TSTP Solution File: SEU010+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 18:31:43 EDT 2022
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 93 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 38 ~; 28 |; 14 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(subsumption_resolution,[],[f291,f273]) ).
fof(f273,plain,
sK9 != sF15,
inference(trivial_inequality_removal,[],[f272]) ).
fof(f272,plain,
( sK9 != sF15
| sK9 != sK9 ),
inference(backward_demodulation,[],[f171,f270]) ).
fof(f270,plain,
sK9 = sF12,
inference(backward_demodulation,[],[f167,f269]) ).
fof(f269,plain,
relation_composition(sK9,sF11) = sK9,
inference(forward_demodulation,[],[f268,f166]) ).
fof(f166,plain,
sF11 = identity_relation(sF10),
introduced(function_definition,[]) ).
fof(f268,plain,
sK9 = relation_composition(sK9,identity_relation(sF10)),
inference(resolution,[],[f265,f121]) ).
fof(f121,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f265,plain,
! [X0] :
( ~ subset(sF10,X0)
| sK9 = relation_composition(sK9,identity_relation(X0)) ),
inference(subsumption_resolution,[],[f263,f162]) ).
fof(f162,plain,
relation(sK9),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( function(sK9)
& relation(sK9)
& ( sK9 != relation_composition(sK9,identity_relation(relation_rng(sK9)))
| sK9 != relation_composition(identity_relation(relation_dom(sK9)),sK9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f60,f109]) ).
fof(f109,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 ) )
=> ( function(sK9)
& relation(sK9)
& ( sK9 != relation_composition(sK9,identity_relation(relation_rng(sK9)))
| sK9 != relation_composition(identity_relation(relation_dom(sK9)),sK9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0] :
( ( relation_composition(X0,identity_relation(relation_rng(X0))) != X0
| relation_composition(identity_relation(relation_dom(X0)),X0) != X0 )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_funct_1) ).
fof(f263,plain,
! [X0] :
( ~ relation(sK9)
| sK9 = relation_composition(sK9,identity_relation(X0))
| ~ subset(sF10,X0) ),
inference(superposition,[],[f139,f165]) ).
fof(f165,plain,
sF10 = relation_rng(sK9),
introduced(function_definition,[]) ).
fof(f139,plain,
! [X0,X1] :
( ~ subset(relation_rng(X0),X1)
| ~ relation(X0)
| relation_composition(X0,identity_relation(X1)) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( relation_composition(X0,identity_relation(X1)) = X0
| ~ subset(relation_rng(X0),X1)
| ~ relation(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( relation_composition(X0,identity_relation(X1)) = X0
| ~ subset(relation_rng(X0),X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( relation(X0)
=> ( subset(relation_rng(X0),X1)
=> relation_composition(X0,identity_relation(X1)) = X0 ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X0] :
( relation(X1)
=> ( subset(relation_rng(X1),X0)
=> relation_composition(X1,identity_relation(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_relat_1) ).
fof(f167,plain,
relation_composition(sK9,sF11) = sF12,
introduced(function_definition,[]) ).
fof(f171,plain,
( sK9 != sF15
| sK9 != sF12 ),
inference(definition_folding,[],[f161,f170,f169,f168,f167,f166,f165]) ).
fof(f168,plain,
relation_dom(sK9) = sF13,
introduced(function_definition,[]) ).
fof(f169,plain,
sF14 = identity_relation(sF13),
introduced(function_definition,[]) ).
fof(f170,plain,
sF15 = relation_composition(sF14,sK9),
introduced(function_definition,[]) ).
fof(f161,plain,
( sK9 != relation_composition(sK9,identity_relation(relation_rng(sK9)))
| sK9 != relation_composition(identity_relation(relation_dom(sK9)),sK9) ),
inference(cnf_transformation,[],[f110]) ).
fof(f291,plain,
sK9 = sF15,
inference(backward_demodulation,[],[f170,f290]) ).
fof(f290,plain,
sK9 = relation_composition(sF14,sK9),
inference(forward_demodulation,[],[f289,f169]) ).
fof(f289,plain,
relation_composition(identity_relation(sF13),sK9) = sK9,
inference(resolution,[],[f286,f121]) ).
fof(f286,plain,
! [X0] :
( ~ subset(sF13,X0)
| sK9 = relation_composition(identity_relation(X0),sK9) ),
inference(subsumption_resolution,[],[f284,f162]) ).
fof(f284,plain,
! [X0] :
( sK9 = relation_composition(identity_relation(X0),sK9)
| ~ subset(sF13,X0)
| ~ relation(sK9) ),
inference(superposition,[],[f155,f168]) ).
fof(f155,plain,
! [X0,X1] :
( ~ subset(relation_dom(X0),X1)
| ~ relation(X0)
| relation_composition(identity_relation(X1),X0) = X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( relation_composition(identity_relation(X1),X0) = X0
| ~ subset(relation_dom(X0),X1)
| ~ relation(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( relation(X1)
=> ( subset(relation_dom(X1),X0)
=> relation_composition(identity_relation(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 14:46:44 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (29653)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.47 % (29655)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48 % (29647)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48 % (29656)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48 % (29669)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.48 % (29663)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.48 % (29665)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.48 % (29661)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.49 % (29648)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (29649)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (29649)Instruction limit reached!
% 0.16/0.49 % (29649)------------------------------
% 0.16/0.49 % (29649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (29649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (29649)Termination reason: Unknown
% 0.16/0.49 % (29649)Termination phase: Blocked clause elimination
% 0.16/0.49
% 0.16/0.49 % (29649)Memory used [KB]: 895
% 0.16/0.49 % (29649)Time elapsed: 0.004 s
% 0.16/0.49 % (29649)Instructions burned: 3 (million)
% 0.16/0.49 % (29649)------------------------------
% 0.16/0.49 % (29649)------------------------------
% 0.16/0.49 % (29657)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49 % (29664)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.49 TRYING [1]
% 0.16/0.49 TRYING [2]
% 0.16/0.50 % (29656)First to succeed.
% 0.16/0.50 % (29648)Instruction limit reached!
% 0.16/0.50 % (29648)------------------------------
% 0.16/0.50 % (29648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (29648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (29648)Termination reason: Unknown
% 0.16/0.50 % (29648)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (29648)Memory used [KB]: 5500
% 0.16/0.50 % (29648)Time elapsed: 0.111 s
% 0.16/0.50 % (29648)Instructions burned: 7 (million)
% 0.16/0.50 % (29648)------------------------------
% 0.16/0.50 % (29648)------------------------------
% 0.16/0.50 % (29656)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (29656)------------------------------
% 0.16/0.50 % (29656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (29656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (29656)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (29656)Memory used [KB]: 1023
% 0.16/0.50 % (29656)Time elapsed: 0.099 s
% 0.16/0.50 % (29656)Instructions burned: 8 (million)
% 0.16/0.50 % (29656)------------------------------
% 0.16/0.50 % (29656)------------------------------
% 0.16/0.50 % (29640)Success in time 0.176 s
%------------------------------------------------------------------------------