TSTP Solution File: KLE037+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE037+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 : n001.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 17:28:54 EDT 2022
% Result : Theorem 2.18s 0.64s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 27 unt; 0 def)
% Number of atoms : 35 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 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 : 43 ( 42 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f347,plain,
$false,
inference(resolution,[],[f342,f48]) ).
fof(f48,plain,
~ leq(one,sF1),
inference(definition_folding,[],[f31,f47]) ).
fof(f47,plain,
sF1 = star(sK0),
introduced(function_definition,[]) ).
fof(f31,plain,
~ leq(one,star(sK0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X0] : ~ leq(one,star(X0)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : leq(one,star(X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3] : leq(one,star(X3)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3] : leq(one,star(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f342,plain,
leq(one,sF1),
inference(superposition,[],[f314,f105]) ).
fof(f105,plain,
sF1 = addition(sF1,addition(one,multiplication(sF1,sK0))),
inference(superposition,[],[f36,f81]) ).
fof(f81,plain,
sF1 = addition(addition(one,multiplication(sF1,sK0)),sF1),
inference(resolution,[],[f77,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f77,plain,
leq(addition(one,multiplication(sF1,sK0)),sF1),
inference(superposition,[],[f42,f47]) ).
fof(f42,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f314,plain,
! [X8,X9,X7] : leq(X9,addition(X8,addition(X9,X7))),
inference(forward_demodulation,[],[f308,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f308,plain,
! [X8,X9,X7] : leq(X9,addition(addition(X8,X9),X7)),
inference(superposition,[],[f282,f36]) ).
fof(f282,plain,
! [X10,X8,X9] : leq(X10,addition(X8,addition(X9,X10))),
inference(superposition,[],[f244,f30]) ).
fof(f244,plain,
! [X3,X4] : leq(X3,addition(X4,X3)),
inference(superposition,[],[f237,f36]) ).
fof(f237,plain,
! [X6,X5] : leq(X5,addition(X5,X6)),
inference(trivial_inequality_removal,[],[f235]) ).
fof(f235,plain,
! [X6,X5] :
( leq(X5,addition(X5,X6))
| addition(X5,X6) != addition(X5,X6) ),
inference(superposition,[],[f40,f158]) ).
fof(f158,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f30,f44]) ).
fof(f44,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',additive_idempotence) ).
fof(f40,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE037+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % 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 : n001.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 00:44:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (23728)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 % (23720)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)
% 0.20/0.55 % (23737)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)
% 0.20/0.56 % (23729)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)
% 0.20/0.56 % (23736)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (23721)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (23718)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (23721)Instruction limit reached!
% 0.20/0.58 % (23721)------------------------------
% 0.20/0.58 % (23721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (23721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (23721)Termination reason: Unknown
% 0.20/0.58 % (23721)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (23721)Memory used [KB]: 5500
% 0.20/0.58 % (23721)Time elapsed: 0.089 s
% 0.20/0.58 % (23721)Instructions burned: 8 (million)
% 0.20/0.58 % (23721)------------------------------
% 0.20/0.58 % (23721)------------------------------
% 0.20/0.59 % (23727)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (23717)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)
% 0.20/0.59 TRYING [4]
% 0.20/0.60 % (23716)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)
% 2.02/0.60 % (23719)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)
% 2.02/0.61 % (23714)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)
% 2.02/0.61 TRYING [1]
% 2.02/0.61 TRYING [2]
% 2.02/0.61 TRYING [3]
% 2.02/0.61 % (23715)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)
% 2.02/0.61 % (23734)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)
% 2.02/0.62 % (23741)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)
% 2.02/0.62 % (23732)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.02/0.62 % (23730)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)
% 2.02/0.62 % (23742)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.02/0.62 % (23720)Instruction limit reached!
% 2.02/0.62 % (23720)------------------------------
% 2.02/0.62 % (23720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (23720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (23720)Termination reason: Unknown
% 2.02/0.62 % (23720)Termination phase: Finite model building constraint generation
% 2.02/0.62
% 2.02/0.62 % (23720)Memory used [KB]: 8187
% 2.02/0.62 % (23720)Time elapsed: 0.170 s
% 2.02/0.62 % (23720)Instructions burned: 51 (million)
% 2.02/0.62 % (23720)------------------------------
% 2.02/0.62 % (23720)------------------------------
% 2.02/0.62 % (23722)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.02/0.62 % (23743)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)
% 2.02/0.62 % (23722)Instruction limit reached!
% 2.02/0.62 % (23722)------------------------------
% 2.02/0.62 % (23722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (23722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (23722)Termination reason: Unknown
% 2.02/0.62 % (23722)Termination phase: Saturation
% 2.02/0.62
% 2.02/0.62 % (23722)Memory used [KB]: 5373
% 2.02/0.62 % (23722)Time elapsed: 0.205 s
% 2.02/0.62 % (23722)Instructions burned: 2 (million)
% 2.02/0.62 % (23722)------------------------------
% 2.02/0.62 % (23722)------------------------------
% 2.02/0.63 % (23733)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)
% 2.02/0.63 % (23738)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.18/0.63 % (23726)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.18/0.63 % (23740)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)
% 2.18/0.63 % (23723)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)
% 2.18/0.63 % (23717)First to succeed.
% 2.18/0.63 % (23718)Also succeeded, but the first one will report.
% 2.18/0.64 % (23717)Refutation found. Thanks to Tanya!
% 2.18/0.64 % SZS status Theorem for theBenchmark
% 2.18/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.64 % (23717)------------------------------
% 2.18/0.64 % (23717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64 % (23717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64 % (23717)Termination reason: Refutation
% 2.18/0.64
% 2.18/0.64 % (23717)Memory used [KB]: 5628
% 2.18/0.64 % (23717)Time elapsed: 0.217 s
% 2.18/0.64 % (23717)Instructions burned: 11 (million)
% 2.18/0.64 % (23717)------------------------------
% 2.18/0.64 % (23717)------------------------------
% 2.18/0.64 % (23713)Success in time 0.286 s
%------------------------------------------------------------------------------