TSTP Solution File: KLE069+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE069+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 : Tue Apr 30 13:11:51 EDT 2024
% Result : Theorem 50.42s 7.56s
% Output : Refutation 50.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 45 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 70 ( 66 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172312,plain,
$false,
inference(trivial_inequality_removal,[],[f172247]) ).
fof(f172247,plain,
domain(sK0) != domain(sK0),
inference(superposition,[],[f65,f170674]) ).
fof(f170674,plain,
! [X0,X1] : domain(X0) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(forward_demodulation,[],[f170673,f5751]) ).
fof(f5751,plain,
! [X0,X1] : addition(X1,multiplication(X1,domain(X0))) = X1,
inference(forward_demodulation,[],[f5689,f34]) ).
fof(f34,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(f5689,plain,
! [X0,X1] : multiplication(X1,one) = addition(X1,multiplication(X1,domain(X0))),
inference(superposition,[],[f2883,f48]) ).
fof(f48,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f39,f37]) ).
fof(f37,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(f39,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(f2883,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f44,f34]) ).
fof(f44,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(f170673,plain,
! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(forward_demodulation,[],[f170003,f79]) ).
fof(f79,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f73,f35]) ).
fof(f35,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(f73,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f41,f35]) ).
fof(f41,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(f170003,plain,
! [X0,X1] : multiplication(domain(domain(X0)),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(superposition,[],[f15253,f40]) ).
fof(f40,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(f15253,plain,
! [X0,X1] : addition(X0,multiplication(domain(X0),X1)) = multiplication(domain(X0),addition(X0,X1)),
inference(superposition,[],[f44,f15156]) ).
fof(f15156,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f15155,f35]) ).
fof(f15155,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f15054,f48]) ).
fof(f15054,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f14875,f38]) ).
fof(f38,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) ).
fof(f14875,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f45,f35]) ).
fof(f45,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(f65,plain,
domain(sK0) != multiplication(domain(sK0),domain(addition(sK0,sK1))),
inference(superposition,[],[f29,f40]) ).
fof(f29,plain,
domain(sK0) != multiplication(domain(sK0),addition(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(sK0) != multiplication(domain(sK0),addition(domain(sK0),domain(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(X0) != multiplication(domain(X0),addition(domain(X0),domain(X1)))
=> domain(sK0) != multiplication(domain(sK0),addition(domain(sK0),domain(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(X0) != multiplication(domain(X0),addition(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(X0) = multiplication(domain(X0),addition(domain(X0),domain(X1))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(X3) = multiplication(domain(X3),addition(domain(X3),domain(X4))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(X3) = multiplication(domain(X3),addition(domain(X3),domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE069+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:02:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.23/0.36 % (23324)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38 % (23327)WARNING: value z3 for option sas not known
% 0.23/0.38 % (23325)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38 % (23328)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38 % (23326)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38 % (23327)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)
% 0.23/0.38 % (23329)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)
% 0.23/0.38 % (23330)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)
% 0.23/0.38 % (23331)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)
% 0.23/0.38 TRYING [1]
% 0.23/0.38 TRYING [2]
% 0.23/0.39 TRYING [3]
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [2]
% 0.23/0.40 TRYING [4]
% 0.23/0.40 TRYING [3]
% 0.23/0.43 TRYING [5]
% 0.23/0.45 TRYING [4]
% 0.23/0.54 TRYING [6]
% 1.61/0.59 TRYING [5]
% 2.24/0.68 TRYING [1]
% 2.24/0.68 TRYING [2]
% 2.24/0.68 TRYING [3]
% 2.24/0.69 TRYING [4]
% 2.86/0.76 TRYING [5]
% 2.86/0.79 TRYING [7]
% 3.72/0.92 TRYING [6]
% 4.36/0.98 TRYING [6]
% 6.39/1.26 TRYING [7]
% 6.39/1.30 TRYING [8]
% 12.64/2.22 TRYING [7]
% 13.09/2.23 TRYING [9]
% 13.47/2.28 TRYING [8]
% 25.86/4.11 TRYING [9]
% 29.02/4.50 TRYING [10]
% 41.92/6.40 TRYING [8]
% 50.28/7.55 % (23331)First to succeed.
% 50.42/7.56 % (23331)Refutation found. Thanks to Tanya!
% 50.42/7.56 % SZS status Theorem for theBenchmark
% 50.42/7.56 % SZS output start Proof for theBenchmark
% See solution above
% 50.42/7.56 % (23331)------------------------------
% 50.42/7.56 % (23331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 50.42/7.56 % (23331)Termination reason: Refutation
% 50.42/7.56
% 50.42/7.56 % (23331)Memory used [KB]: 56004
% 50.42/7.56 % (23331)Time elapsed: 7.161 s
% 50.42/7.56 % (23331)Instructions burned: 15872 (million)
% 50.42/7.56 % (23331)------------------------------
% 50.42/7.56 % (23331)------------------------------
% 50.42/7.56 % (23324)Success in time 7.142 s
%------------------------------------------------------------------------------