TSTP Solution File: KLE055+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE055+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 : n019.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 07:17:10 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 37 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4601,plain,
$false,
inference(subsumption_resolution,[],[f4591,f30]) ).
fof(f30,plain,
domain(sK0) != addition(sK0,domain(sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( domain(sK0) != addition(sK0,domain(sK0))
& one = addition(sK0,one) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f27,plain,
( ? [X0] :
( domain(X0) != addition(X0,domain(X0))
& one = addition(X0,one) )
=> ( domain(sK0) != addition(sK0,domain(sK0))
& one = addition(sK0,one) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( domain(X0) != addition(X0,domain(X0))
& one = addition(X0,one) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0] :
( one = addition(X0,one)
=> domain(X0) = addition(X0,domain(X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] :
( one = addition(X3,one)
=> domain(X3) = addition(X3,domain(X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] :
( one = addition(X3,one)
=> domain(X3) = addition(X3,domain(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f4591,plain,
domain(sK0) = addition(sK0,domain(sK0)),
inference(superposition,[],[f3850,f4378]) ).
fof(f4378,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f4377,f35]) ).
fof(f35,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(f4377,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f4321,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(f4321,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f769,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(f769,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f46,f35]) ).
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) ).
fof(f3850,plain,
! [X0] : addition(multiplication(X0,sK0),X0) = X0,
inference(superposition,[],[f986,f3811]) ).
fof(f3811,plain,
! [X0] : addition(X0,multiplication(X0,sK0)) = X0,
inference(forward_demodulation,[],[f3758,f34]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f3758,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK0)),
inference(superposition,[],[f641,f50]) ).
fof(f50,plain,
one = addition(one,sK0),
inference(superposition,[],[f40,f29]) ).
fof(f29,plain,
one = addition(sK0,one),
inference(cnf_transformation,[],[f28]) ).
fof(f641,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f45,f34]) ).
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/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f986,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f559,f40]) ).
fof(f559,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f44,f37]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f44,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE055+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
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:21:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31478)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (31479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (31485)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)
% 0.13/0.38 % (31481)WARNING: value z3 for option sas not known
% 0.13/0.38 % (31480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (31482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (31483)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)
% 0.13/0.38 % (31481)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)
% 0.13/0.38 % (31484)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [3]
% 0.13/0.40 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.45 TRYING [4]
% 0.21/0.48 TRYING [6]
% 0.21/0.50 % (31481)First to succeed.
% 0.21/0.50 % (31481)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31478"
% 0.21/0.50 % (31481)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (31481)------------------------------
% 0.21/0.50 % (31481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50 % (31481)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (31481)Memory used [KB]: 1965
% 0.21/0.50 % (31481)Time elapsed: 0.120 s
% 0.21/0.50 % (31481)Instructions burned: 220 (million)
% 0.21/0.50 % (31478)Success in time 0.148 s
%------------------------------------------------------------------------------