TSTP Solution File: KLE024+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE024+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 13:11:42 EDT 2024
% Result : Theorem 3.24s 0.80s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 21 unt; 0 def)
% Number of atoms : 98 ( 59 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 84 ( 25 ~; 16 |; 29 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 61 ( 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23699,plain,
$false,
inference(subsumption_resolution,[],[f23698,f1859]) ).
fof(f1859,plain,
zero != multiplication(sK1,multiplication(sK0,c(sK2))),
inference(superposition,[],[f49,f69]) ).
fof(f69,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f49,plain,
zero != multiplication(multiplication(sK1,sK0),c(sK2)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( zero != multiplication(multiplication(sK1,sK0),c(sK2))
& multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0))
& test(sK2)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f30,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& multiplication(c(X1),X0) = addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
& test(X2)
& test(X1) )
=> ( zero != multiplication(multiplication(sK1,sK0),c(sK2))
& multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0))
& test(sK2)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& multiplication(c(X1),X0) = addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
& test(X2)
& test(X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& multiplication(c(X1),X0) = addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
& test(X2)
& test(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1) )
=> ( multiplication(c(X1),X0) = addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
=> zero = multiplication(multiplication(X1,X0),c(X2)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( multiplication(c(X4),X3) = addition(multiplication(X3,c(X5)),multiplication(c(X4),X3))
=> zero = multiplication(multiplication(X4,X3),c(X5)) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( multiplication(c(X4),X3) = addition(multiplication(X3,c(X5)),multiplication(c(X4),X3))
=> zero = multiplication(multiplication(X4,X3),c(X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f23698,plain,
zero = multiplication(sK1,multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f23669,f1889]) ).
fof(f1889,plain,
! [X0] : zero = multiplication(sK1,multiplication(c(sK1),X0)),
inference(forward_demodulation,[],[f1844,f51]) ).
fof(f51,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f1844,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(c(sK1),X0)),
inference(superposition,[],[f69,f168]) ).
fof(f168,plain,
zero = multiplication(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f82,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f82,plain,
complement(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f46,f72]) ).
fof(f72,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f46,plain,
test(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f23669,plain,
multiplication(sK1,multiplication(sK0,c(sK2))) = multiplication(sK1,multiplication(c(sK1),sK0)),
inference(superposition,[],[f8321,f48]) ).
fof(f48,plain,
multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0)),
inference(cnf_transformation,[],[f38]) ).
fof(f8321,plain,
! [X0,X1] : multiplication(sK1,X1) = multiplication(sK1,addition(X1,multiplication(c(sK1),X0))),
inference(forward_demodulation,[],[f8188,f52]) ).
fof(f52,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(f8188,plain,
! [X0,X1] : addition(multiplication(sK1,X1),zero) = multiplication(sK1,addition(X1,multiplication(c(sK1),X0))),
inference(superposition,[],[f70,f1889]) ).
fof(f70,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KLE024+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n026.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 05:23:49 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (3717)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36 % (3720)WARNING: value z3 for option sas not known
% 0.11/0.36 % (3720)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (3719)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36 % (3724)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.36 % (3721)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36 % (3723)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.36 % (3722)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 % (3718)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36 TRYING [3]
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [2]
% 0.11/0.37 TRYING [4]
% 0.11/0.39 TRYING [3]
% 0.11/0.40 TRYING [5]
% 0.18/0.43 TRYING [4]
% 0.18/0.49 TRYING [6]
% 0.18/0.53 TRYING [5]
% 2.10/0.70 TRYING [7]
% 3.24/0.80 % (3724)First to succeed.
% 3.24/0.80 % (3724)Refutation found. Thanks to Tanya!
% 3.24/0.80 % SZS status Theorem for theBenchmark
% 3.24/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 3.24/0.80 % (3724)------------------------------
% 3.24/0.80 % (3724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.24/0.80 % (3724)Termination reason: Refutation
% 3.24/0.80
% 3.24/0.80 % (3724)Memory used [KB]: 5755
% 3.24/0.80 % (3724)Time elapsed: 0.440 s
% 3.24/0.80 % (3724)Instructions burned: 1066 (million)
% 3.24/0.80 % (3724)------------------------------
% 3.24/0.80 % (3724)------------------------------
% 3.24/0.80 % (3717)Success in time 0.45 s
%------------------------------------------------------------------------------