TSTP Solution File: KLE063+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE063+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Mon May 20 23:15:22 EDT 2024
% Result : Theorem 1.32s 0.54s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 49 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 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 : 73 ( 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4719,plain,
$false,
inference(subsumption_resolution,[],[f4718,f66]) ).
fof(f66,plain,
domain(sK1) != domain(addition(sK0,sK1)),
inference(superposition,[],[f30,f41]) ).
fof(f41,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f30,plain,
domain(sK1) != addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( domain(sK1) != addition(domain(sK0),domain(sK1))
& multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& multiplication(domain(X1),X0) = addition(X0,multiplication(domain(X1),X0)) )
=> ( domain(sK1) != addition(domain(sK0),domain(sK1))
& multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& multiplication(domain(X1),X0) = addition(X0,multiplication(domain(X1),X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] :
( multiplication(domain(X1),X0) = addition(X0,multiplication(domain(X1),X0))
=> domain(X1) = addition(domain(X0),domain(X1)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] :
( multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3))
=> domain(X4) = addition(domain(X3),domain(X4)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] :
( multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3))
=> domain(X4) = addition(domain(X3),domain(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f4718,plain,
domain(sK1) = domain(addition(sK0,sK1)),
inference(forward_demodulation,[],[f4677,f40]) ).
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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f4677,plain,
domain(sK1) = domain(addition(sK1,sK0)),
inference(superposition,[],[f4676,f109]) ).
fof(f109,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,domain(X0))),
inference(forward_demodulation,[],[f94,f41]) ).
fof(f94,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X1,domain(X0))),
inference(superposition,[],[f64,f80]) ).
fof(f80,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f74,f36]) ).
fof(f36,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(f74,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f42,f36]) ).
fof(f42,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f64,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(superposition,[],[f41,f40]) ).
fof(f4676,plain,
domain(sK1) = domain(addition(sK0,domain(sK1))),
inference(forward_demodulation,[],[f4675,f80]) ).
fof(f4675,plain,
domain(domain(sK1)) = domain(addition(sK0,domain(sK1))),
inference(forward_demodulation,[],[f4670,f40]) ).
fof(f4670,plain,
domain(domain(sK1)) = domain(addition(domain(sK1),sK0)),
inference(superposition,[],[f3746,f4584]) ).
fof(f4584,plain,
sK0 = multiplication(domain(sK1),sK0),
inference(superposition,[],[f4463,f29]) ).
fof(f29,plain,
multiplication(domain(sK1),sK0) = addition(sK0,multiplication(domain(sK1),sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f4463,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f4391,f36]) ).
fof(f4391,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(domain(X0),X1)),
inference(superposition,[],[f1142,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/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f1142,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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f3746,plain,
! [X0,X1] : domain(X0) = domain(addition(X0,multiplication(X0,X1))),
inference(superposition,[],[f179,f498]) ).
fof(f498,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f45,f35]) ).
fof(f35,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(f45,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(f179,plain,
! [X0,X1] : domain(X1) = domain(multiplication(X1,addition(one,X0))),
inference(forward_demodulation,[],[f168,f35]) ).
fof(f168,plain,
! [X0,X1] : domain(multiplication(X1,one)) = domain(multiplication(X1,addition(one,X0))),
inference(superposition,[],[f42,f131]) ).
fof(f131,plain,
! [X0] : one = domain(addition(one,X0)),
inference(forward_demodulation,[],[f123,f49]) ).
fof(f123,plain,
! [X0] : addition(one,domain(X0)) = domain(addition(one,X0)),
inference(superposition,[],[f41,f119]) ).
fof(f119,plain,
one = domain(one),
inference(forward_demodulation,[],[f118,f49]) ).
fof(f118,plain,
domain(one) = addition(one,domain(one)),
inference(superposition,[],[f39,f35]) ).
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/sandbox/benchmark/theBenchmark.p',domain1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE063+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n011.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 : Sun May 19 09:48:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18383)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18391)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 % (18388)WARNING: value z3 for option sas not known
% 0.14/0.37 % (18386)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (18388)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 % (18389)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (18390)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 % (18387)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 % (18392)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 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.44 TRYING [5]
% 0.21/0.46 TRYING [4]
% 1.32/0.53 % (18388)First to succeed.
% 1.32/0.53 % (18388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18383"
% 1.32/0.54 % (18388)Refutation found. Thanks to Tanya!
% 1.32/0.54 % SZS status Theorem for theBenchmark
% 1.32/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.54 % (18388)------------------------------
% 1.32/0.54 % (18388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.54 % (18388)Termination reason: Refutation
% 1.32/0.54
% 1.32/0.54 % (18388)Memory used [KB]: 1932
% 1.32/0.54 % (18388)Time elapsed: 0.169 s
% 1.32/0.54 % (18388)Instructions burned: 224 (million)
% 1.32/0.54 % (18383)Success in time 0.173 s
%------------------------------------------------------------------------------