TSTP Solution File: KLE141+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE141+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 : 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 17:29:15 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 34 unt; 0 def)
% Number of atoms : 60 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 9 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 69 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(subsumption_resolution,[],[f462,f66]) ).
fof(f66,plain,
sF2 != sF1,
inference(definition_folding,[],[f52,f65,f64,f64]) ).
fof(f64,plain,
strong_iteration(one) = sF1,
introduced(function_definition,[]) ).
fof(f65,plain,
multiplication(sF1,sK0) = sF2,
introduced(function_definition,[]) ).
fof(f52,plain,
strong_iteration(one) != multiplication(strong_iteration(one),sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
strong_iteration(one) != multiplication(strong_iteration(one),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f36]) ).
fof(f36,plain,
( ? [X0] : strong_iteration(one) != multiplication(strong_iteration(one),X0)
=> strong_iteration(one) != multiplication(strong_iteration(one),sK0) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] : strong_iteration(one) != multiplication(strong_iteration(one),X0),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : strong_iteration(one) = multiplication(strong_iteration(one),X0),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : strong_iteration(one) = multiplication(strong_iteration(one),X3),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : strong_iteration(one) = multiplication(strong_iteration(one),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f462,plain,
sF2 = sF1,
inference(superposition,[],[f407,f409]) ).
fof(f409,plain,
! [X2] : addition(sF2,X2) = sF2,
inference(superposition,[],[f406,f45]) ).
fof(f45,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f21]) ).
fof(f21,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(f406,plain,
! [X0] : addition(X0,sF2) = sF2,
inference(resolution,[],[f404,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f404,plain,
! [X0] : leq(X0,sF2),
inference(superposition,[],[f399,f65]) ).
fof(f399,plain,
! [X8,X9] : leq(X8,multiplication(sF1,X9)),
inference(forward_demodulation,[],[f398,f64]) ).
fof(f398,plain,
! [X8,X9] : leq(X8,multiplication(strong_iteration(one),X9)),
inference(subsumption_resolution,[],[f388,f251]) ).
fof(f251,plain,
! [X6,X5] : leq(X5,addition(X5,X6)),
inference(trivial_inequality_removal,[],[f249]) ).
fof(f249,plain,
! [X6,X5] :
( addition(X5,X6) != addition(X5,X6)
| leq(X5,addition(X5,X6)) ),
inference(superposition,[],[f55,f116]) ).
fof(f116,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f56,f46]) ).
fof(f46,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f56,plain,
! [X2,X0,X1] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(addition(X2,X1),X0) = addition(X2,addition(X1,X0)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f55,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f388,plain,
! [X8,X9] :
( leq(X8,multiplication(strong_iteration(one),X9))
| ~ leq(X8,addition(X8,X9)) ),
inference(superposition,[],[f44,f63]) ).
fof(f63,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ leq(X0,addition(multiplication(X2,X0),X1))
| leq(X0,multiplication(strong_iteration(X2),X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ leq(X0,addition(multiplication(X2,X0),X1))
| leq(X0,multiplication(strong_iteration(X2),X1)) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ~ leq(X1,addition(multiplication(X2,X1),X0))
| leq(X1,multiplication(strong_iteration(X2),X0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( leq(X1,addition(multiplication(X2,X1),X0))
=> leq(X1,multiplication(strong_iteration(X2),X0)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2,X0] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f407,plain,
! [X0] : addition(X0,sF1) = sF1,
inference(resolution,[],[f405,f54]) ).
fof(f405,plain,
! [X1] : leq(X1,sF1),
inference(superposition,[],[f399,f58]) ).
fof(f58,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE141+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:28:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (12819)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)
% 0.20/0.49 % (12809)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)
% 0.20/0.50 % (12796)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)
% 0.20/0.50 % (12811)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)
% 0.20/0.50 % (12798)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (12800)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)
% 0.20/0.50 % (12810)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.51 % (12805)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (12807)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (12794)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)
% 0.20/0.51 % (12799)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)
% 0.20/0.51 % (12801)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (12808)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (12820)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (12806)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (12813)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.52 % (12808)First to succeed.
% 0.20/0.52 % (12815)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)
% 0.20/0.52 % (12814)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (12802)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (12802)Instruction limit reached!
% 0.20/0.52 % (12802)------------------------------
% 0.20/0.52 % (12802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12802)Termination reason: Unknown
% 0.20/0.52 % (12802)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12802)Memory used [KB]: 895
% 0.20/0.52 % (12802)Time elapsed: 0.002 s
% 0.20/0.52 % (12802)Instructions burned: 2 (million)
% 0.20/0.52 % (12802)------------------------------
% 0.20/0.52 % (12802)------------------------------
% 0.20/0.52 % (12823)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (12797)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)
% 0.20/0.52 % (12818)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)
% 0.20/0.52 % (12795)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (12821)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (12801)Instruction limit reached!
% 0.20/0.52 % (12801)------------------------------
% 0.20/0.52 % (12801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12801)Termination reason: Unknown
% 0.20/0.52 % (12801)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12801)Memory used [KB]: 5500
% 0.20/0.52 % (12801)Time elapsed: 0.089 s
% 0.20/0.52 % (12801)Instructions burned: 8 (million)
% 0.20/0.52 % (12801)------------------------------
% 0.20/0.52 % (12801)------------------------------
% 0.20/0.53 % (12817)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (12803)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)
% 0.20/0.53 % (12825)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)
% 0.20/0.53 % (12812)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (12822)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (12824)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.55 % (12808)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (12808)------------------------------
% 0.20/0.55 % (12808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12808)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (12808)Memory used [KB]: 5628
% 0.20/0.55 % (12808)Time elapsed: 0.114 s
% 0.20/0.55 % (12808)Instructions burned: 15 (million)
% 0.20/0.55 % (12808)------------------------------
% 0.20/0.55 % (12808)------------------------------
% 0.20/0.55 % (12791)Success in time 0.194 s
%------------------------------------------------------------------------------