TSTP Solution File: KLE150+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE150+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 : n014.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 17:29:18 EDT 2022
% Result : Theorem 1.82s 0.60s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 28 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(subsumption_resolution,[],[f306,f65]) ).
fof(f65,plain,
sF2 != sF3,
inference(definition_folding,[],[f56,f64,f62,f63,f62]) ).
fof(f63,plain,
strong_iteration(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f62,plain,
multiplication(sK0,zero) = sF1,
introduced(function_definition,[]) ).
fof(f64,plain,
addition(one,sF1) = sF3,
introduced(function_definition,[]) ).
fof(f56,plain,
strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f38]) ).
fof(f38,plain,
( ? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero))
=> strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero)),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : strong_iteration(multiplication(X3,zero)) = addition(one,multiplication(X3,zero)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : strong_iteration(multiplication(X3,zero)) = addition(one,multiplication(X3,zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f306,plain,
sF2 = sF3,
inference(backward_demodulation,[],[f64,f304]) ).
fof(f304,plain,
addition(one,sF1) = sF2,
inference(superposition,[],[f54,f159]) ).
fof(f159,plain,
addition(sF1,one) = sF2,
inference(backward_demodulation,[],[f100,f158]) ).
fof(f158,plain,
! [X10] : sF1 = multiplication(sF1,X10),
inference(forward_demodulation,[],[f157,f62]) ).
fof(f157,plain,
! [X10] : multiplication(sK0,zero) = multiplication(sF1,X10),
inference(forward_demodulation,[],[f151,f58]) ).
fof(f58,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f151,plain,
! [X10] : multiplication(sK0,multiplication(zero,X10)) = multiplication(sF1,X10),
inference(superposition,[],[f60,f62]) ).
fof(f60,plain,
! [X2,X0,X1] : multiplication(multiplication(X1,X0),X2) = multiplication(X1,multiplication(X0,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] : multiplication(multiplication(X1,X0),X2) = multiplication(X1,multiplication(X0,X2)),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X2),X1) = multiplication(X0,multiplication(X2,X1)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f100,plain,
sF2 = addition(multiplication(sF1,sF2),one),
inference(superposition,[],[f48,f63]) ).
fof(f48,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f54,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:28:18 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.56 % (17681)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)
% 0.20/0.56 % (17683)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)
% 0.20/0.57 % (17673)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)
% 0.20/0.57 % (17689)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)
% 0.20/0.57 TRYING [1]
% 0.20/0.57 % (17675)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (17675)Instruction limit reached!
% 0.20/0.57 % (17675)------------------------------
% 0.20/0.57 % (17675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (17674)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.59/0.58 % (17691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.59/0.58 % (17675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (17675)Termination reason: Unknown
% 1.59/0.58 % (17675)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (17675)Memory used [KB]: 5373
% 1.59/0.58 % (17675)Time elapsed: 0.002 s
% 1.59/0.58 % (17675)Instructions burned: 2 (million)
% 1.59/0.58 % (17675)------------------------------
% 1.59/0.58 % (17675)------------------------------
% 1.59/0.58 % (17690)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)
% 1.59/0.58 % (17682)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)
% 1.59/0.58 TRYING [2]
% 1.59/0.58 % (17692)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.59/0.58 TRYING [3]
% 1.59/0.58 % (17684)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.59/0.59 % (17669)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)
% 1.59/0.59 % (17668)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)
% 1.59/0.59 TRYING [1]
% 1.59/0.59 TRYING [2]
% 1.59/0.59 % (17671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.59 % (17691)First to succeed.
% 1.82/0.59 % (17688)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.82/0.60 % (17676)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)
% 1.82/0.60 TRYING [3]
% 1.82/0.60 % (17687)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)
% 1.82/0.60 % (17696)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)
% 1.82/0.60 % (17693)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)
% 1.82/0.60 % (17691)Refutation found. Thanks to Tanya!
% 1.82/0.60 % SZS status Theorem for theBenchmark
% 1.82/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.60 % (17691)------------------------------
% 1.82/0.60 % (17691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (17691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (17691)Termination reason: Refutation
% 1.82/0.60
% 1.82/0.60 % (17691)Memory used [KB]: 5756
% 1.82/0.60 % (17691)Time elapsed: 0.162 s
% 1.82/0.60 % (17691)Instructions burned: 15 (million)
% 1.82/0.60 % (17691)------------------------------
% 1.82/0.60 % (17691)------------------------------
% 1.82/0.60 % (17666)Success in time 0.243 s
%------------------------------------------------------------------------------