TSTP Solution File: KLE138+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE138+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 : n027.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 17:28:22 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,plain,
$false,
inference(subsumption_resolution,[],[f108,f49]) ).
fof(f49,plain,
one != strong_iteration(zero),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
one != strong_iteration(zero),
inference(flattening,[],[f20]) ).
fof(f20,negated_conjecture,
one != strong_iteration(zero),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
one = strong_iteration(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f108,plain,
one = strong_iteration(zero),
inference(forward_demodulation,[],[f101,f65]) ).
fof(f65,plain,
! [X1] : addition(zero,X1) = X1,
inference(superposition,[],[f50,f54]) ).
fof(f54,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,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(f50,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(f101,plain,
strong_iteration(zero) = addition(zero,one),
inference(superposition,[],[f56,f52]) ).
fof(f52,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f56,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE138+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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:41:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (22861)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)
% 0.21/0.51 % (22874)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51 % (22866)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)
% 0.21/0.51 % (22851)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (22852)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (22859)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.51 % (22864)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (22861)First to succeed.
% 0.21/0.51 % (22854)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.51 % (22852)Refutation not found, incomplete strategy% (22852)------------------------------
% 0.21/0.51 % (22852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (22852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (22852)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (22852)Memory used [KB]: 5884
% 0.21/0.51 % (22852)Time elapsed: 0.117 s
% 0.21/0.51 % (22852)Instructions burned: 2 (million)
% 0.21/0.51 % (22852)------------------------------
% 0.21/0.51 % (22852)------------------------------
% 0.21/0.51 % (22854)Refutation not found, incomplete strategy% (22854)------------------------------
% 0.21/0.51 % (22854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (22854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (22854)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (22854)Memory used [KB]: 1407
% 0.21/0.51 % (22854)Time elapsed: 0.112 s
% 0.21/0.51 % (22854)Instructions burned: 2 (million)
% 0.21/0.51 % (22854)------------------------------
% 0.21/0.51 % (22854)------------------------------
% 0.21/0.52 % (22865)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)
% 0.21/0.52 % (22851)Refutation not found, incomplete strategy% (22851)------------------------------
% 0.21/0.52 % (22851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (22851)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (22851)Memory used [KB]: 5884
% 0.21/0.52 % (22851)Time elapsed: 0.112 s
% 0.21/0.52 % (22851)Instructions burned: 2 (million)
% 0.21/0.52 % (22851)------------------------------
% 0.21/0.52 % (22851)------------------------------
% 0.21/0.52 % (22861)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (22861)------------------------------
% 0.21/0.52 % (22861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (22861)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (22861)Memory used [KB]: 6012
% 0.21/0.52 % (22861)Time elapsed: 0.118 s
% 0.21/0.52 % (22861)Instructions burned: 3 (million)
% 0.21/0.52 % (22861)------------------------------
% 0.21/0.52 % (22861)------------------------------
% 0.21/0.52 % (22847)Success in time 0.167 s
%------------------------------------------------------------------------------