 % (2800804)Peak memory usage: 88 MB
% 7.98/1.77 % (2800804)Instructions burned: 2 (million)
% 7.98/1.77 % (2800803)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=866633650:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.98/1.77 % (2800799)------------------------------
% 7.98/1.77 % (2800799)------------------------------
% 7.98/1.77 % (2800805)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1529418461:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 7.98/1.77 % (2800805)Refutation not found, incomplete strategy
% 7.98/1.77 % (2800805)------------------------------
% 7.98/1.77 % (2800805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.77 % (2800805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800805)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800805)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.77 % (2800805)Time elapsed: 0.001 s
% 7.98/1.77 % (2800805)Peak memory usage: 88 MB
% 7.98/1.77 % (2800805)Instructions burned: 1 (million)
% 7.98/1.77 % (2800806)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=864953657:st=3:i=13193:sd=3:ss=axioms_2991 on theBenchmark for (2991ds/13193Mi)
% 7.98/1.77 % (2800808)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=2161240019:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/125Mi)
% 7.98/1.77 % (2800808)Refutation not found, incomplete strategy
% 7.98/1.77 % (2800808)------------------------------
% 7.98/1.77 % (2800808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.77 % (2800808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800808)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800808)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.77 % (2800808)Time elapsed: 0.001 s
% 7.98/1.77 % (2800808)Peak memory usage: 89 MB
% 7.98/1.77 % (2800808)Instructions burned: 2 (million)
% 7.98/1.77 % (2800790)First to succeed.
% 7.98/1.77 % (2800790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2800762"
% 7.98/1.77 % (2800810)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3964941476:i=134:gtgl=5:slsql=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/134Mi)
% 7.98/1.77 % (2800810)Also succeeded, but the first one will report.
% 7.98/1.77 % (2800804)------------------------------
% 7.98/1.77 % (2800804)------------------------------
% 7.98/1.77 % (2800805)------------------------------
% 7.98/1.77 % (2800805)------------------------------
% 7.98/1.77 % (2800808)------------------------------
% 7.98/1.77 % (2800808)------------------------------
% 7.98/1.77 % (2800815)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=822933458:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/141Mi)
% 7.98/1.77 % SZS status CounterSatisfiable for theBenchmark
% 7.98/1.77 % SZS output start Saturation.
% See solution above
% 7.98/1.77 % SZS output start Definitions and Model Updates.
% 7.98/1.77 for all inputs,
% 7.98/1.77 define haveNothingInCommon(X0,X1) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define canBeUnderstoodInTermsOf(X0,X1) := $false
% 7.98/1.77 for all inputs,
% 7.98/1.77 define conceptionInvolves(X0,X1) := $false
% 7.98/1.77 for all inputs,
% 7.98/1.77 define trueIdea(X0) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define correspondWith(X0,X1) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define ideateOf(X0,X1) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define objectOf(X0,X1) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define canBeConceivedAsNonExisting(X0) := $false
% 7.98/1.77 for all inputs,
% 7.98/1.77 define natureConcOnlyByExistence(X0) := $true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define knowledgeOfEffect(X0,X1) := knowledgeOfACause(X0)
% 7.98/1.77 for all groundings,
% 7.98/1.77 whenever essenceInvExistence(X0) & natureConcOnlyByExistence(X0) is true, set selfCaused(X0) to true
% 7.98/1.77 for all inputs,
% 7.98/1.77 define attribute(X0) := intPercAsConstEssSub(X0)
% 7.98/1.77 for all inputs,
% 7.98/1.77 define eternity(X0) := existConcFollowFromDefEternal(X0)
% 7.98/1.77 % SZS output end Definitions and Model Updates.
% 7.98/1.77 % (2800790)------------------------------
% 7.98/1.77 % (2800790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.77 % (2800790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.77 % (2800790)CaDiCaL version: 2.1.3
% 7.98/1.77 % (2800790)Termination reason: Satisfiable
% 7.98/1.77 % (2800790)Time elapsed: 0.350 s
% 7.98/1.77 % (2800790)Peak memory usage: 128 MB
% 7.98/1.77 % (2800790)Instructions burned: 910 (million)
% 7.98/1.77 % (2800790)------------------------------
% 7.98/1.77 % (2800790)------------------------------
% 7.98/1.77 % (2800762)Success in time 1.114 s
% 7.98/1.77 % Vampire exiting
%------------------------------------------------------------------------------