TSTP Solution File: SET766+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n020.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 18:25:35 EDT 2022
% Result : Theorem 1.40s 0.53s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 148 ( 1 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 171 ( 55 ~; 45 |; 47 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 98 ( 86 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(subsumption_resolution,[],[f187,f113]) ).
fof(f113,plain,
~ member(sK2,sF6),
inference(definition_folding,[],[f84,f112]) ).
fof(f112,plain,
equivalence_class(sK2,sK0,sK1) = sF6,
introduced(function_definition,[]) ).
fof(f84,plain,
~ member(sK2,equivalence_class(sK2,sK0,sK1)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( equivalence(sK1,sK0)
& ~ member(sK2,equivalence_class(sK2,sK0,sK1))
& member(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( equivalence(X1,X0)
& ~ member(X2,equivalence_class(X2,X0,X1))
& member(X2,X0) )
=> ( equivalence(sK1,sK0)
& ~ member(sK2,equivalence_class(sK2,sK0,sK1))
& member(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( equivalence(X1,X0)
& ~ member(X2,equivalence_class(X2,X0,X1))
& member(X2,X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
? [X0,X2,X1] :
( equivalence(X2,X0)
& ~ member(X1,equivalence_class(X1,X0,X2))
& member(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X0,X2,X1] :
( ~ member(X1,equivalence_class(X1,X0,X2))
& member(X1,X0)
& equivalence(X2,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X2,X1] :
( ( member(X1,X0)
& equivalence(X2,X0) )
=> member(X1,equivalence_class(X1,X0,X2)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X0,X6] :
( ( equivalence(X6,X3)
& member(X0,X3) )
=> member(X0,equivalence_class(X0,X3,X6)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X0,X6] :
( ( equivalence(X6,X3)
& member(X0,X3) )
=> member(X0,equivalence_class(X0,X3,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII02) ).
fof(f187,plain,
member(sK2,sF6),
inference(forward_demodulation,[],[f171,f112]) ).
fof(f171,plain,
member(sK2,equivalence_class(sK2,sK0,sK1)),
inference(resolution,[],[f154,f83]) ).
fof(f83,plain,
member(sK2,sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f154,plain,
! [X0] :
( ~ member(sK2,X0)
| member(sK2,equivalence_class(sK2,X0,sK1)) ),
inference(resolution,[],[f107,f128]) ).
fof(f128,plain,
apply(sK1,sK2,sK2),
inference(resolution,[],[f120,f85]) ).
fof(f85,plain,
equivalence(sK1,sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
! [X0] :
( ~ equivalence(X0,sK0)
| apply(X0,sK2,sK2) ),
inference(resolution,[],[f94,f83]) ).
fof(f94,plain,
! [X0,X1,X4] :
( ~ member(X4,X0)
| ~ equivalence(X1,X0)
| apply(X1,X4,X4) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X2,X3] :
( ~ member(X2,X0)
| apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) )
& ! [X4] :
( apply(X1,X4,X4)
| ~ member(X4,X0) )
& ! [X5,X6,X7] :
( ~ apply(X1,X5,X7)
| ~ apply(X1,X6,X5)
| ~ member(X7,X0)
| apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X7,X6] :
( ~ member(X7,X0)
| apply(X1,X6,X7)
| ~ member(X6,X0)
| ~ apply(X1,X7,X6) )
& ! [X5] :
( apply(X1,X5,X5)
| ~ member(X5,X0) )
& ! [X2,X3,X4] :
( ~ apply(X1,X2,X4)
| ~ apply(X1,X3,X2)
| ~ member(X4,X0)
| apply(X1,X3,X4)
| ~ member(X2,X0)
| ~ member(X3,X0) ) ) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X4,X2,X3] :
( apply(X1,X3,X4)
| ~ apply(X1,X2,X4)
| ~ apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ member(X2,X0)
| ~ member(X4,X0) )
& ! [X5] :
( apply(X1,X5,X5)
| ~ member(X5,X0) )
& ! [X7,X6] :
( apply(X1,X6,X7)
| ~ apply(X1,X7,X6)
| ~ member(X7,X0)
| ~ member(X6,X0) ) )
| ~ equivalence(X1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( equivalence(X1,X0)
=> ( ! [X4,X2,X3] :
( ( member(X3,X0)
& member(X2,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X4)
& apply(X1,X3,X2) )
=> apply(X1,X3,X4) ) )
& ! [X5] :
( member(X5,X0)
=> apply(X1,X5,X5) )
& ! [X7,X6] :
( ( member(X7,X0)
& member(X6,X0) )
=> ( apply(X1,X7,X6)
=> apply(X1,X6,X7) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X4,X2,X3] :
( ( member(X3,X0)
& member(X2,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X4)
& apply(X1,X3,X2) )
=> apply(X1,X3,X4) ) )
& ! [X5] :
( member(X5,X0)
=> apply(X1,X5,X5) )
& ! [X7,X6] :
( ( member(X7,X0)
& member(X6,X0) )
=> ( apply(X1,X7,X6)
=> apply(X1,X6,X7) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X6] :
( ( ! [X4,X2,X5] :
( ( member(X5,X0)
& member(X2,X0)
& member(X4,X0) )
=> ( ( apply(X6,X2,X4)
& apply(X6,X4,X5) )
=> apply(X6,X2,X5) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) )
& ! [X4,X2] :
( ( member(X2,X0)
& member(X4,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) ) )
<=> equivalence(X6,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X1,X3)
| ~ member(X3,X2)
| member(X3,equivalence_class(X1,X2,X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X1,X2,X0))
| ~ apply(X0,X1,X3)
| ~ member(X3,X2) )
& ( ( apply(X0,X1,X3)
& member(X3,X2) )
| ~ member(X3,equivalence_class(X1,X2,X0)) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X3,X1,X0,X2] :
( ( member(X2,equivalence_class(X1,X0,X3))
| ~ apply(X3,X1,X2)
| ~ member(X2,X0) )
& ( ( apply(X3,X1,X2)
& member(X2,X0) )
| ~ member(X2,equivalence_class(X1,X0,X3)) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X3,X1,X0,X2] :
( ( member(X2,equivalence_class(X1,X0,X3))
| ~ apply(X3,X1,X2)
| ~ member(X2,X0) )
& ( ( apply(X3,X1,X2)
& member(X2,X0) )
| ~ member(X2,equivalence_class(X1,X0,X3)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X3,X1,X0,X2] :
( member(X2,equivalence_class(X1,X0,X3))
<=> ( apply(X3,X1,X2)
& member(X2,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X0,X2,X6] :
( member(X2,equivalence_class(X0,X3,X6))
<=> ( member(X2,X3)
& apply(X6,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_class) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:21:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.51 % (16022)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.51 % (16019)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.51 % (16039)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.28/0.51 % (16012)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.52 % (16033)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)
% 1.28/0.52 % (16025)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)
% 1.28/0.52 % (16015)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (16019)Instruction limit reached!
% 1.28/0.52 % (16019)------------------------------
% 1.28/0.52 % (16019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (16019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (16019)Termination reason: Unknown
% 1.28/0.52 % (16019)Termination phase: Property scanning
% 1.28/0.52
% 1.28/0.52 % (16019)Memory used [KB]: 895
% 1.28/0.52 % (16019)Time elapsed: 0.003 s
% 1.28/0.52 % (16019)Instructions burned: 2 (million)
% 1.28/0.52 % (16019)------------------------------
% 1.28/0.52 % (16019)------------------------------
% 1.28/0.52 % (16013)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.28/0.53 % (16012)Refutation not found, incomplete strategy% (16012)------------------------------
% 1.28/0.53 % (16012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (16040)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.28/0.53 % (16012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (16012)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (16012)Memory used [KB]: 5500
% 1.28/0.53 % (16012)Time elapsed: 0.128 s
% 1.28/0.53 % (16012)Instructions burned: 3 (million)
% 1.28/0.53 % (16012)------------------------------
% 1.28/0.53 % (16012)------------------------------
% 1.28/0.53 % (16016)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.28/0.53 % (16014)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (16011)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.40/0.53 % (16024)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.53 % (16021)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.53 % (16031)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)
% 1.40/0.53 % (16015)First to succeed.
% 1.40/0.53 TRYING [1]
% 1.40/0.53 TRYING [2]
% 1.40/0.53 % (16026)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)
% 1.40/0.53 % (16015)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status Theorem for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53 % (16015)------------------------------
% 1.40/0.53 % (16015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (16015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (16015)Termination reason: Refutation
% 1.40/0.53
% 1.40/0.53 % (16015)Memory used [KB]: 5628
% 1.40/0.53 % (16015)Time elapsed: 0.136 s
% 1.40/0.53 % (16015)Instructions burned: 5 (million)
% 1.40/0.53 % (16015)------------------------------
% 1.40/0.53 % (16015)------------------------------
% 1.40/0.53 % (16010)Success in time 0.183 s
%------------------------------------------------------------------------------