TSTP Solution File: KLE128+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE128+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 : n005.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 07:17:20 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 47 unt; 0 def)
% Number of atoms : 82 ( 81 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 36 ( 13 ~; 3 |; 10 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2478,plain,
$false,
inference(trivial_inequality_removal,[],[f2456]) ).
fof(f2456,plain,
zero != zero,
inference(superposition,[],[f56,f2431]) ).
fof(f2431,plain,
zero = domain(sK1),
inference(superposition,[],[f2428,f59]) ).
fof(f59,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(f2428,plain,
zero = addition(domain(sK1),zero),
inference(forward_demodulation,[],[f2420,f176]) ).
fof(f176,plain,
! [X0] : zero = forward_diamond(X0,zero),
inference(forward_demodulation,[],[f175,f125]) ).
fof(f125,plain,
zero = domain(zero),
inference(forward_demodulation,[],[f119,f89]) ).
fof(f89,plain,
zero = antidomain(one),
inference(superposition,[],[f64,f60]) ).
fof(f60,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(f64,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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(f119,plain,
antidomain(one) = domain(zero),
inference(backward_demodulation,[],[f95,f112]) ).
fof(f112,plain,
one = domain(one),
inference(superposition,[],[f109,f59]) ).
fof(f109,plain,
one = addition(domain(one),zero),
inference(superposition,[],[f84,f89]) ).
fof(f84,plain,
! [X0] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f70,f67]) ).
fof(f67,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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(f70,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,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(f95,plain,
domain(zero) = antidomain(domain(one)),
inference(superposition,[],[f67,f92]) ).
fof(f92,plain,
antidomain(zero) = domain(one),
inference(superposition,[],[f67,f89]) ).
fof(f175,plain,
! [X0] : domain(zero) = forward_diamond(X0,zero),
inference(forward_demodulation,[],[f166,f57]) ).
fof(f57,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f166,plain,
! [X0] : forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(superposition,[],[f76,f125]) ).
fof(f76,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f2420,plain,
forward_diamond(star(sK0),zero) = addition(domain(sK1),forward_diamond(star(sK0),zero)),
inference(superposition,[],[f2293,f125]) ).
fof(f2293,plain,
! [X0] : forward_diamond(star(sK0),domain(X0)) = addition(domain(sK1),forward_diamond(star(sK0),domain(X0))),
inference(forward_demodulation,[],[f2292,f100]) ).
fof(f100,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f71,f59]) ).
fof(f71,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(f2292,plain,
! [X0] : addition(zero,forward_diamond(star(sK0),domain(X0))) = addition(domain(sK1),addition(zero,forward_diamond(star(sK0),domain(X0)))),
inference(forward_demodulation,[],[f2291,f54]) ).
fof(f54,plain,
zero = divergence(sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( zero != domain(sK1)
& forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
& zero = divergence(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f52,f51]) ).
fof(f51,plain,
( ? [X0] :
( ? [X1] :
( zero != domain(X1)
& forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
& zero = divergence(X0) )
=> ( ? [X1] :
( zero != domain(X1)
& forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
& zero = divergence(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X1] :
( zero != domain(X1)
& forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
=> ( zero != domain(sK1)
& forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( zero != domain(X1)
& forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
& zero = divergence(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0] :
( zero = divergence(X0)
=> ! [X1] :
( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
=> zero = domain(X1) ) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( zero = divergence(X3)
=> ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X3] :
( zero = divergence(X3)
=> ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f2291,plain,
! [X0] : addition(divergence(sK0),forward_diamond(star(sK0),domain(X0))) = addition(domain(sK1),addition(divergence(sK0),forward_diamond(star(sK0),domain(X0)))),
inference(trivial_inequality_removal,[],[f2287]) ).
fof(f2287,plain,
! [X0] :
( addition(forward_diamond(sK0,domain(sK1)),domain(X0)) != addition(forward_diamond(sK0,domain(sK1)),domain(X0))
| addition(divergence(sK0),forward_diamond(star(sK0),domain(X0))) = addition(domain(sK1),addition(divergence(sK0),forward_diamond(star(sK0),domain(X0)))) ),
inference(superposition,[],[f83,f227]) ).
fof(f227,plain,
! [X0] : addition(forward_diamond(sK0,domain(sK1)),X0) = addition(domain(sK1),addition(forward_diamond(sK0,domain(sK1)),X0)),
inference(superposition,[],[f79,f55]) ).
fof(f55,plain,
forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
inference(cnf_transformation,[],[f53]) ).
fof(f79,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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(f83,plain,
! [X2,X0,X1] :
( addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
| addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
=> addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3,X4,X5] :
( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
=> addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence2) ).
fof(f56,plain,
zero != domain(sK1),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KLE128+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 21:22:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (5200)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (5203)WARNING: value z3 for option sas not known
% 0.12/0.36 % (5205)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)
% 0.12/0.36 % (5202)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37 % (5204)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (5206)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)
% 0.12/0.37 % (5207)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)
% 0.12/0.37 % (5203)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)
% 0.12/0.37 % (5201)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.40 TRYING [4]
% 0.19/0.41 TRYING [3]
% 0.19/0.42 % (5206)First to succeed.
% 0.19/0.42 % (5206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5200"
% 0.19/0.42 % (5206)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (5206)------------------------------
% 0.19/0.42 % (5206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.42 % (5206)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (5206)Memory used [KB]: 1759
% 0.19/0.42 % (5206)Time elapsed: 0.054 s
% 0.19/0.42 % (5206)Instructions burned: 105 (million)
% 0.19/0.42 % (5200)Success in time 0.071 s
%------------------------------------------------------------------------------