%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:07 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.78s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 8
% Syntax : Number of formulae : 109 ( 109 unt; 0 def)
% Number of atoms : 109 ( 108 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2] : ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2))) = mult(ld(X0,mult(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3)))) = mult(ld(X0,mult(X0,X2)),ld(X2,X3)),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f40,plain,
! [X0,X1,X2] : ld(X0,mult(X0,mult(X1,X2))) = mult(ld(X0,mult(X0,X1)),X2),
inference(forward_demodulation,[status(thm)],[f9,f27]) ).
fof(f50,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3)))) = ld(X0,mult(X0,mult(X2,ld(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f40,f31]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3)))) = ld(X0,mult(X0,ld(X2,mult(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f11,f50]) ).
fof(f67,plain,
! [X0,X1] : ld(X0,mult(X0,mult(X0,X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f9,f40]) ).
fof(f340,plain,
! [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,ld(X2,mult(X2,X2)))),
inference(paramodulation,[status(thm)],[f9,f51]) ).
fof(f399,plain,
! [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f9,f340]) ).
fof(f562,plain,
! [X0] : mult(X0,X0) = rd(mult(mult(X0,X0),X0),X0),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f613,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(ld(X0,X0),ld(X0,X0)),X0),X0),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f617,plain,
! [X0] : ld(X0,ld(X0,mult(X0,X0))) = rd(mult(rd(X0,X0),X0),X0),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f624,plain,
! [X0,X1] : mult(X0,rd(mult(rd(X0,X0),X1),X1)) = ld(X0,mult(X0,mult(X0,ld(X1,X1)))),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f627,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(X0,X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f9,f617]) ).
fof(f628,plain,
! [X0] : ld(X0,X0) = rd(rd(mult(X0,X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f12,f627]) ).
fof(f637,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(ld(X0,X0),rd(X0,X0)),X0),X0),
inference(backward_demodulation,[status(thm)],[f642,f613]) ).
fof(f642,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f10,f628]) ).
fof(f662,plain,
! [X0,X1] : mult(X0,rd(mult(rd(X0,X0),X1),X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f67,f624]) ).
fof(f663,plain,
! [X0,X1] : mult(X0,rd(mult(rd(X0,X0),X1),X1)) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f642,f662]) ).
fof(f670,plain,
! [X0] : rd(X0,X0) = rd(mult(rd(ld(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[status(thm)],[f642,f637]) ).
fof(f671,plain,
! [X0] : rd(X0,X0) = rd(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[status(thm)],[f642,f670]) ).
fof(f679,plain,
! [X0] : mult(X0,rd(X0,X0)) = ld(X0,mult(X0,X0)),
inference(paramodulation,[status(thm)],[f642,f11]) ).
fof(f687,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f9,f679]) ).
fof(f700,plain,
! [X0,X1] : ld(X0,mult(X0,mult(rd(X0,X0),X1))) = mult(ld(X0,X0),X1),
inference(paramodulation,[status(thm)],[f687,f40]) ).
fof(f714,plain,
! [X0,X1] : ld(X0,mult(X0,mult(rd(X0,X0),X1))) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f642,f700]) ).
fof(f716,plain,
! [X0] : mult(rd(X0,X0),X0) = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(paramodulation,[status(thm)],[f671,f12]) ).
fof(f717,plain,
! [X0] : rd(mult(X0,X0),X0) = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f12,f716]) ).
fof(f718,plain,
! [X0] : X0 = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f10,f717]) ).
fof(f772,plain,
! [X0] : mult(X0,rd(X0,X0)) = mult(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(paramodulation,[status(thm)],[f10,f663]) ).
fof(f775,plain,
! [X0] : mult(X0,rd(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0)))) = mult(X0,rd(rd(rd(X0,X0),rd(X0,X0)),rd(rd(X0,X0),rd(X0,X0)))),
inference(paramodulation,[status(thm)],[f687,f663]) ).
fof(f790,plain,
! [X0] : X0 = mult(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f687,f772]) ).
fof(f815,plain,
! [X0,X1,X2] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,rd(mult(rd(X0,X0),X2),X2)),
inference(paramodulation,[status(thm)],[f687,f14]) ).
fof(f818,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),rd(mult(mult(rd(rd(X2,X2),rd(X2,X2)),X2),X2),X2)) = mult(X0,rd(mult(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f718,f14]) ).
fof(f829,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(rd(rd(X0,X1),rd(X0,X1)),rd(rd(X0,X1),rd(X0,X1))),rd(mult(rd(X0,X1),X1),X1)),
inference(paramodulation,[status(thm)],[f14,f718]) ).
fof(f846,plain,
! [X0,X1,X2] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,rd(X2,X2)),
inference(forward_demodulation,[status(thm)],[f663,f815]) ).
fof(f850,plain,
! [X0,X1] : rd(mult(mult(X0,rd(X0,X0)),X1),X1) = mult(X0,rd(X1,X1)),
inference(backward_demodulation,[status(thm)],[f859,f663]) ).
fof(f859,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),X2) = mult(X0,rd(mult(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f718,f818]) ).
fof(f889,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(mult(rd(rd(rd(X0,X1),rd(X0,X1)),rd(rd(X0,X1),rd(X0,X1))),rd(X0,X1)),X1),X1),
inference(forward_demodulation,[status(thm)],[f859,f829]) ).
fof(f905,plain,
! [X0] : mult(X0,rd(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0)))) = rd(mult(X0,rd(rd(X0,X0),rd(X0,X0))),rd(rd(X0,X0),rd(X0,X0))),
inference(backward_demodulation,[status(thm)],[f911,f775]) ).
fof(f911,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f687,f850]) ).
fof(f948,plain,
! [X0] : mult(X0,rd(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0)))) = mult(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f846,f905]) ).
fof(f949,plain,
! [X0] : mult(X0,rd(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f790,f948]) ).
fof(f1094,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(mult(rd(mult(rd(X0,X0),X0),X0),rd(X0,X0)),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f911,f562]) ).
fof(f1192,plain,
! [X0] : rd(mult(rd(X0,X0),X0),X0) = rd(mult(rd(mult(rd(X0,X0),X0),X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f911,f1094]) ).
fof(f1193,plain,
! [X0] : rd(rd(mult(X0,X0),X0),X0) = rd(mult(rd(mult(rd(X0,X0),X0),X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f12,f1192]) ).
fof(f1194,plain,
! [X0] : rd(X0,X0) = rd(mult(rd(mult(rd(X0,X0),X0),X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10,f1193]) ).
fof(f1195,plain,
! [X0] : rd(X0,X0) = rd(rd(mult(rd(mult(rd(X0,X0),X0),X0),X0),X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f911,f1194]) ).
fof(f1196,plain,
! [X0] : rd(X0,X0) = rd(rd(rd(mult(mult(rd(X0,X0),X0),X0),X0),X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f12,f1195]) ).
fof(f1197,plain,
! [X0] : rd(X0,X0) = rd(rd(rd(mult(rd(mult(X0,X0),X0),X0),X0),X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f12,f1196]) ).
fof(f1198,plain,
! [X0] : rd(X0,X0) = rd(rd(rd(rd(mult(mult(X0,X0),X0),X0),X0),X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f12,f1197]) ).
fof(f1199,plain,
! [X0] : rd(X0,X0) = rd(rd(rd(mult(X0,X0),X0),X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f562,f1198]) ).
fof(f1203,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(mult(rd(rd(X0,X1),rd(X0,X1)),rd(X0,X1)),X1),X1),
inference(backward_demodulation,[status(thm)],[f1210,f889]) ).
fof(f1207,plain,
! [X0] : mult(X0,rd(rd(X0,X0),rd(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f1210,f949]) ).
fof(f1210,plain,
! [X0] : rd(X0,X0) = rd(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10,f1199]) ).
fof(f1230,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(rd(mult(rd(X0,X1),rd(X0,X1)),rd(X0,X1)),X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f1203]) ).
fof(f1231,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f10,f1230]) ).
fof(f1236,plain,
! [X0,X1] : rd(X0,X1) = rd(rd(mult(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f1231]) ).
fof(f1252,plain,
! [X0] : rd(mult(X0,rd(X0,X0)),rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f911,f1207]) ).
fof(f1253,plain,
! [X0] : rd(rd(mult(X0,X0),X0),rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f911,f1252]) ).
fof(f1255,plain,
! [X0] : rd(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f10,f1253]) ).
fof(f1272,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X1)),rd(X1,X1)) = mult(X0,rd(X1,X1)),
inference(paramodulation,[status(thm)],[f1210,f911]) ).
fof(f1278,plain,
! [X0,X1] : rd(rd(mult(X0,X1),X1),rd(X1,X1)) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f911,f1272]) ).
fof(f1282,plain,
! [X0,X1] : rd(rd(mult(X0,X1),X1),rd(X1,X1)) = rd(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f911,f1278]) ).
fof(f1295,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = rd(rd(rd(mult(X0,X1),X1),rd(X1,X1)),rd(X1,X1)),
inference(paramodulation,[status(thm)],[f911,f1236]) ).
fof(f1299,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = rd(rd(mult(X0,X1),X1),rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1282,f1295]) ).
fof(f1303,plain,
! [X0] : mult(X0,X0) = rd(mult(X0,X0),rd(X0,X0)),
inference(backward_demodulation,[status(thm)],[f1346,f562]) ).
fof(f1346,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = rd(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f1282,f1299]) ).
fof(f1461,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f1210,f1303]) ).
fof(f1467,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f1346,f1461]) ).
fof(f1468,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f1255,f1467]) ).
fof(f1472,plain,
! [X0] : ld(X0,mult(X0,rd(X0,X0))) = mult(rd(X0,X0),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f1468,f714]) ).
fof(f1490,plain,
! [X0] : ld(X0,mult(X0,rd(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f1468,f1472]) ).
fof(f1786,plain,
! [X0,X1] : ld(X0,X1) = ld(X0,mult(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f399]) ).
fof(f1789,plain,
! [X0,X1] : ld(rd(X0,X0),mult(ld(X0,mult(X0,rd(X0,X0))),X1)) = ld(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f1490,f399]) ).
fof(f1862,plain,
! [X0,X1] : ld(X0,X1) = ld(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f1786]) ).
fof(f1884,plain,
! [X0,X1] : ld(rd(X0,X0),ld(X0,mult(X0,mult(rd(X0,X0),X1)))) = ld(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f40,f1789]) ).
fof(f1886,plain,
! [X0,X1] : ld(rd(X0,X0),mult(rd(X0,X0),X1)) = ld(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f714,f1884]) ).
fof(f2051,plain,
! [X0,X1,X2] : ld(ld(X0,X1),X2) = ld(ld(X0,X1),ld(X0,mult(X0,X2))),
inference(paramodulation,[status(thm)],[f399,f1862]) ).
fof(f2139,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,X1)),mult(ld(rd(X0,X0),mult(rd(X0,X0),X1)),X2)) = ld(rd(X0,X0),mult(rd(X0,X0),X2)),
inference(paramodulation,[status(thm)],[f1886,f399]) ).
fof(f2140,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X0,mult(X0,X1))) = ld(rd(X0,X0),mult(rd(X0,X0),mult(rd(X0,X0),X1))),
inference(paramodulation,[status(thm)],[f1886,f11]) ).
fof(f2166,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,X1)),ld(rd(X0,X0),mult(rd(X0,X0),mult(X1,X2)))) = ld(rd(X0,X0),mult(rd(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f40,f2139]) ).
fof(f2167,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,mult(X1,X2)))) = ld(rd(X0,X0),mult(rd(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f1886,f2166]) ).
fof(f2168,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,X1)),mult(X1,X2)) = ld(rd(X0,X0),mult(rd(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f2051,f2167]) ).
fof(f2171,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,X1)),mult(X1,X2)) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1886,f2168]) ).
fof(f2172,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X0,mult(X0,X1))) = ld(X0,mult(X0,mult(rd(X0,X0),X1))),
inference(forward_demodulation,[status(thm)],[f1886,f2140]) ).
fof(f2173,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X0,mult(X0,X1))) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f714,f2172]) ).
fof(f2322,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X0,rd(X1,X1))),mult(rd(X1,X1),X2)) = ld(X0,mult(X0,ld(X1,mult(X1,X2)))),
inference(paramodulation,[status(thm)],[f2173,f2171]) ).
fof(f2361,plain,
! [X0,X1,X2] : ld(X0,mult(X0,X1)) = ld(X0,mult(X0,ld(X2,mult(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f2171,f2322]) ).
fof(f3172,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X0,X1))) = ld(X0,mult(X0,mult(X0,ld(X2,mult(X2,X1))))),
inference(paramodulation,[status(thm)],[f2361,f11]) ).
fof(f3231,plain,
! [X0,X1,X2] : ld(X0,mult(X0,mult(X0,X1))) = ld(X0,mult(X0,mult(X0,ld(X2,mult(X2,X1))))),
inference(forward_demodulation,[status(thm)],[f11,f3172]) ).
fof(f3232,plain,
! [X0,X1,X2] : mult(X0,X1) = ld(X0,mult(X0,mult(X0,ld(X2,mult(X2,X1))))),
inference(forward_demodulation,[status(thm)],[f67,f3231]) ).
fof(f3233,plain,
mult(x3,x5) != mult(x3,x5),
inference(backward_demodulation,[status(thm)],[f3246,f16]) ).
fof(f3246,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X0,ld(X2,mult(X2,X1))),
inference(forward_demodulation,[status(thm)],[f67,f3232]) ).
fof(f3256,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f3233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n018.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 20:34:57 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.27/0.78 % Refutation found
% 0.27/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.82 % Elapsed time: 0.359973 seconds
% 0.27/0.82 % CPU time: 2.390217 seconds
% 0.27/0.82 % Total memory used: 50.776 MB
% 0.27/0.82 % Net memory used: 48.922 MB
%------------------------------------------------------------------------------