TSTP Solution File: KLE064+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE064+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 : n032.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 13:11:50 EDT 2024
% Result : Theorem 15.61s 2.58s
% Output : Refutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 22 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134379,plain,
$false,
inference(subsumption_resolution,[],[f133729,f30]) ).
fof(f30,plain,
multiplication(domain(sK1),sK0) != addition(sK0,multiplication(domain(sK1),sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( multiplication(domain(sK1),sK0) != addition(sK0,multiplication(domain(sK1),sK0))
& domain(sK1) = addition(domain(sK0),domain(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( multiplication(domain(X1),X0) != addition(X0,multiplication(domain(X1),X0))
& domain(X1) = addition(domain(X0),domain(X1)) )
=> ( multiplication(domain(sK1),sK0) != addition(sK0,multiplication(domain(sK1),sK0))
& domain(sK1) = addition(domain(sK0),domain(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( multiplication(domain(X1),X0) != addition(X0,multiplication(domain(X1),X0))
& domain(X1) = addition(domain(X0),domain(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] :
( domain(X1) = addition(domain(X0),domain(X1))
=> multiplication(domain(X1),X0) = addition(X0,multiplication(domain(X1),X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] :
( domain(X4) = addition(domain(X3),domain(X4))
=> multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] :
( domain(X4) = addition(domain(X3),domain(X4))
=> multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f133729,plain,
multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)),
inference(superposition,[],[f25816,f29]) ).
fof(f29,plain,
domain(sK1) = addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f25816,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(domain(X0),X1),X0),
inference(superposition,[],[f46,f25603]) ).
fof(f25603,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f25602,f36]) ).
fof(f36,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(f25602,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f25496,f49]) ).
fof(f49,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f40,f38]) ).
fof(f38,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f40,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/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f25496,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f17999,f39]) ).
fof(f39,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f17999,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f46,f36]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KLE064+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 05:09:06 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (20104)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.29 % (20109)WARNING: value z3 for option sas not known
% 0.13/0.29 % (20109)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)
% 0.13/0.29 % (20108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.29 % (20107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.29 % (20112)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)
% 0.13/0.30 % (20113)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)
% 0.13/0.30 % (20111)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)
% 0.13/0.30 % (20110)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.30 TRYING [3]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 TRYING [4]
% 0.13/0.33 TRYING [1]
% 0.13/0.33 TRYING [2]
% 0.13/0.34 TRYING [3]
% 0.13/0.34 TRYING [4]
% 0.13/0.34 TRYING [5]
% 0.13/0.34 TRYING [4]
% 0.13/0.38 TRYING [5]
% 0.13/0.40 TRYING [6]
% 0.13/0.42 TRYING [5]
% 0.13/0.49 TRYING [6]
% 0.13/0.55 TRYING [7]
% 2.47/0.64 TRYING [6]
% 3.16/0.77 TRYING [7]
% 4.17/0.89 TRYING [8]
% 7.24/1.37 TRYING [8]
% 7.74/1.40 TRYING [7]
% 8.82/1.59 TRYING [9]
% 15.61/2.58 % (20113)First to succeed.
% 15.61/2.58 % (20113)Refutation found. Thanks to Tanya!
% 15.61/2.58 % SZS status Theorem for theBenchmark
% 15.61/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 15.61/2.58 % (20113)------------------------------
% 15.61/2.58 % (20113)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 15.61/2.58 % (20113)Termination reason: Refutation
% 15.61/2.58
% 15.61/2.58 % (20113)Memory used [KB]: 43144
% 15.61/2.58 % (20113)Time elapsed: 2.284 s
% 15.61/2.58 % (20113)Instructions burned: 8017 (million)
% 15.61/2.58 % (20113)------------------------------
% 15.61/2.58 % (20113)------------------------------
% 15.61/2.58 % (20104)Success in time 2.28 s
%------------------------------------------------------------------------------