TSTP Solution File: KLE114+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE114+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_uns --cores 0 -t %d %s
% Computer : n029.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 17:28:13 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 70 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 19 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 60 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(subsumption_resolution,[],[f146,f137]) ).
fof(f137,plain,
coantidomain(zero) = antidomain(zero),
inference(forward_demodulation,[],[f136,f102]) ).
fof(f102,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f67,f62]) ).
fof(f62,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(f67,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f31]) ).
fof(f31,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(f136,plain,
coantidomain(zero) = addition(zero,antidomain(zero)),
inference(superposition,[],[f120,f121]) ).
fof(f121,plain,
zero = antidomain(coantidomain(zero)),
inference(backward_demodulation,[],[f94,f116]) ).
fof(f116,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f110,f102]) ).
fof(f110,plain,
one = addition(zero,coantidomain(zero)),
inference(superposition,[],[f92,f98]) ).
fof(f98,plain,
zero = coantidomain(one),
inference(superposition,[],[f83,f71]) ).
fof(f71,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(f83,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f92,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(backward_demodulation,[],[f76,f67]) ).
fof(f76,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f94,plain,
zero = antidomain(one),
inference(superposition,[],[f77,f81]) ).
fof(f81,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) ).
fof(f77,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f120,plain,
! [X0] : coantidomain(zero) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(backward_demodulation,[],[f93,f116]) ).
fof(f93,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f63,f67]) ).
fof(f63,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f146,plain,
coantidomain(zero) != antidomain(zero),
inference(forward_demodulation,[],[f145,f121]) ).
fof(f145,plain,
coantidomain(zero) != antidomain(antidomain(coantidomain(zero))),
inference(forward_demodulation,[],[f144,f137]) ).
fof(f144,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f143,f121]) ).
fof(f143,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(coantidomain(zero))))),
inference(forward_demodulation,[],[f142,f137]) ).
fof(f142,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(zero))))),
inference(forward_demodulation,[],[f141,f80]) ).
fof(f80,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f141,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,zero)))))),
inference(forward_demodulation,[],[f140,f121]) ).
fof(f140,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(coantidomain(zero)))))))),
inference(forward_demodulation,[],[f139,f137]) ).
fof(f139,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero)))))))),
inference(forward_demodulation,[],[f138,f121]) ).
fof(f138,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(coantidomain(zero)))))))))) != coantidomain(zero),
inference(backward_demodulation,[],[f122,f137]) ).
fof(f122,plain,
coantidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))),
inference(backward_demodulation,[],[f96,f116]) ).
fof(f96,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))),
inference(backward_demodulation,[],[f91,f94]) ).
fof(f91,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(one))))))))))),
inference(definition_unfolding,[],[f69,f90]) ).
fof(f90,plain,
! [X0,X1] : antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))) = forward_box(X0,X1),
inference(definition_unfolding,[],[f74,f85,f89,f85]) ).
fof(f89,plain,
! [X0,X1] : antidomain(antidomain(multiplication(X1,antidomain(antidomain(X0))))) = forward_diamond(X1,X0),
inference(definition_unfolding,[],[f75,f73,f73]) ).
fof(f73,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f75,plain,
! [X0,X1] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X3] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f85,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = c(X0),
inference(definition_unfolding,[],[f64,f73]) ).
fof(f64,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] : c(X3) = antidomain(domain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f74,plain,
! [X0,X1] : c(forward_diamond(X0,c(X1))) = forward_box(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] : c(forward_diamond(X0,c(X1))) = forward_box(X0,X1),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] : forward_box(X1,X0) = c(forward_diamond(X1,c(X0))),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X3] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_box) ).
fof(f69,plain,
one != forward_box(sK0,one),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
one != forward_box(sK0,one),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f53]) ).
fof(f53,plain,
( ? [X0] : one != forward_box(X0,one)
=> one != forward_box(sK0,one) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] : one != forward_box(X0,one),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] : one = forward_box(X0,one),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3] : one = forward_box(X3,one),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3] : one = forward_box(X3,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 00:37:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.48 % (8627)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49 % (8624)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)
% 0.17/0.49 % (8622)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)
% 0.17/0.50 % (8624)Refutation not found, incomplete strategy% (8624)------------------------------
% 0.17/0.50 % (8624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (8624)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50 % (8624)Memory used [KB]: 6012
% 0.17/0.50 % (8624)Time elapsed: 0.111 s
% 0.17/0.50 % (8624)Instructions burned: 3 (million)
% 0.17/0.50 % (8624)------------------------------
% 0.17/0.50 % (8624)------------------------------
% 0.17/0.50 % (8623)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.50 % (8630)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)
% 0.17/0.50 % (8631)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 % (8630)Instruction limit reached!
% 0.17/0.50 % (8630)------------------------------
% 0.17/0.50 % (8630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8627)Instruction limit reached!
% 0.17/0.50 % (8627)------------------------------
% 0.17/0.50 % (8627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8643)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.50 % (8627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (8627)Termination reason: Unknown
% 0.17/0.50 % (8627)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (8627)Memory used [KB]: 6012
% 0.17/0.50 % (8627)Time elapsed: 0.115 s
% 0.17/0.50 % (8640)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)
% 0.17/0.50 % (8631)First to succeed.
% 0.17/0.50 % (8623)Refutation not found, incomplete strategy% (8623)------------------------------
% 0.17/0.50 % (8623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (8623)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50 % (8623)Memory used [KB]: 6012
% 0.17/0.50 % (8623)Time elapsed: 0.110 s
% 0.17/0.50 % (8623)Instructions burned: 2 (million)
% 0.17/0.50 % (8623)------------------------------
% 0.17/0.50 % (8623)------------------------------
% 0.17/0.50 % (8640)Refutation not found, incomplete strategy% (8640)------------------------------
% 0.17/0.50 % (8640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8632)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)
% 0.17/0.50 % (8640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8631)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (8631)------------------------------
% 0.17/0.51 % (8631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8631)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (8631)Memory used [KB]: 6012
% 0.17/0.51 % (8631)Time elapsed: 0.116 s
% 0.17/0.51 % (8631)Instructions burned: 5 (million)
% 0.17/0.51 % (8631)------------------------------
% 0.17/0.51 % (8631)------------------------------
% 0.17/0.51 % (8615)Success in time 0.17 s
%------------------------------------------------------------------------------