TSTP Solution File: GRP748-4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP748-4 : 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 : n007.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 12:09:03 EDT 2024
% Result : Unsatisfiable 132.90s 19.48s
% Output : Refutation 132.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 132 ( 124 unt; 0 def)
% Number of atoms : 140 ( 139 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 3 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 289 ( 289 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f508169,plain,
$false,
inference(subsumption_resolution,[],[f506898,f425757]) ).
fof(f425757,plain,
! [X2,X0,X1] : mult(X2,mult(mult(X0,X1),X2)) = mult(mult(X2,X0),mult(X1,X2)),
inference(forward_demodulation,[],[f425756,f424990]) ).
fof(f424990,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f422480,f3283]) ).
fof(f3283,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = ld(i(X0),mult(X1,X0)),
inference(superposition,[],[f2,f555]) ).
fof(f555,plain,
! [X0,X1] : mult(X1,X0) = mult(i(X0),mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f517,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f517,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f422480,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
inference(superposition,[],[f422467,f35]) ).
fof(f35,plain,
! [X0] : i(i(X0)) = X0,
inference(superposition,[],[f25,f23]) ).
fof(f23,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f2,f9]) ).
fof(f9,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f25,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(superposition,[],[f2,f10]) ).
fof(f422467,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),X1),
inference(subsumption_resolution,[],[f420968,f44176]) ).
fof(f44176,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = rd(X1,X0) ),
inference(superposition,[],[f4,f2381]) ).
fof(f2381,plain,
! [X0,X1] :
( mult(ld(X0,X1),X0) = X1
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f2334,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2334,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X0,ld(X0,X1)) = mult(ld(X0,X1),X0) ),
inference(superposition,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f420968,plain,
! [X0,X1] :
( ld(X0,X1) != rd(X1,X0)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(equality_factoring,[],[f43522]) ).
fof(f43522,plain,
! [X0,X1] :
( rd(X1,X0) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f43409,f88]) ).
fof(f88,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f43409,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X1,i(X0)) = mult(i(X0),X1) ),
inference(superposition,[],[f2362,f35]) ).
fof(f2362,plain,
! [X0,X1] :
( mult(X0,X1) = ld(i(X0),X1)
| mult(X0,X1) = mult(X1,X0) ),
inference(superposition,[],[f2,f11]) ).
fof(f425756,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),X2) = mult(mult(X2,X0),mult(X1,X2)),
inference(forward_demodulation,[],[f425755,f422480]) ).
fof(f425755,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),X2) = ld(i(mult(X2,X0)),mult(X1,X2)),
inference(forward_demodulation,[],[f425754,f424284]) ).
fof(f424284,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(X1,i(X0)),
inference(forward_demodulation,[],[f424283,f163974]) ).
fof(f163974,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(X0,X1),rd(X1,mult(X0,mult(X0,X1)))),
inference(forward_demodulation,[],[f163973,f2]) ).
fof(f163973,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(i(X1),mult(i(X1),ld(X0,X1))),rd(X1,mult(X0,mult(X0,X1)))),
inference(forward_demodulation,[],[f163972,f9002]) ).
fof(f9002,plain,
! [X0,X1] : i(X0) = ld(mult(i(X0),ld(X1,X0)),i(mult(X1,X0))),
inference(forward_demodulation,[],[f9001,f210]) ).
fof(f210,plain,
! [X2,X0,X1] : rd(X2,ld(X0,X1)) = mult(X2,ld(X1,X0)),
inference(superposition,[],[f88,f108]) ).
fof(f108,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
! [X0,X1] : mult(X1,i(ld(X0,X1))) = X0,
inference(superposition,[],[f8,f1]) ).
fof(f9001,plain,
! [X0,X1] : i(X0) = ld(rd(i(X0),ld(X0,X1)),i(mult(X1,X0))),
inference(forward_demodulation,[],[f9000,f3088]) ).
fof(f3088,plain,
! [X0,X1] : rd(i(X1),X0) = mult(ld(mult(X0,X1),i(X1)),X1),
inference(forward_demodulation,[],[f3032,f93]) ).
fof(f93,plain,
! [X0,X1] : mult(X0,X1) = rd(X0,i(X1)),
inference(superposition,[],[f4,f8]) ).
fof(f3032,plain,
! [X0,X1] : rd(i(X1),X0) = mult(ld(rd(X0,i(X1)),i(X1)),X1),
inference(superposition,[],[f2071,f93]) ).
fof(f2071,plain,
! [X0,X1] : rd(X0,X1) = rd(ld(rd(X1,X0),X0),X0),
inference(superposition,[],[f4,f1446]) ).
fof(f1446,plain,
! [X0,X1] : mult(rd(X1,X0),X1) = ld(rd(X0,X1),X1),
inference(superposition,[],[f2,f1131]) ).
fof(f1131,plain,
! [X0,X1] : mult(rd(X0,X1),mult(rd(X1,X0),X1)) = X1,
inference(superposition,[],[f559,f3]) ).
fof(f559,plain,
! [X0,X1] : mult(X0,mult(rd(X1,mult(X0,X1)),X1)) = X1,
inference(forward_demodulation,[],[f558,f6]) ).
fof(f558,plain,
! [X0,X1] : mult(unit,X1) = mult(X0,mult(rd(X1,mult(X0,X1)),X1)),
inference(forward_demodulation,[],[f522,f88]) ).
fof(f522,plain,
! [X0,X1] : mult(unit,X1) = mult(X0,mult(mult(X1,i(mult(X0,X1))),X1)),
inference(superposition,[],[f7,f9]) ).
fof(f9000,plain,
! [X0,X1] : i(X0) = ld(mult(ld(mult(ld(X0,X1),X0),i(X0)),X0),i(mult(X1,X0))),
inference(forward_demodulation,[],[f8999,f2322]) ).
fof(f2322,plain,
! [X0,X1] : rd(i(X1),rd(X0,X1)) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[],[f2284,f88]) ).
fof(f2284,plain,
! [X0,X1] : rd(i(X1),mult(X0,i(X1))) = mult(ld(X0,i(X1)),X1),
inference(superposition,[],[f1548,f93]) ).
fof(f1548,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(ld(X1,X0),X0),
inference(superposition,[],[f4,f1142]) ).
fof(f1142,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(X1,mult(X0,X1)),X1),
inference(superposition,[],[f2,f559]) ).
fof(f8999,plain,
! [X0,X1] : i(X0) = ld(rd(i(X0),rd(mult(ld(X0,X1),X0),X0)),i(mult(X1,X0))),
inference(forward_demodulation,[],[f8896,f88]) ).
fof(f8896,plain,
! [X0,X1] : i(X0) = ld(rd(i(X0),mult(mult(ld(X0,X1),X0),i(X0))),i(mult(X1,X0))),
inference(superposition,[],[f2171,f3248]) ).
fof(f3248,plain,
! [X0,X1] : mult(ld(X0,X1),X0) = mult(i(X0),mult(X1,X0)),
inference(superposition,[],[f555,f1]) ).
fof(f2171,plain,
! [X0,X1] : ld(rd(X0,mult(mult(X0,X1),X0)),i(X1)) = X0,
inference(superposition,[],[f1547,f94]) ).
fof(f94,plain,
! [X0,X1] : i(X1) = ld(mult(X0,X1),X0),
inference(superposition,[],[f2,f8]) ).
fof(f1547,plain,
! [X0,X1] : ld(rd(X0,mult(X1,X0)),ld(X1,X0)) = X0,
inference(superposition,[],[f2,f1142]) ).
fof(f163972,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),rd(X1,mult(X0,mult(X0,X1)))),
inference(forward_demodulation,[],[f163971,f88]) ).
fof(f163971,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),mult(X1,i(mult(X0,mult(X0,X1))))),
inference(forward_demodulation,[],[f163970,f50]) ).
fof(f50,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f4,f10]) ).
fof(f163970,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),mult(X1,rd(unit,mult(X0,mult(X0,X1))))),
inference(forward_demodulation,[],[f163969,f10]) ).
fof(f163969,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),mult(X1,rd(mult(i(X1),X1),mult(X0,mult(X0,X1))))),
inference(forward_demodulation,[],[f163968,f95483]) ).
fof(f95483,plain,
! [X2,X0,X1] : rd(mult(X0,ld(X2,X1)),mult(X2,X1)) = rd(mult(X0,X1),mult(X2,mult(X2,X1))),
inference(forward_demodulation,[],[f95482,f88]) ).
fof(f95482,plain,
! [X2,X0,X1] : rd(mult(X0,ld(X2,X1)),mult(X2,X1)) = mult(mult(X0,X1),i(mult(X2,mult(X2,X1)))),
inference(forward_demodulation,[],[f94693,f63177]) ).
fof(f63177,plain,
! [X0,X1] : ld(mult(X1,X0),rd(X0,mult(X1,X0))) = i(mult(X1,mult(X1,X0))),
inference(superposition,[],[f94,f1432]) ).
fof(f1432,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(X1,mult(X0,X1)),mult(X0,mult(X0,X1))),
inference(superposition,[],[f1131,f4]) ).
fof(f94693,plain,
! [X2,X0,X1] : rd(mult(X0,ld(X2,X1)),mult(X2,X1)) = mult(mult(X0,X1),ld(mult(X2,X1),rd(X1,mult(X2,X1)))),
inference(superposition,[],[f45225,f55777]) ).
fof(f55777,plain,
! [X2,X0,X1] : ld(rd(mult(X2,X0),mult(X1,X0)),mult(X2,ld(X1,X0))) = X0,
inference(forward_demodulation,[],[f55776,f88]) ).
fof(f55776,plain,
! [X2,X0,X1] : ld(mult(mult(X2,X0),i(mult(X1,X0))),mult(X2,ld(X1,X0))) = X0,
inference(forward_demodulation,[],[f55206,f127]) ).
fof(f127,plain,
! [X0,X1] : i(X1) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f2,f88]) ).
fof(f55206,plain,
! [X2,X0,X1] : ld(mult(mult(X2,X0),ld(X0,rd(X0,mult(X1,X0)))),mult(X2,ld(X1,X0))) = X0,
inference(superposition,[],[f42633,f1142]) ).
fof(f42633,plain,
! [X2,X0,X1] : ld(mult(mult(X2,X0),ld(X0,X1)),mult(X2,mult(X1,X0))) = X0,
inference(superposition,[],[f535,f1]) ).
fof(f535,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(mult(X1,X2),X1))) = X1,
inference(superposition,[],[f2,f7]) ).
fof(f45225,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X0,ld(X1,rd(ld(rd(X0,X1),X2),X1))),
inference(forward_demodulation,[],[f45224,f88]) ).
fof(f45224,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(X0,ld(X1,rd(ld(rd(X0,X1),X2),X1))),
inference(forward_demodulation,[],[f45223,f3133]) ).
fof(f3133,plain,
! [X0,X1] : rd(mult(i(X0),X1),X0) = ld(X0,rd(X1,X0)),
inference(superposition,[],[f2,f544]) ).
fof(f544,plain,
! [X0,X1] : rd(X1,X0) = mult(X0,rd(mult(i(X0),X1),X0)),
inference(forward_demodulation,[],[f543,f88]) ).
fof(f543,plain,
! [X0,X1] : rd(X1,X0) = mult(X0,mult(mult(i(X0),X1),i(X0))),
inference(forward_demodulation,[],[f542,f6]) ).
fof(f542,plain,
! [X0,X1] : mult(X0,mult(mult(i(X0),X1),i(X0))) = rd(mult(unit,X1),X0),
inference(forward_demodulation,[],[f507,f88]) ).
fof(f507,plain,
! [X0,X1] : mult(X0,mult(mult(i(X0),X1),i(X0))) = mult(mult(unit,X1),i(X0)),
inference(superposition,[],[f7,f9]) ).
fof(f45223,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(X0,rd(mult(i(X1),ld(rd(X0,X1),X2)),X1)),
inference(forward_demodulation,[],[f44997,f88]) ).
fof(f44997,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(X0,mult(mult(i(X1),ld(rd(X0,X1),X2)),i(X1))),
inference(superposition,[],[f561,f88]) ).
fof(f561,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(X0,mult(mult(X1,ld(mult(X0,X1),X2)),X1)),
inference(forward_demodulation,[],[f560,f210]) ).
fof(f560,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(X0,mult(rd(X1,ld(X2,mult(X0,X1))),X1)),
inference(forward_demodulation,[],[f523,f88]) ).
fof(f523,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(X0,mult(mult(X1,i(ld(X2,mult(X0,X1)))),X1)),
inference(superposition,[],[f7,f86]) ).
fof(f163968,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),mult(X1,rd(mult(i(X1),ld(X0,X1)),mult(X0,X1)))),
inference(forward_demodulation,[],[f162913,f88]) ).
fof(f162913,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(ld(ld(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))),mult(i(X1),ld(X0,X1))),mult(X1,mult(mult(i(X1),ld(X0,X1)),i(mult(X0,X1))))),
inference(superposition,[],[f67635,f7070]) ).
fof(f7070,plain,
! [X0,X1] : ld(i(mult(X0,X1)),mult(i(X1),ld(X0,X1))) = X1,
inference(forward_demodulation,[],[f6996,f127]) ).
fof(f6996,plain,
! [X0,X1] : ld(ld(X1,rd(X1,mult(X0,X1))),mult(i(X1),ld(X0,X1))) = X1,
inference(superposition,[],[f4393,f1548]) ).
fof(f4393,plain,
! [X0,X1] : ld(ld(X0,rd(X1,X0)),mult(i(X0),X1)) = X0,
inference(superposition,[],[f43,f3133]) ).
fof(f43,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f67635,plain,
! [X0,X1] : ld(ld(ld(X1,X0),X1),mult(ld(X0,X1),mult(X1,X0))) = X0,
inference(superposition,[],[f42633,f4792]) ).
fof(f4792,plain,
! [X0,X1] : ld(ld(X1,X0),X1) = mult(mult(ld(X0,X1),X0),ld(X0,X1)),
inference(forward_demodulation,[],[f4734,f108]) ).
fof(f4734,plain,
! [X0,X1] : mult(mult(ld(X0,X1),X0),ld(X0,X1)) = ld(i(ld(X0,X1)),X1),
inference(superposition,[],[f3283,f1]) ).
fof(f424283,plain,
! [X0,X1] : ld(X1,i(X0)) = ld(ld(X0,X1),rd(X1,mult(X0,mult(X0,X1)))),
inference(forward_demodulation,[],[f424282,f422480]) ).
fof(f424282,plain,
! [X0,X1] : ld(X1,i(X0)) = ld(ld(X0,X1),rd(X1,mult(X0,ld(i(X0),X1)))),
inference(forward_demodulation,[],[f422967,f424194]) ).
fof(f424194,plain,
! [X2,X0,X1] : rd(X2,mult(X0,X1)) = mult(X2,ld(X1,i(X0))),
inference(forward_demodulation,[],[f422902,f81957]) ).
fof(f81957,plain,
! [X2,X0,X1] : rd(X2,mult(X1,X0)) = rd(mult(rd(X2,X0),ld(X1,X0)),X0),
inference(forward_demodulation,[],[f81956,f88]) ).
fof(f81956,plain,
! [X2,X0,X1] : mult(X2,i(mult(X1,X0))) = rd(mult(rd(X2,X0),ld(X1,X0)),X0),
inference(forward_demodulation,[],[f81559,f127]) ).
fof(f81559,plain,
! [X2,X0,X1] : mult(X2,ld(X0,rd(X0,mult(X1,X0)))) = rd(mult(rd(X2,X0),ld(X1,X0)),X0),
inference(superposition,[],[f50153,f1142]) ).
fof(f50153,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X2)) = rd(mult(rd(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f4,f15369]) ).
fof(f15369,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,X1)),X0) = mult(rd(X2,X0),mult(X1,X0)),
inference(superposition,[],[f515,f1]) ).
fof(f515,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(mult(X1,X2),X1)) = mult(mult(X0,X2),X1),
inference(superposition,[],[f7,f3]) ).
fof(f422902,plain,
! [X2,X0,X1] : mult(X2,ld(X1,i(X0))) = rd(mult(rd(X2,X1),ld(X0,X1)),X1),
inference(superposition,[],[f50153,f422467]) ).
fof(f422967,plain,
! [X0,X1] : ld(X1,i(X0)) = ld(ld(X0,X1),mult(X1,ld(ld(i(X0),X1),i(X0)))),
inference(superposition,[],[f164193,f422467]) ).
fof(f164193,plain,
! [X0,X1] : ld(X0,X1) = ld(mult(X1,X0),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164192,f19]) ).
fof(f19,plain,
! [X0] : ld(unit,X0) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f164192,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(unit,mult(X1,X0)),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164191,f49]) ).
fof(f49,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f4,f6]) ).
fof(f164191,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(rd(X0,X0),mult(X1,X0)),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164190,f71615]) ).
fof(f71615,plain,
! [X2,X0,X1] : ld(rd(ld(X0,X2),X1),X1) = ld(rd(X2,X1),mult(X0,X1)),
inference(superposition,[],[f381,f45287]) ).
fof(f45287,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(mult(X0,X1),ld(X1,rd(ld(X0,X2),X1))),
inference(forward_demodulation,[],[f45286,f88]) ).
fof(f45286,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(mult(X0,X1),ld(X1,rd(ld(X0,X2),X1))),
inference(forward_demodulation,[],[f45285,f3133]) ).
fof(f45285,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(mult(X0,X1),rd(mult(i(X1),ld(X0,X2)),X1)),
inference(forward_demodulation,[],[f45017,f88]) ).
fof(f45017,plain,
! [X2,X0,X1] : mult(X2,i(X1)) = mult(mult(X0,X1),mult(mult(i(X1),ld(X0,X2)),i(X1))),
inference(superposition,[],[f561,f8]) ).
fof(f381,plain,
! [X2,X0,X1] : ld(X2,X1) = ld(mult(X0,ld(X1,X2)),X0),
inference(superposition,[],[f2,f204]) ).
fof(f204,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,X1)),ld(X1,X0)) = X2,
inference(superposition,[],[f8,f108]) ).
fof(f164190,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(rd(ld(X1,X0),X0),X0),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164189,f2042]) ).
fof(f2042,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X2,X1)),X0) = ld(rd(ld(X1,X2),X0),X0),
inference(superposition,[],[f1446,f210]) ).
fof(f164189,plain,
! [X0,X1] : ld(X0,X1) = ld(mult(mult(X0,ld(X0,X1)),X0),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164188,f3283]) ).
fof(f164188,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(i(X0),mult(ld(X0,X1),X0)),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f164187,f94]) ).
fof(f164187,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(ld(mult(ld(X0,X1),X0),ld(X0,X1)),mult(ld(X0,X1),X0)),mult(X0,ld(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f162994,f2]) ).
fof(f162994,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(ld(mult(ld(X0,X1),X0),ld(X0,X1)),mult(ld(X0,X1),X0)),mult(ld(ld(X0,X1),mult(ld(X0,X1),X0)),ld(ld(X1,X0),X1))),
inference(superposition,[],[f67635,f4792]) ).
fof(f425754,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),X2) = ld(ld(X0,i(X2)),mult(X1,X2)),
inference(forward_demodulation,[],[f425224,f422566]) ).
fof(f422566,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(superposition,[],[f422467,f88]) ).
fof(f425224,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),X2) = ld(rd(i(X0),X2),mult(X1,X2)),
inference(superposition,[],[f50666,f422480]) ).
fof(f50666,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,X1)),X2) = ld(rd(X0,X2),mult(X1,X2)),
inference(superposition,[],[f15438,f1]) ).
fof(f15438,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = ld(rd(X0,X1),mult(mult(X0,X2),X1)),
inference(superposition,[],[f2,f515]) ).
fof(f506898,plain,
mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)),
inference(superposition,[],[f12,f424990]) ).
fof(f12,axiom,
mult(mult(a,b),mult(c,a)) != mult(mult(a,mult(b,c)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP748-4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n007.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 04:21:33 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (10245)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (10248)WARNING: value z3 for option sas not known
% 0.14/0.39 % (10248)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)
% 0.14/0.39 % (10250)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)
% 0.14/0.39 % (10247)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (10249)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (10252)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)
% 0.14/0.40 % (10251)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 % (10246)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [5]
% 0.22/0.44 TRYING [4]
% 0.22/0.45 TRYING [6]
% 0.22/0.51 TRYING [5]
% 0.22/0.55 TRYING [7]
% 2.42/0.77 TRYING [8]
% 2.82/0.82 TRYING [6]
% 5.84/1.24 TRYING [9]
% 7.63/1.49 TRYING [1]
% 7.63/1.49 TRYING [2]
% 7.63/1.50 TRYING [3]
% 7.63/1.50 TRYING [4]
% 7.94/1.52 TRYING [5]
% 8.22/1.58 TRYING [6]
% 9.26/1.74 TRYING [7]
% 11.24/2.04 TRYING [8]
% 16.51/2.80 TRYING [10]
% 18.51/3.04 TRYING [9]
% 19.71/3.24 TRYING [7]
% 37.17/5.76 TRYING [10]
% 45.73/6.96 TRYING [11]
% 96.81/14.31 TRYING [11]
% 126.13/18.55 TRYING [12]
% 131.31/19.28 TRYING [8]
% 132.37/19.44 % (10252)First to succeed.
% 132.90/19.48 % (10252)Refutation found. Thanks to Tanya!
% 132.90/19.48 % SZS status Unsatisfiable for theBenchmark
% 132.90/19.48 % SZS output start Proof for theBenchmark
% See solution above
% 132.90/19.48 % (10252)------------------------------
% 132.90/19.48 % (10252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 132.90/19.48 % (10252)Termination reason: Refutation
% 132.90/19.48
% 132.90/19.48 % (10252)Memory used [KB]: 118002
% 132.90/19.48 % (10252)Time elapsed: 19.064 s
% 132.90/19.48 % (10252)Instructions burned: 35902 (million)
% 132.90/19.48 % (10252)------------------------------
% 132.90/19.48 % (10252)------------------------------
% 132.90/19.48 % (10245)Success in time 19.008 s
%------------------------------------------------------------------------------