TSTP Solution File: CSR100+7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR100+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:02:29 EDT 2024
% Result : Theorem 189.64s 28.53s
% Output : Refutation 189.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 132 ( 17 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 161 ( 51 ~; 48 |; 51 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 79 ( 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455771,plain,
$false,
inference(equality_resolution,[],[f267222]) ).
fof(f267222,plain,
! [X0] : s__GroupOf6 != X0,
inference(superposition,[],[f100805,f198162]) ).
fof(f198162,plain,
! [X2,X1] : X1 = X2,
inference(superposition,[],[f198161,f198161]) ).
fof(f198161,plain,
! [X0,X1] : s__UnionFn(s__Class31_1,X0) = X1,
inference(resolution,[],[f157195,f100804]) ).
fof(f100804,plain,
! [X0] : ~ s__instance(X0,s__Class31_1),
inference(cnf_transformation,[],[f76800]) ).
fof(f76800,plain,
! [X0] : ~ s__instance(X0,s__Class31_1),
inference(ennf_transformation,[],[f55599]) ).
fof(f55599,plain,
~ ? [X0] : s__instance(X0,s__Class31_1),
inference(rectify,[],[f55598]) ).
fof(f55598,negated_conjecture,
~ ? [X2340] : s__instance(X2340,s__Class31_1),
inference(negated_conjecture,[],[f55597]) ).
fof(f55597,conjecture,
? [X2340] : s__instance(X2340,s__Class31_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f157195,plain,
! [X2,X0,X1] :
( s__instance(sK3617(X0,X1,X2),X2)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f100419]) ).
fof(f100419,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ( ~ sP687(X0,sK3619(X0,X1,X2),X2,X1,sK3618(X0,X1,X2),sK3617(X0,X1,X2))
& s__instance(sK3619(X0,X1,X2),X1)
& s__instance(sK3618(X0,X1,X2),X0)
& s__instance(sK3617(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( sP687(X0,X8,X2,X1,X7,X6)
| ~ s__instance(X8,X1)
| ~ s__instance(X7,X0)
| ~ s__instance(X6,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3617,sK3618,sK3619])],[f100417,f100418]) ).
fof(f100418,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ sP687(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) )
=> ( ~ sP687(X0,sK3619(X0,X1,X2),X2,X1,sK3618(X0,X1,X2),sK3617(X0,X1,X2))
& s__instance(sK3619(X0,X1,X2),X1)
& s__instance(sK3618(X0,X1,X2),X0)
& s__instance(sK3617(X0,X1,X2),X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) ),
introduced(choice_axiom,[]) ).
fof(f100417,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP687(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( sP687(X0,X8,X2,X1,X7,X6)
| ~ s__instance(X8,X1)
| ~ s__instance(X7,X0)
| ~ s__instance(X6,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(rectify,[],[f100416]) ).
fof(f100416,plain,
! [X0,X1,X2] :
( ( s__UnionFn(X2,X0) = X1
| ? [X3,X4,X5] :
( ~ sP687(X0,X5,X2,X1,X4,X3)
& s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2)
& s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X3,X4,X5] :
( sP687(X0,X5,X2,X1,X4,X3)
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f95093]) ).
fof(f95093,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( sP687(X0,X5,X2,X1,X4,X3)
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(definition_folding,[],[f92651,f95092]) ).
fof(f95092,plain,
! [X0,X5,X2,X1,X4,X3] :
( sP687(X0,X5,X2,X1,X4,X3)
<=> ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP687])]) ).
fof(f92651,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) )
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(flattening,[],[f92650]) ).
fof(f92650,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) )
| ~ s__instance(X5,X1)
| ~ s__instance(X4,X0)
| ~ s__instance(X3,X2)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) ) ),
inference(ennf_transformation,[],[f63965]) ).
fof(f63965,plain,
! [X0,X1,X2] :
( s__UnionFn(X2,X0) = X1
<=> ! [X3,X4,X5] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X2,s__SetOrClass) )
=> ( ( s__instance(X5,X1)
& s__instance(X4,X0)
& s__instance(X3,X2) )
=> ( ( s__instance(X5,X0)
| s__instance(X5,X2) )
& s__instance(X4,X1)
& s__instance(X3,X1) ) ) ) ),
inference(rectify,[],[f32412]) ).
fof(f32412,axiom,
! [X136,X11,X135] :
( s__UnionFn(X135,X136) = X11
<=> ! [X1137,X33,X1138] :
( ( s__instance(X136,s__SetOrClass)
& s__instance(X11,s__SetOrClass)
& s__instance(X135,s__SetOrClass) )
=> ( ( s__instance(X1138,X11)
& s__instance(X33,X136)
& s__instance(X1137,X135) )
=> ( ( s__instance(X1138,X136)
| s__instance(X1138,X135) )
& s__instance(X33,X11)
& s__instance(X1137,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_32603) ).
fof(f100805,plain,
s__BigSix != s__GroupOf6,
inference(cnf_transformation,[],[f14197]) ).
fof(f14197,axiom,
s__BigSix != s__GroupOf6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_14330) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR100+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:22:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (27436)Running in auto input_syntax mode. Trying TPTP
% 1.40/1.62 % (27678)WARNING: value z3 for option sas not known
% 1.40/1.62 % (27676)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.40/1.62 % (27677)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.40/1.62 % (27678)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 1.40/1.62 % (27679)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.40/1.62 % (27680)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 1.40/1.62 % (27681)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 1.40/1.62 % (27682)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 29.67/5.65 Detected minimum model sizes of [617]
% 29.67/5.65 Detected maximum model sizes of [max]
% 29.67/5.65 Cannot represent all propositional literals internally
% 29.67/5.65 % (27679)Refutation not found, incomplete strategy% (27679)------------------------------
% 29.67/5.65 % (27679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.67/5.65 % (27679)Termination reason: Refutation not found, incomplete strategy
% 29.67/5.65
% 29.67/5.65 % (27679)Memory used [KB]: 295941
% 29.67/5.65 % (27679)Time elapsed: 4.036 s
% 29.67/5.65 % (27679)Instructions burned: 14508 (million)
% 29.67/5.68 % (27679)------------------------------
% 29.67/5.68 % (27679)------------------------------
% 29.67/5.70 Detected minimum model sizes of [617]
% 29.67/5.70 Detected maximum model sizes of [max]
% 29.67/5.70 Cannot represent all propositional literals internally
% 29.67/5.70 % (27677)Refutation not found, incomplete strategy% (27677)------------------------------
% 29.67/5.70 % (27677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.67/5.70 % (27677)Termination reason: Refutation not found, incomplete strategy
% 29.67/5.70
% 29.67/5.70 % (27677)Memory used [KB]: 299948
% 29.67/5.70 % (27677)Time elapsed: 4.083 s
% 29.67/5.70 % (27677)Instructions burned: 15455 (million)
% 29.67/5.71 % (27683)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 30.20/5.72 % (27677)------------------------------
% 30.20/5.72 % (27677)------------------------------
% 30.20/5.76 % (27684)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 51.44/8.77 Detected minimum model sizes of [617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617,617]
% 51.44/8.77 Detected maximum model sizes of [max,8,56,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 51.44/8.77 Cannot represent all propositional literals internally
% 51.44/8.77 % (27683)Refutation not found, incomplete strategy% (27683)------------------------------
% 51.44/8.77 % (27683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 51.44/8.77 % (27683)Termination reason: Refutation not found, incomplete strategy
% 51.44/8.77
% 51.44/8.77 % (27683)Memory used [KB]: 264604
% 51.44/8.77 % (27683)Time elapsed: 3.062 s
% 51.44/8.77 % (27683)Instructions burned: 11428 (million)
% 51.44/8.80 % (27683)------------------------------
% 51.44/8.80 % (27683)------------------------------
% 52.13/8.83 % (27685)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 55.45/9.31 Detected minimum model sizes of [617]
% 55.45/9.31 Detected maximum model sizes of [max]
% 55.45/9.31 Cannot represent all propositional literals internally
% 55.45/9.31 % (27676)Refutation not found, incomplete strategy% (27676)------------------------------
% 55.45/9.31 % (27676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 55.45/9.31 % (27676)Termination reason: Refutation not found, incomplete strategy
% 55.45/9.31
% 55.45/9.31 % (27676)Memory used [KB]: 611061
% 55.45/9.31 % (27676)Time elapsed: 7.688 s
% 55.45/9.31 % (27676)Instructions burned: 28516 (million)
% 55.53/9.35 % (27676)------------------------------
% 55.53/9.35 % (27676)------------------------------
% 55.53/9.40 % (27686)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 189.13/28.49 % (27681)First to succeed.
% 189.64/28.50 % (27681)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27436"
% 189.64/28.53 % (27681)Refutation found. Thanks to Tanya!
% 189.64/28.53 % SZS status Theorem for theBenchmark
% 189.64/28.53 % SZS output start Proof for theBenchmark
% See solution above
% 189.64/28.53 % (27681)------------------------------
% 189.64/28.53 % (27681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 189.64/28.53 % (27681)Termination reason: Refutation
% 189.64/28.53
% 189.64/28.53 % (27681)Memory used [KB]: 172203
% 189.64/28.53 % (27681)Time elapsed: 26.866 s
% 189.64/28.53 % (27681)Instructions burned: 71106 (million)
% 189.64/28.53 % (27436)Success in time 27.999 s
%------------------------------------------------------------------------------