TSTP Solution File: KLE048+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE048+1 : 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 : n007.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 13:11:47 EDT 2024
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 41 unt; 0 def)
% Number of atoms : 119 ( 59 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 82 ( 30 ~; 23 |; 18 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 83 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12674,plain,
$false,
inference(subsumption_resolution,[],[f12673,f45]) ).
fof(f45,plain,
one != star(sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( one != star(sK0)
& test(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f34]) ).
fof(f34,plain,
( ? [X0] :
( one != star(X0)
& test(X0) )
=> ( one != star(sK0)
& test(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
( one != star(X0)
& test(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] :
( test(X0)
=> one = star(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] :
( test(X3)
=> one = star(X3) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] :
( test(X3)
=> one = star(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f12673,plain,
one = star(sK0),
inference(forward_demodulation,[],[f12671,f10829]) ).
fof(f10829,plain,
one = addition(one,star(sK0)),
inference(superposition,[],[f10826,f57]) ).
fof(f57,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f10826,plain,
one = addition(star(sK0),one),
inference(unit_resulting_resolution,[],[f10825,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f10825,plain,
leq(star(sK0),one),
inference(superposition,[],[f10804,f50]) ).
fof(f50,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f10804,plain,
! [X0] : leq(multiplication(X0,star(sK0)),X0),
inference(subsumption_resolution,[],[f10768,f156]) ).
fof(f156,plain,
! [X0] : leq(X0,X0),
inference(unit_resulting_resolution,[],[f51,f65]) ).
fof(f65,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f51,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f10768,plain,
! [X0] :
( ~ leq(X0,X0)
| leq(multiplication(X0,star(sK0)),X0) ),
inference(superposition,[],[f70,f5624]) ).
fof(f5624,plain,
! [X0] : addition(multiplication(X0,sK0),X0) = X0,
inference(unit_resulting_resolution,[],[f5616,f64]) ).
fof(f5616,plain,
! [X0] : leq(multiplication(X0,sK0),X0),
inference(forward_demodulation,[],[f5592,f49]) ).
fof(f49,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f5592,plain,
! [X0] : leq(multiplication(X0,sK0),multiplication(X0,one)),
inference(superposition,[],[f3703,f319]) ).
fof(f319,plain,
one = addition(sK0,one),
inference(superposition,[],[f282,f135]) ).
fof(f135,plain,
one = addition(sK0,sK1(sK0)),
inference(unit_resulting_resolution,[],[f73,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,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,[],[f41]) ).
fof(f41,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,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f73,plain,
complement(sK1(sK0),sK0),
inference(unit_resulting_resolution,[],[f44,f55]) ).
fof(f55,plain,
! [X0] :
( ~ test(X0)
| complement(sK1(X0),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK1(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f37,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1) ).
fof(f44,plain,
test(sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f282,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f66,f51]) ).
fof(f66,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3703,plain,
! [X2,X0,X1] : leq(multiplication(X0,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f306,f68]) ).
fof(f68,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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f306,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(unit_resulting_resolution,[],[f282,f65]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f12671,plain,
star(sK0) = addition(one,star(sK0)),
inference(unit_resulting_resolution,[],[f12540,f64]) ).
fof(f12540,plain,
leq(one,star(sK0)),
inference(superposition,[],[f52,f11936]) ).
fof(f11936,plain,
one = addition(one,multiplication(sK0,star(sK0))),
inference(forward_demodulation,[],[f11857,f332]) ).
fof(f332,plain,
one = addition(one,sK0),
inference(superposition,[],[f319,f57]) ).
fof(f11857,plain,
addition(one,sK0) = addition(one,multiplication(sK0,star(sK0))),
inference(superposition,[],[f1059,f10821]) ).
fof(f10821,plain,
! [X0] : addition(multiplication(X0,star(sK0)),X0) = X0,
inference(unit_resulting_resolution,[],[f10804,f64]) ).
fof(f1059,plain,
! [X0] : addition(one,X0) = addition(one,addition(X0,sK0)),
inference(superposition,[],[f346,f57]) ).
fof(f346,plain,
! [X0] : addition(one,X0) = addition(one,addition(sK0,X0)),
inference(superposition,[],[f66,f332]) ).
fof(f52,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:54:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (10196)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (10200)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (10199)WARNING: value z3 for option sas not known
% 0.14/0.37 % (10197)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (10198)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (10201)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)
% 0.14/0.37 % (10203)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)
% 0.14/0.37 % (10199)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)
% 0.14/0.37 % (10202)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)
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.14/0.40 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 TRYING [6]
% 0.20/0.57 % (10203)First to succeed.
% 0.20/0.57 % (10203)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (10203)------------------------------
% 0.20/0.57 % (10203)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.57 % (10203)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (10203)Memory used [KB]: 2792
% 0.20/0.57 % (10203)Time elapsed: 0.201 s
% 0.20/0.57 % (10203)Instructions burned: 303 (million)
% 0.20/0.57 % (10203)------------------------------
% 0.20/0.57 % (10203)------------------------------
% 0.20/0.57 % (10196)Success in time 0.203 s
%------------------------------------------------------------------------------