TSTP Solution File: GRP750-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP750-1 : 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 : n017.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 06:10:47 EDT 2024
% Result : Unsatisfiable 57.87s 8.54s
% Output : Refutation 57.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 326 ( 326 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f243310,plain,
$false,
inference(trivial_inequality_removal,[],[f242977]) ).
fof(f242977,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(superposition,[],[f7,f138547]) ).
fof(f138547,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(X2,X1)) = mult(mult(X0,X2),mult(X0,X1)),
inference(forward_demodulation,[],[f138546,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f138546,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(X0,X1)) = mult(mult(X0,rd(mult(X0,ld(X1,X1)),ld(X1,X1))),mult(X2,X1)),
inference(forward_demodulation,[],[f138545,f43546]) ).
fof(f43546,plain,
! [X2,X3,X0,X1] : rd(mult(X3,ld(X2,mult(X1,X0))),X0) = rd(mult(X1,ld(X2,X0)),ld(X3,X0)),
inference(superposition,[],[f23210,f23646]) ).
fof(f23646,plain,
! [X2,X0,X1] : ld(X0,mult(X2,X1)) = ld(rd(X1,X1),mult(X2,ld(X0,X1))),
inference(superposition,[],[f2,f13170]) ).
fof(f13170,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X1,ld(rd(X2,X2),mult(X0,ld(X1,X2)))),
inference(forward_demodulation,[],[f13022,f590]) ).
fof(f590,plain,
! [X2,X0,X1] : ld(rd(X0,X1),X2) = rd(ld(X0,mult(X2,mult(X1,X1))),X1),
inference(superposition,[],[f4,f198]) ).
fof(f198,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X1),X2),X1) = ld(X0,mult(X2,mult(X1,X1))),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X1)) = mult(X0,mult(ld(rd(X0,X1),X2),X1)),
inference(superposition,[],[f14,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(ld(X0,X1),X2)) = mult(X1,mult(X2,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f13022,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X1,rd(ld(X2,mult(mult(X0,ld(X1,X2)),mult(X2,X2))),X2)),
inference(superposition,[],[f7734,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),mult(X1,X1)),mult(X2,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f7734,plain,
! [X2,X0,X1] : mult(X0,rd(ld(X1,X2),X1)) = rd(X2,mult(ld(X0,X1),X1)),
inference(superposition,[],[f9,f5730]) ).
fof(f5730,plain,
! [X2,X0,X1] : mult(ld(X2,X0),X0) = ld(mult(X2,rd(ld(X0,X1),X0)),X1),
inference(superposition,[],[f5034,f1]) ).
fof(f5034,plain,
! [X2,X0,X1] : mult(ld(X1,X0),X0) = ld(mult(X1,rd(X2,X0)),mult(X0,X2)),
inference(superposition,[],[f4928,f9]) ).
fof(f4928,plain,
! [X2,X0,X1] : mult(X0,X1) = ld(mult(rd(X1,X0),rd(X2,X1)),mult(X1,X2)),
inference(superposition,[],[f4910,f4]) ).
fof(f4910,plain,
! [X2,X0,X1] : ld(mult(rd(X0,rd(X2,X0)),rd(X1,X0)),mult(X0,X1)) = X2,
inference(forward_demodulation,[],[f4909,f4]) ).
fof(f4909,plain,
! [X2,X0,X1] : ld(mult(rd(X0,rd(X2,X0)),rd(rd(mult(X1,X2),X2),X0)),mult(X0,X1)) = X2,
inference(forward_demodulation,[],[f4908,f1682]) ).
fof(f1682,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X1,X1)),rd(X2,X1)) = rd(rd(X0,X2),X1),
inference(superposition,[],[f4,f825]) ).
fof(f825,plain,
! [X2,X0,X1] : rd(X0,X2) = mult(rd(rd(X0,mult(X1,X1)),rd(X2,X1)),X1),
inference(superposition,[],[f310,f3]) ).
fof(f310,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),X2) = rd(mult(X0,mult(X2,X2)),X1),
inference(superposition,[],[f4,f49]) ).
fof(f49,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X1)) = mult(mult(rd(X2,rd(X0,X1)),X1),X0),
inference(superposition,[],[f15,f3]) ).
fof(f15,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),mult(X1,X2)) = mult(X0,mult(X2,X2)),
inference(superposition,[],[f6,f3]) ).
fof(f4908,plain,
! [X2,X0,X1] : ld(mult(rd(X0,rd(X2,X0)),rd(rd(mult(X1,X2),mult(X0,X0)),rd(X2,X0))),mult(X0,X1)) = X2,
inference(forward_demodulation,[],[f4907,f443]) ).
fof(f443,plain,
! [X2,X0,X1] : mult(rd(X2,X1),rd(X0,X1)) = rd(mult(X2,X0),mult(X1,X1)),
inference(superposition,[],[f68,f3]) ).
fof(f68,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,mult(X2,X1)),mult(X1,X1)),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(X0,mult(X2,X1)),
inference(superposition,[],[f6,f3]) ).
fof(f4907,plain,
! [X2,X0,X1] : ld(rd(mult(X0,rd(mult(X1,X2),mult(X0,X0))),mult(rd(X2,X0),rd(X2,X0))),mult(X0,X1)) = X2,
inference(forward_demodulation,[],[f4906,f443]) ).
fof(f4906,plain,
! [X2,X0,X1] : ld(rd(mult(X0,rd(mult(X1,X2),mult(X0,X0))),rd(mult(X2,X2),mult(X0,X0))),mult(X0,X1)) = X2,
inference(forward_demodulation,[],[f4813,f2915]) ).
fof(f2915,plain,
! [X2,X3,X0,X1] : rd(mult(X0,rd(X2,X1)),rd(X3,X1)) = rd(rd(mult(mult(X0,X1),X2),X3),X1),
inference(superposition,[],[f1682,f82]) ).
fof(f82,plain,
! [X2,X0,X1] : mult(X2,rd(X0,X1)) = rd(mult(mult(X2,X1),X0),mult(X1,X1)),
inference(superposition,[],[f26,f3]) ).
fof(f26,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),mult(X1,X2)),mult(X2,X2)),
inference(superposition,[],[f4,f6]) ).
fof(f4813,plain,
! [X2,X0,X1] : ld(rd(rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(X2,X2)),mult(X0,X0)),mult(X0,X1)) = X2,
inference(superposition,[],[f929,f3389]) ).
fof(f3389,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(mult(X0,X0),X2)),
inference(superposition,[],[f4,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f929,plain,
! [X2,X0,X1] : ld(rd(rd(X0,mult(X1,X1)),X2),rd(X0,mult(X2,X1))) = X1,
inference(superposition,[],[f2,f365]) ).
fof(f365,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,X1)),X2),X1) = rd(X0,mult(X2,X1)),
inference(superposition,[],[f57,f3]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,mult(X2,X2)),mult(X1,X2)),
inference(superposition,[],[f4,f15]) ).
fof(f9,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f23210,plain,
! [X2,X0,X1] : rd(X1,ld(X2,X0)) = rd(mult(X2,ld(rd(X0,X0),X1)),X0),
inference(forward_demodulation,[],[f23052,f3]) ).
fof(f23052,plain,
! [X2,X0,X1] : rd(mult(rd(X1,X0),X0),ld(X2,X0)) = rd(mult(X2,ld(rd(X0,X0),X1)),X0),
inference(superposition,[],[f11647,f8727]) ).
fof(f8727,plain,
! [X2,X0,X1] : mult(rd(X1,X2),X0) = mult(rd(X0,X2),ld(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f8583,f57]) ).
fof(f8583,plain,
! [X2,X0,X1] : mult(rd(X0,X2),ld(rd(X0,X0),X1)) = rd(mult(X1,mult(X0,X0)),mult(X2,X0)),
inference(superposition,[],[f5897,f31]) ).
fof(f5897,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,mult(X2,X0)),mult(X1,X0)),
inference(superposition,[],[f9,f5057]) ).
fof(f5057,plain,
! [X2,X0,X1] : mult(X2,X1) = ld(mult(rd(X1,X2),X0),mult(X1,mult(X0,X1))),
inference(superposition,[],[f4928,f4]) ).
fof(f11647,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X0) = rd(mult(rd(X0,X0),X1),ld(X2,X0)),
inference(forward_demodulation,[],[f11646,f4]) ).
fof(f11646,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X0) = rd(mult(rd(X0,X0),rd(mult(X1,X0),X0)),ld(X2,X0)),
inference(forward_demodulation,[],[f11532,f443]) ).
fof(f11532,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X0) = rd(rd(mult(X0,mult(X1,X0)),mult(X0,X0)),ld(X2,X0)),
inference(superposition,[],[f930,f7470]) ).
fof(f7470,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(X2,mult(X1,X2)),mult(ld(X0,X2),X2)),
inference(superposition,[],[f9,f5703]) ).
fof(f5703,plain,
! [X2,X0,X1] : mult(ld(X2,X1),X1) = ld(mult(X2,X0),mult(X1,mult(X0,X1))),
inference(superposition,[],[f5034,f4]) ).
fof(f930,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X1,X1)),X2) = rd(rd(X0,mult(X2,X1)),X1),
inference(superposition,[],[f4,f365]) ).
fof(f138545,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(X0,X1)) = mult(mult(X0,rd(mult(X1,ld(X1,mult(X0,X1))),X1)),mult(X2,X1)),
inference(forward_demodulation,[],[f138544,f103838]) ).
fof(f103838,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X2),rd(mult(X0,X1),X2)) = mult(X0,rd(mult(X1,ld(X2,mult(X0,X1))),X2)),
inference(forward_demodulation,[],[f103507,f86618]) ).
fof(f86618,plain,
! [X2,X0,X1] : rd(mult(X1,ld(X0,X2)),X0) = ld(rd(X0,rd(X2,X0)),mult(rd(X0,X0),X1)),
inference(superposition,[],[f7120,f50165]) ).
fof(f50165,plain,
! [X2,X0,X1] : ld(mult(rd(X0,X0),X1),mult(X0,mult(X1,ld(X0,X2)))) = X2,
inference(superposition,[],[f2,f26137]) ).
fof(f26137,plain,
! [X2,X0,X1] : mult(X0,mult(X2,ld(X0,X1))) = mult(mult(rd(X0,X0),X2),X1),
inference(superposition,[],[f13778,f1]) ).
fof(f13778,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X1)) = mult(mult(rd(X0,X0),X2),mult(X0,X1)),
inference(forward_demodulation,[],[f13653,f20]) ).
fof(f13653,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(mult(rd(X0,X0),X2),mult(X0,X1)),
inference(superposition,[],[f15,f8533]) ).
fof(f8533,plain,
! [X2,X0,X1] : mult(rd(X0,X0),X2) = mult(rd(mult(rd(X0,X1),X2),X0),X1),
inference(forward_demodulation,[],[f8449,f68]) ).
fof(f8449,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X2),X0),X1) = rd(mult(X0,mult(X2,X0)),mult(X0,X0)),
inference(superposition,[],[f68,f5896]) ).
fof(f5896,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(mult(rd(X0,X1),X2),mult(X1,X0)),
inference(superposition,[],[f1,f5057]) ).
fof(f7120,plain,
! [X2,X0,X1] : rd(X1,X0) = ld(rd(X0,rd(ld(X2,mult(X0,X1)),X0)),X2),
inference(superposition,[],[f5637,f9]) ).
fof(f5637,plain,
! [X2,X0,X1] : rd(X2,X0) = ld(rd(X0,rd(X1,X0)),rd(mult(X0,X2),X1)),
inference(superposition,[],[f2,f4998]) ).
fof(f4998,plain,
! [X2,X0,X1] : rd(mult(X0,X2),X1) = mult(rd(X0,rd(X1,X0)),rd(X2,X0)),
inference(superposition,[],[f9,f4910]) ).
fof(f103507,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X2),rd(mult(X0,X1),X2)) = mult(X0,ld(rd(X2,rd(mult(X0,X1),X2)),mult(rd(X2,X2),X1))),
inference(superposition,[],[f61485,f11376]) ).
fof(f11376,plain,
! [X2,X0,X1] : mult(rd(X2,X2),X1) = mult(rd(mult(X0,X1),X2),ld(X0,X2)),
inference(forward_demodulation,[],[f11259,f68]) ).
fof(f11259,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X2),ld(X0,X2)) = rd(mult(X2,mult(X1,X2)),mult(X2,X2)),
inference(superposition,[],[f68,f7469]) ).
fof(f7469,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X2)) = mult(mult(X0,X1),mult(ld(X0,X2),X2)),
inference(superposition,[],[f1,f5703]) ).
fof(f61485,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(X2,ld(rd(X0,X1),mult(X1,ld(X2,X0)))),
inference(forward_demodulation,[],[f61484,f3]) ).
fof(f61484,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(X2,ld(rd(X0,X1),mult(X1,mult(rd(ld(X2,X0),X1),X1)))),
inference(forward_demodulation,[],[f61100,f7395]) ).
fof(f7395,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X1),X2),X2) = ld(X0,mult(X2,mult(X1,X2))),
inference(superposition,[],[f5703,f3]) ).
fof(f61100,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(X2,mult(ld(rd(rd(X0,X1),rd(ld(X2,X0),X1)),X1),X1)),
inference(superposition,[],[f5777,f30886]) ).
fof(f30886,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),rd(ld(X2,X0),X1)),rd(X1,X1)) = X2,
inference(forward_demodulation,[],[f30677,f23012]) ).
fof(f23012,plain,
! [X2,X0,X1] : rd(ld(X0,X2),X1) = ld(rd(X0,rd(X2,X1)),rd(X2,X2)),
inference(forward_demodulation,[],[f23011,f3]) ).
fof(f23011,plain,
! [X2,X0,X1] : rd(ld(X0,X2),X1) = ld(rd(mult(rd(X0,X1),X1),rd(X2,X1)),rd(X2,X2)),
inference(forward_demodulation,[],[f22870,f2914]) ).
fof(f2914,plain,
! [X2,X3,X0,X1] : rd(mult(rd(X0,X2),X1),rd(X3,X2)) = rd(rd(mult(X0,mult(X1,X2)),X3),X2),
inference(superposition,[],[f1682,f68]) ).
fof(f22870,plain,
! [X2,X0,X1] : rd(ld(X0,X2),X1) = ld(rd(rd(mult(X0,mult(X1,X1)),X2),X1),rd(X2,X2)),
inference(superposition,[],[f590,f11645]) ).
fof(f11645,plain,
! [X2,X0,X1] : ld(X2,X0) = ld(rd(mult(X2,X1),X0),mult(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f11644,f4]) ).
fof(f11644,plain,
! [X2,X0,X1] : ld(X2,X0) = ld(rd(mult(X2,X1),X0),mult(rd(X0,X0),rd(mult(X1,X0),X0))),
inference(forward_demodulation,[],[f11531,f443]) ).
fof(f11531,plain,
! [X2,X0,X1] : ld(X2,X0) = ld(rd(mult(X2,X1),X0),rd(mult(X0,mult(X1,X0)),mult(X0,X0))),
inference(superposition,[],[f1169,f7470]) ).
fof(f1169,plain,
! [X2,X0,X1] : ld(rd(rd(X0,mult(X1,X2)),X2),rd(X0,mult(X2,X2))) = X1,
inference(superposition,[],[f2,f451]) ).
fof(f451,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,X2)),X2),X1) = rd(X0,mult(X2,X2)),
inference(superposition,[],[f68,f3]) ).
fof(f30677,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),ld(rd(X2,rd(X0,X1)),rd(X0,X0))),rd(X1,X1)) = X2,
inference(superposition,[],[f9693,f15200]) ).
fof(f15200,plain,
! [X2,X0,X1] : rd(X1,X2) = ld(rd(rd(X0,X1),rd(X0,X2)),rd(X0,X0)),
inference(forward_demodulation,[],[f15199,f3]) ).
fof(f15199,plain,
! [X2,X0,X1] : rd(X1,X2) = ld(rd(mult(rd(rd(X0,X1),X2),X2),rd(X0,X2)),rd(X0,X0)),
inference(forward_demodulation,[],[f15085,f2914]) ).
fof(f15085,plain,
! [X2,X0,X1] : rd(X1,X2) = ld(rd(rd(mult(rd(X0,X1),mult(X2,X2)),X0),X2),rd(X0,X0)),
inference(superposition,[],[f590,f8754]) ).
fof(f8754,plain,
! [X2,X0,X1] : ld(rd(mult(rd(X0,X2),X1),X0),mult(rd(X0,X0),X1)) = X2,
inference(forward_demodulation,[],[f8753,f4]) ).
fof(f8753,plain,
! [X2,X0,X1] : ld(rd(mult(rd(X0,X2),X1),X0),mult(rd(X0,X0),rd(mult(X1,X0),X0))) = X2,
inference(forward_demodulation,[],[f8656,f443]) ).
fof(f8656,plain,
! [X2,X0,X1] : ld(rd(mult(rd(X0,X2),X1),X0),rd(mult(X0,mult(X1,X0)),mult(X0,X0))) = X2,
inference(superposition,[],[f1169,f5897]) ).
fof(f9693,plain,
! [X2,X0,X1] : mult(rd(X0,ld(rd(X2,X0),X1)),ld(rd(X0,X0),X1)) = X2,
inference(superposition,[],[f6812,f1]) ).
fof(f6812,plain,
! [X2,X0,X1] : mult(rd(X0,ld(rd(X2,X0),mult(rd(X0,X0),X1))),X1) = X2,
inference(forward_demodulation,[],[f6702,f1427]) ).
fof(f1427,plain,
! [X2,X3,X0,X1] : ld(rd(X3,X1),mult(rd(X0,X1),X2)) = rd(ld(X3,mult(X0,mult(X2,X1))),X1),
inference(superposition,[],[f590,f20]) ).
fof(f6702,plain,
! [X2,X0,X1] : mult(rd(X0,rd(ld(X2,mult(X0,mult(X1,X0))),X0)),X1) = X2,
inference(superposition,[],[f5212,f9]) ).
fof(f5212,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X0)),X2) = rd(mult(X0,mult(X2,X0)),X1),
inference(superposition,[],[f9,f4948]) ).
fof(f4948,plain,
! [X2,X0,X1] : ld(mult(rd(X1,rd(X2,X1)),X0),mult(X1,mult(X0,X1))) = X2,
inference(superposition,[],[f4910,f4]) ).
fof(f5777,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(mult(X0,rd(X1,X2)),mult(ld(X0,X2),X2)),
inference(superposition,[],[f1,f5034]) ).
fof(f138544,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(X0,X1)) = mult(mult(rd(mult(X0,X1),X1),rd(mult(X0,X1),X1)),mult(X2,X1)),
inference(forward_demodulation,[],[f137740,f443]) ).
fof(f137740,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(X0,X1)) = mult(rd(mult(mult(X0,X1),mult(X0,X1)),mult(X1,X1)),mult(X2,X1)),
inference(superposition,[],[f77674,f26]) ).
fof(f77674,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X0),X1),X2) = mult(rd(mult(X0,X2),X1),X0),
inference(forward_demodulation,[],[f77173,f4998]) ).
fof(f77173,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X2),X1),X0) = mult(mult(rd(X0,rd(X1,X0)),rd(X0,X0)),X2),
inference(superposition,[],[f43956,f4998]) ).
fof(f43956,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(mult(X2,rd(X1,X1)),X0),
inference(superposition,[],[f23937,f3]) ).
fof(f23937,plain,
! [X2,X0,X1] : mult(mult(X0,X2),X1) = mult(mult(X0,rd(X1,X1)),mult(X2,X1)),
inference(forward_demodulation,[],[f23728,f3283]) ).
fof(f3283,plain,
! [X2,X0,X1] : mult(mult(X0,X2),X1) = mult(mult(X0,mult(X0,X0)),mult(X2,ld(mult(X0,X0),X1))),
inference(superposition,[],[f5,f1]) ).
fof(f23728,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X2,ld(mult(X0,X0),X1))) = mult(mult(X0,rd(X1,X1)),mult(X2,X1)),
inference(superposition,[],[f3241,f13170]) ).
fof(f3241,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(mult(X2,X2),ld(X0,X1))) = mult(mult(X2,mult(X2,X2)),X1),
inference(superposition,[],[f5,f1]) ).
fof(f7,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri May 3 20:47:37 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % (6895)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.28 % (6898)WARNING: value z3 for option sas not known
% 0.11/0.28 % (6899)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.28 % (6897)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.28 % (6901)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)
% 0.11/0.28 % (6898)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)
% 0.11/0.28 % (6900)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)
% 0.11/0.28 % (6902)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)
% 0.11/0.28 TRYING [1]
% 0.11/0.28 TRYING [2]
% 0.11/0.28 TRYING [3]
% 0.11/0.28 TRYING [4]
% 0.11/0.28 % (6896)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.29 TRYING [1]
% 0.11/0.29 TRYING [2]
% 0.11/0.30 TRYING [3]
% 0.11/0.30 TRYING [5]
% 0.11/0.33 TRYING [4]
% 0.11/0.45 TRYING [6]
% 0.11/0.47 TRYING [5]
% 6.75/1.30 TRYING [6]
% 7.33/1.38 TRYING [1]
% 7.33/1.38 TRYING [2]
% 7.79/1.38 TRYING [3]
% 7.79/1.38 TRYING [4]
% 7.79/1.41 TRYING [5]
% 8.84/1.59 TRYING [6]
% 13.65/2.29 TRYING [7]
% 26.29/4.04 TRYING [7]
% 52.13/7.72 TRYING [8]
% 57.30/8.50 % (6902)First to succeed.
% 57.87/8.53 % (6902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6895"
% 57.87/8.54 % (6902)Refutation found. Thanks to Tanya!
% 57.87/8.54 % SZS status Unsatisfiable for theBenchmark
% 57.87/8.54 % SZS output start Proof for theBenchmark
% See solution above
% 57.87/8.54 % (6902)------------------------------
% 57.87/8.54 % (6902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 57.87/8.54 % (6902)Termination reason: Refutation
% 57.87/8.54
% 57.87/8.54 % (6902)Memory used [KB]: 130402
% 57.87/8.54 % (6902)Time elapsed: 8.255 s
% 57.87/8.54 % (6902)Instructions burned: 21916 (million)
% 57.87/8.54 % (6895)Success in time 8.084 s
%------------------------------------------------------------------------------