TSTP Solution File: KLE137+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE137+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 17:29:14 EDT 2022
% Result : Theorem 1.54s 0.58s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 24 unt; 0 def)
% Number of atoms : 46 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 8 |; 1 &)
% ( 1 <=>; 2 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(resolution,[],[f301,f62]) ).
fof(f62,plain,
~ leq(sK0,sF1),
inference(definition_folding,[],[f51,f61]) ).
fof(f61,plain,
strong_iteration(one) = sF1,
introduced(function_definition,[]) ).
fof(f51,plain,
~ leq(sK0,strong_iteration(one)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ leq(sK0,strong_iteration(one)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f34]) ).
fof(f34,plain,
( ? [X0] : ~ leq(X0,strong_iteration(one))
=> ~ leq(sK0,strong_iteration(one)) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] : ~ leq(X0,strong_iteration(one)),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0] : leq(X0,strong_iteration(one)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : leq(X3,strong_iteration(one)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : leq(X3,strong_iteration(one)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f301,plain,
! [X0] : leq(X0,sF1),
inference(superposition,[],[f295,f49]) ).
fof(f49,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f295,plain,
! [X8,X9] : leq(X8,multiplication(sF1,X9)),
inference(forward_demodulation,[],[f294,f61]) ).
fof(f294,plain,
! [X8,X9] : leq(X8,multiplication(strong_iteration(one),X9)),
inference(subsumption_resolution,[],[f282,f256]) ).
fof(f256,plain,
! [X6,X5] : leq(X5,addition(X5,X6)),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
! [X6,X5] :
( addition(X5,X6) != addition(X5,X6)
| leq(X5,addition(X5,X6)) ),
inference(superposition,[],[f54,f209]) ).
fof(f209,plain,
! [X2,X3] : addition(X2,addition(X2,X3)) = addition(X2,X3),
inference(superposition,[],[f57,f58]) ).
fof(f58,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f57,plain,
! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f54,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',order) ).
fof(f282,plain,
! [X8,X9] :
( ~ leq(X8,addition(X8,X9))
| leq(X8,multiplication(strong_iteration(one),X9)) ),
inference(superposition,[],[f41,f60]) ).
fof(f60,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ leq(X1,addition(multiplication(X0,X1),X2))
| leq(X1,multiplication(strong_iteration(X0),X2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( leq(X1,multiplication(strong_iteration(X0),X2))
| ~ leq(X1,addition(multiplication(X0,X1),X2)) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X2,X1] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_coinduction) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n007.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 00:11:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (904)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48 % (895)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)
% 0.20/0.52 % (888)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 % (887)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 % (889)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 % (894)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (894)Instruction limit reached!
% 0.20/0.53 % (894)------------------------------
% 0.20/0.53 % (894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (894)Termination reason: Unknown
% 0.20/0.53 % (894)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (894)Memory used [KB]: 5373
% 0.20/0.53 % (894)Time elapsed: 0.126 s
% 0.20/0.53 % (894)Instructions burned: 3 (million)
% 0.20/0.53 % (894)------------------------------
% 0.20/0.53 % (894)------------------------------
% 0.20/0.53 % (914)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 % (886)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)
% 0.20/0.53 % (915)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 % (892)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)
% 0.20/0.53 % (891)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 % (908)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)
% 0.20/0.53 % (893)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (890)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (903)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (897)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)
% 0.20/0.54 % (906)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 % (893)Instruction limit reached!
% 0.20/0.54 % (893)------------------------------
% 0.20/0.54 % (893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (893)Termination reason: Unknown
% 0.20/0.54 % (893)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (893)Memory used [KB]: 5500
% 0.20/0.54 % (893)Time elapsed: 0.139 s
% 0.20/0.54 % (893)Instructions burned: 8 (million)
% 0.20/0.54 % (893)------------------------------
% 0.20/0.54 % (893)------------------------------
% 0.20/0.54 % (911)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 % (900)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 % (898)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 % (902)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (899)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (907)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (905)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)
% 0.20/0.55 % (913)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)
% 0.20/0.55 % (909)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)
% 0.20/0.55 % (896)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (912)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)
% 0.20/0.55 % (901)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)
% 0.20/0.55 % (910)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (898)First to succeed.
% 1.54/0.57 % (895)Instruction limit reached!
% 1.54/0.57 % (895)------------------------------
% 1.54/0.57 % (895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (895)Termination reason: Unknown
% 1.54/0.57 % (895)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (895)Memory used [KB]: 1791
% 1.54/0.57 % (895)Time elapsed: 0.165 s
% 1.54/0.57 % (895)Instructions burned: 51 (million)
% 1.54/0.57 % (895)------------------------------
% 1.54/0.57 % (895)------------------------------
% 1.54/0.58 % (898)Refutation found. Thanks to Tanya!
% 1.54/0.58 % SZS status Theorem for theBenchmark
% 1.54/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.58 % (898)------------------------------
% 1.54/0.58 % (898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (898)Termination reason: Refutation
% 1.54/0.58
% 1.54/0.58 % (898)Memory used [KB]: 5628
% 1.54/0.58 % (898)Time elapsed: 0.176 s
% 1.54/0.58 % (898)Instructions burned: 11 (million)
% 1.54/0.58 % (898)------------------------------
% 1.54/0.58 % (898)------------------------------
% 1.54/0.58 % (885)Success in time 0.228 s
%------------------------------------------------------------------------------