TSTP Solution File: KLE088+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE088+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 : 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 : Sun May 5 07:17:15 EDT 2024
% Result : Theorem 1.83s 0.63s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 61 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7488,plain,
$false,
inference(trivial_inequality_removal,[],[f7477]) ).
fof(f7477,plain,
antidomain(sK1) != antidomain(sK1),
inference(superposition,[],[f70,f7411]) ).
fof(f7411,plain,
antidomain(sK1) = addition(antidomain(sK1),domain(sK0)),
inference(forward_demodulation,[],[f7410,f42]) ).
fof(f42,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(f7410,plain,
addition(antidomain(sK1),domain(sK0)) = multiplication(one,antidomain(sK1)),
inference(forward_demodulation,[],[f7245,f234]) ).
fof(f234,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f211,f50]) ).
fof(f50,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(f211,plain,
! [X0] : one = addition(domain(X0),one),
inference(superposition,[],[f161,f57]) ).
fof(f57,plain,
! [X0] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f49,f47]) ).
fof(f47,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f49,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f161,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f53,f43]) ).
fof(f43,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(f53,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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(f7245,plain,
addition(antidomain(sK1),domain(sK0)) = multiplication(addition(one,domain(sK0)),antidomain(sK1)),
inference(superposition,[],[f696,f6025]) ).
fof(f6025,plain,
domain(sK0) = multiplication(domain(sK0),antidomain(sK1)),
inference(forward_demodulation,[],[f5998,f41]) ).
fof(f41,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(f5998,plain,
multiplication(domain(sK0),one) = multiplication(domain(sK0),antidomain(sK1)),
inference(superposition,[],[f1116,f57]) ).
fof(f1116,plain,
! [X0] : multiplication(domain(sK0),X0) = multiplication(domain(sK0),addition(domain(sK1),X0)),
inference(forward_demodulation,[],[f1104,f68]) ).
fof(f68,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f50,f40]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f1104,plain,
! [X0] : addition(zero,multiplication(domain(sK0),X0)) = multiplication(domain(sK0),addition(domain(sK1),X0)),
inference(superposition,[],[f55,f1073]) ).
fof(f1073,plain,
zero = multiplication(domain(sK0),domain(sK1)),
inference(superposition,[],[f1040,f42]) ).
fof(f1040,plain,
zero = multiplication(one,multiplication(domain(sK0),domain(sK1))),
inference(superposition,[],[f45,f1031]) ).
fof(f1031,plain,
one = antidomain(multiplication(domain(sK0),domain(sK1))),
inference(forward_demodulation,[],[f1030,f225]) ).
fof(f225,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(superposition,[],[f209,f50]) ).
fof(f209,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f161,f81]) ).
fof(f81,plain,
! [X0] : one = addition(antidomain(X0),domain(X0)),
inference(superposition,[],[f57,f50]) ).
fof(f1030,plain,
antidomain(multiplication(domain(sK0),domain(sK1))) = addition(one,antidomain(multiplication(domain(sK0),domain(sK1)))),
inference(forward_demodulation,[],[f984,f88]) ).
fof(f88,plain,
one = antidomain(zero),
inference(superposition,[],[f85,f40]) ).
fof(f85,plain,
one = addition(antidomain(zero),zero),
inference(forward_demodulation,[],[f78,f62]) ).
fof(f62,plain,
zero = antidomain(one),
inference(superposition,[],[f45,f41]) ).
fof(f78,plain,
one = addition(antidomain(zero),antidomain(one)),
inference(superposition,[],[f57,f65]) ).
fof(f65,plain,
antidomain(zero) = domain(one),
inference(superposition,[],[f47,f62]) ).
fof(f984,plain,
antidomain(multiplication(domain(sK0),domain(sK1))) = addition(antidomain(zero),antidomain(multiplication(domain(sK0),domain(sK1)))),
inference(superposition,[],[f58,f36]) ).
fof(f36,plain,
zero = multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( antidomain(sK1) != addition(domain(sK0),antidomain(sK1))
& zero = multiplication(domain(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( antidomain(X1) != addition(domain(X0),antidomain(X1))
& zero = multiplication(domain(X0),X1) )
=> ( antidomain(sK1) != addition(domain(sK0),antidomain(sK1))
& zero = multiplication(domain(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] :
( antidomain(X1) != addition(domain(X0),antidomain(X1))
& zero = multiplication(domain(X0),X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( zero = multiplication(domain(X0),X1)
=> antidomain(X1) = addition(domain(X0),antidomain(X1)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3,X4] :
( zero = multiplication(domain(X3),X4)
=> antidomain(X4) = addition(domain(X3),antidomain(X4)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3,X4] :
( zero = multiplication(domain(X3),X4)
=> antidomain(X4) = addition(domain(X3),antidomain(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f58,plain,
! [X0,X1] : antidomain(multiplication(X0,domain(X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(forward_demodulation,[],[f52,f47]) ).
fof(f52,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f45,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f55,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(f696,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f56,f42]) ).
fof(f56,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(f70,plain,
antidomain(sK1) != addition(antidomain(sK1),domain(sK0)),
inference(superposition,[],[f37,f50]) ).
fof(f37,plain,
antidomain(sK1) != addition(domain(sK0),antidomain(sK1)),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE088+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:20:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (18882)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (18885)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18883)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (18885)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)
% 0.14/0.38 % (18886)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (18887)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)
% 0.14/0.38 % (18888)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)
% 0.14/0.38 % (18884)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (18889)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 TRYING [5]
% 1.66/0.60 TRYING [5]
% 1.83/0.62 TRYING [6]
% 1.83/0.62 % (18888)First to succeed.
% 1.83/0.63 % (18888)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18882"
% 1.83/0.63 % (18888)Refutation found. Thanks to Tanya!
% 1.83/0.63 % SZS status Theorem for theBenchmark
% 1.83/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.63 % (18888)------------------------------
% 1.83/0.63 % (18888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.83/0.63 % (18888)Termination reason: Refutation
% 1.83/0.63
% 1.83/0.63 % (18888)Memory used [KB]: 3774
% 1.83/0.63 % (18888)Time elapsed: 0.246 s
% 1.83/0.63 % (18888)Instructions burned: 400 (million)
% 1.83/0.63 % (18882)Success in time 0.246 s
%------------------------------------------------------------------------------