TSTP Solution File: KLE022+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n007.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 17:28:49 EDT 2022
% Result : Theorem 1.70s 0.57s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 94 ( 52 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 36 ~; 25 |; 16 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,plain,
$false,
inference(avatar_sat_refutation,[],[f336,f340]) ).
fof(f340,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f338]) ).
fof(f338,plain,
( sK1 != sK1
| ~ spl3_2 ),
inference(superposition,[],[f337,f54]) ).
fof(f54,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f337,plain,
( sK1 != multiplication(sK1,one)
| ~ spl3_2 ),
inference(backward_demodulation,[],[f201,f253]) ).
fof(f253,plain,
( one = addition(sK2,c(sK2))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl3_2
<=> one = addition(sK2,c(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f201,plain,
multiplication(sK1,addition(sK2,c(sK2))) != sK1,
inference(superposition,[],[f65,f56]) ).
fof(f56,plain,
! [X2,X0,X1] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f65,plain,
sK1 != addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( test(sK2)
& sK1 != addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f31,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( test(X1)
& addition(multiplication(X0,X1),multiplication(X0,c(X1))) != X0 )
=> ( test(sK2)
& sK1 != addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1] :
( test(X1)
& addition(multiplication(X0,X1),multiplication(X0,c(X1))) != X0 ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X1,X0] :
( test(X1)
=> addition(multiplication(X0,X1),multiplication(X0,c(X1))) = X0 ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( test(X4)
=> addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4] :
( test(X4)
=> addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f336,plain,
spl3_2,
inference(avatar_split_clause,[],[f335,f252]) ).
fof(f335,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f85,f66]) ).
fof(f66,plain,
test(sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
! [X1] :
( ~ test(X1)
| one = addition(X1,c(X1)) ),
inference(forward_demodulation,[],[f84,f67]) ).
fof(f67,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f84,plain,
! [X1] :
( one = addition(c(X1),X1)
| ~ test(X1) ),
inference(resolution,[],[f53,f68]) ).
fof(f68,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ~ test(X1)
| ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ~ test(X1)
| ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( test(X1)
=> ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( addition(X1,X0) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( addition(X1,X0) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( addition(X1,X0) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
<=> complement(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( ( zero = multiplication(X4,X3)
& zero = multiplication(X3,X4)
& one = addition(X3,X4) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n007.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 00:15:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (15769)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)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.50 TRYING [4]
% 0.20/0.50 % (15776)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (15773)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (15771)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)
% 0.20/0.52 % (15774)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)
% 0.20/0.53 % (15772)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)
% 0.20/0.53 % (15782)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (15797)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (15794)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (15789)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)
% 0.20/0.54 % (15776)Instruction limit reached!
% 0.20/0.54 % (15776)------------------------------
% 0.20/0.54 % (15776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15793)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (15791)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)
% 0.20/0.54 % (15786)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (15781)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (15787)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (15776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15776)Termination reason: Unknown
% 0.20/0.54 % (15776)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (15776)Memory used [KB]: 5500
% 0.20/0.54 % (15776)Time elapsed: 0.117 s
% 0.20/0.54 % (15776)Instructions burned: 8 (million)
% 0.20/0.54 % (15776)------------------------------
% 0.20/0.54 % (15776)------------------------------
% 0.20/0.54 % (15777)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (15777)Instruction limit reached!
% 0.20/0.54 % (15777)------------------------------
% 0.20/0.54 % (15777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15777)Termination reason: Unknown
% 0.20/0.54 % (15777)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (15777)Memory used [KB]: 895
% 0.20/0.54 % (15777)Time elapsed: 0.002 s
% 0.20/0.54 % (15777)Instructions burned: 2 (million)
% 0.20/0.54 % (15777)------------------------------
% 0.20/0.54 % (15777)------------------------------
% 0.20/0.54 % (15779)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (15778)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15798)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)
% 0.20/0.55 % (15785)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)
% 0.20/0.55 % (15783)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)
% 1.48/0.55 % (15784)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)
% 1.48/0.55 % (15792)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)
% 1.48/0.55 % (15780)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)
% 1.48/0.56 % (15775)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)
% 1.48/0.56 TRYING [1]
% 1.48/0.56 TRYING [2]
% 1.48/0.56 TRYING [3]
% 1.48/0.56 TRYING [3]
% 1.48/0.56 % (15795)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)
% 1.48/0.56 % (15790)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.56 % (15770)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)
% 1.48/0.56 TRYING [5]
% 1.48/0.56 TRYING [4]
% 1.48/0.57 % (15796)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.48/0.57 % (15779)First to succeed.
% 1.48/0.57 % (15778)Also succeeded, but the first one will report.
% 1.70/0.57 % (15779)Refutation found. Thanks to Tanya!
% 1.70/0.57 % SZS status Theorem for theBenchmark
% 1.70/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.57 % (15779)------------------------------
% 1.70/0.57 % (15779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (15779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (15779)Termination reason: Refutation
% 1.70/0.57
% 1.70/0.57 % (15779)Memory used [KB]: 5628
% 1.70/0.57 % (15779)Time elapsed: 0.144 s
% 1.70/0.57 % (15779)Instructions burned: 12 (million)
% 1.70/0.57 % (15779)------------------------------
% 1.70/0.57 % (15779)------------------------------
% 1.70/0.57 % (15764)Success in time 0.22 s
%------------------------------------------------------------------------------