TSTP Solution File: KLE005+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE005+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 : n021.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 17:28:42 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 71 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 22 ~; 19 |; 4 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f74,f104]) ).
fof(f104,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f102]) ).
fof(f102,plain,
( zero != zero
| ~ spl2_2 ),
inference(superposition,[],[f55,f89]) ).
fof(f89,plain,
( zero = sF1
| ~ spl2_2 ),
inference(superposition,[],[f44,f87]) ).
fof(f87,plain,
( zero = multiplication(one,sF1)
| ~ spl2_2 ),
inference(resolution,[],[f38,f66]) ).
fof(f66,plain,
( complement(one,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl2_2
<=> complement(one,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f38,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( complement(X0,X1)
<=> ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( ( one = addition(X3,X4)
& zero = multiplication(X3,X4)
& zero = multiplication(X4,X3) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f44,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(f55,plain,
zero != sF1,
inference(definition_folding,[],[f35,f54]) ).
fof(f54,plain,
c(one) = sF1,
introduced(function_definition,[]) ).
fof(f35,plain,
zero != c(one),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
zero != c(one),
inference(flattening,[],[f18]) ).
fof(f18,negated_conjecture,
zero != c(one),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
zero = c(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f74,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl2_1 ),
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
( zero != zero
| spl2_1 ),
inference(superposition,[],[f55,f70]) ).
fof(f70,plain,
( zero = sF1
| spl2_1 ),
inference(superposition,[],[f54,f68]) ).
fof(f68,plain,
( zero = c(one)
| spl2_1 ),
inference(resolution,[],[f62,f45]) ).
fof(f45,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ~ test(X0)
=> zero = c(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( ~ test(X3)
=> zero = c(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_4) ).
fof(f62,plain,
( ~ test(one)
| spl2_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl2_1
<=> test(one) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f67,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f58,f64,f60]) ).
fof(f58,plain,
( complement(one,sF1)
| ~ test(one) ),
inference(superposition,[],[f53,f54]) ).
fof(f53,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ test(X1)
| c(X1) != X0
| complement(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( complement(X1,X0)
<=> c(X1) = X0 )
| ~ test(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X1)
=> ( complement(X1,X0)
<=> c(X1) = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE005+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_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:17:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 % (16902)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)
% 0.18/0.46 % (16925)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)
% 0.18/0.46 TRYING [1]
% 0.18/0.47 % (16909)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47 TRYING [2]
% 0.18/0.47 TRYING [3]
% 0.18/0.48 TRYING [4]
% 0.18/0.49 % (16909)Instruction limit reached!
% 0.18/0.49 % (16909)------------------------------
% 0.18/0.49 % (16909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (16921)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)
% 0.18/0.50 % (16909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (16909)Termination reason: Unknown
% 0.18/0.50 % (16909)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (16909)Memory used [KB]: 5500
% 0.18/0.50 % (16909)Time elapsed: 0.108 s
% 0.18/0.50 % (16909)Instructions burned: 7 (million)
% 0.18/0.50 % (16909)------------------------------
% 0.18/0.50 % (16909)------------------------------
% 0.18/0.50 % (16913)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)
% 0.18/0.50 % (16913)First to succeed.
% 0.18/0.50 % (16913)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (16913)------------------------------
% 0.18/0.50 % (16913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (16913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (16913)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (16913)Memory used [KB]: 5500
% 0.18/0.50 % (16913)Time elapsed: 0.103 s
% 0.18/0.50 % (16913)Instructions burned: 3 (million)
% 0.18/0.50 % (16913)------------------------------
% 0.18/0.50 % (16913)------------------------------
% 0.18/0.50 % (16897)Success in time 0.158 s
%------------------------------------------------------------------------------