TSTP Solution File: KLE035+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE035+2 : 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_uns --cores 0 -t %d %s
% Computer : n023.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 17:27:48 EDT 2022
% Result : Theorem 1.61s 0.59s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 32 unt; 0 def)
% Number of atoms : 63 ( 25 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 38 ( 15 ~; 2 |; 17 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f752,plain,
$false,
inference(subsumption_resolution,[],[f751,f46]) ).
fof(f46,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f751,plain,
zero != addition(zero,zero),
inference(forward_demodulation,[],[f727,f51]) ).
fof(f51,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',additive_idempotence) ).
fof(f727,plain,
zero != addition(addition(zero,zero),zero),
inference(backward_demodulation,[],[f612,f392]) ).
fof(f392,plain,
zero = multiplication(sK2,multiplication(sK4,c(sK1))),
inference(superposition,[],[f162,f46]) ).
fof(f162,plain,
zero = addition(multiplication(sK2,multiplication(sK4,c(sK1))),zero),
inference(unit_resulting_resolution,[],[f74,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f74,plain,
leq(multiplication(sK2,multiplication(sK4,c(sK1))),zero),
inference(forward_demodulation,[],[f60,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X2),X1) = multiplication(X0,multiplication(X2,X1)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X2,X0] : 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(f60,plain,
leq(multiplication(multiplication(sK2,sK4),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X1,X2,X3,X0] :
( ~ leq(multiplication(multiplication(X2,addition(X0,X3)),c(X1)),zero)
& test(X1)
& test(X2)
& leq(multiplication(multiplication(X2,X3),c(X1)),zero)
& leq(multiplication(multiplication(X2,X0),c(X1)),zero) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X3,X2,X1,X0] :
( ~ leq(multiplication(multiplication(X2,addition(X0,X3)),c(X1)),zero)
& leq(multiplication(multiplication(X2,X0),c(X1)),zero)
& leq(multiplication(multiplication(X2,X3),c(X1)),zero)
& test(X2)
& test(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X3,X2,X1,X0] :
( ( leq(multiplication(multiplication(X2,X0),c(X1)),zero)
& leq(multiplication(multiplication(X2,X3),c(X1)),zero)
& test(X2)
& test(X1) )
=> leq(multiplication(multiplication(X2,addition(X0,X3)),c(X1)),zero) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X6,X5,X4] :
( ( test(X6)
& leq(multiplication(multiplication(X5,X4),c(X6)),zero)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& test(X5) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X6,X5,X4] :
( ( test(X6)
& leq(multiplication(multiplication(X5,X4),c(X6)),zero)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& test(X5) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f612,plain,
zero != addition(addition(zero,multiplication(sK2,multiplication(sK4,c(sK1)))),zero),
inference(backward_demodulation,[],[f164,f376]) ).
fof(f376,plain,
zero = multiplication(sK2,multiplication(sK3,c(sK1))),
inference(superposition,[],[f105,f46]) ).
fof(f105,plain,
zero = addition(multiplication(sK2,multiplication(sK3,c(sK1))),zero),
inference(unit_resulting_resolution,[],[f69,f42]) ).
fof(f69,plain,
leq(multiplication(sK2,multiplication(sK3,c(sK1))),zero),
inference(forward_demodulation,[],[f61,f40]) ).
fof(f61,plain,
leq(multiplication(multiplication(sK2,sK3),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f164,plain,
zero != addition(addition(multiplication(sK2,multiplication(sK3,c(sK1))),multiplication(sK2,multiplication(sK4,c(sK1)))),zero),
inference(unit_resulting_resolution,[],[f73,f41]) ).
fof(f41,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f73,plain,
~ leq(addition(multiplication(sK2,multiplication(sK3,c(sK1))),multiplication(sK2,multiplication(sK4,c(sK1)))),zero),
inference(forward_demodulation,[],[f72,f65]) ).
fof(f65,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f72,plain,
~ leq(addition(multiplication(sK2,multiplication(sK4,c(sK1))),multiplication(sK2,multiplication(sK3,c(sK1)))),zero),
inference(forward_demodulation,[],[f71,f56]) ).
fof(f56,plain,
! [X2,X0,X1] : multiplication(X2,addition(X1,X0)) = addition(multiplication(X2,X1),multiplication(X2,X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X2,X1] : multiplication(X2,addition(X1,X0)) = addition(multiplication(X2,X1),multiplication(X2,X0)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f71,plain,
~ leq(multiplication(sK2,addition(multiplication(sK4,c(sK1)),multiplication(sK3,c(sK1)))),zero),
inference(forward_demodulation,[],[f70,f57]) ).
fof(f57,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f70,plain,
~ leq(multiplication(sK2,multiplication(addition(sK4,sK3),c(sK1))),zero),
inference(forward_demodulation,[],[f64,f40]) ).
fof(f64,plain,
~ leq(multiplication(multiplication(sK2,addition(sK4,sK3)),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE035+2 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 00:44:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (23739)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54 % (23745)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.55 % (23737)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.32/0.55 % (23747)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.55 % (23755)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.56 % (23745)Instruction limit reached!
% 1.32/0.56 % (23745)------------------------------
% 1.32/0.56 % (23745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.56 % (23753)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.32/0.56 % (23755)Refutation not found, incomplete strategy% (23755)------------------------------
% 1.32/0.56 % (23755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (23755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (23755)Termination reason: Refutation not found, incomplete strategy
% 1.61/0.56
% 1.61/0.56 % (23755)Memory used [KB]: 6012
% 1.61/0.56 % (23755)Time elapsed: 0.125 s
% 1.61/0.56 % (23755)Instructions burned: 5 (million)
% 1.61/0.56 % (23755)------------------------------
% 1.61/0.56 % (23755)------------------------------
% 1.61/0.57 % (23745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (23745)Termination reason: Unknown
% 1.61/0.57 % (23745)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (23745)Memory used [KB]: 5884
% 1.61/0.57 % (23745)Time elapsed: 0.140 s
% 1.61/0.57 % (23745)Instructions burned: 4 (million)
% 1.61/0.57 % (23745)------------------------------
% 1.61/0.57 % (23745)------------------------------
% 1.61/0.59 % (23731)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.61/0.59 % (23739)First to succeed.
% 1.61/0.59 % (23750)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.61/0.59 % (23739)Refutation found. Thanks to Tanya!
% 1.61/0.59 % SZS status Theorem for theBenchmark
% 1.61/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.60 % (23739)------------------------------
% 1.61/0.60 % (23739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.60 % (23739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.60 % (23739)Termination reason: Refutation
% 1.61/0.60
% 1.61/0.60 % (23739)Memory used [KB]: 6396
% 1.61/0.60 % (23739)Time elapsed: 0.150 s
% 1.61/0.60 % (23739)Instructions burned: 27 (million)
% 1.61/0.60 % (23739)------------------------------
% 1.61/0.60 % (23739)------------------------------
% 1.61/0.60 % (23730)Success in time 0.24 s
%------------------------------------------------------------------------------