%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 07:31:12 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 8
% Syntax : Number of formulae : 223 ( 223 unt; 0 def)
% Number of atoms : 223 ( 222 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 8 ( 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 : 555 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [VAR_0] : ld(VAR_0,mult(VAR_0,VAR_0)) = VAR_0,
file('theBenchmark.p',f01) ).
cnf(c_1,plain,
ld(A,mult(A,A)) = A,
inference(clausify,[status(thm)],[f01]) ).
fof(f02,axiom,
! [VAR_0] : rd(mult(VAR_0,VAR_0),VAR_0) = VAR_0,
file('theBenchmark.p',f02) ).
cnf(c_2,plain,
rd(mult(A,A),A) = A,
inference(clausify,[status(thm)],[f02]) ).
fof(f03,axiom,
! [VAR_0,VAR_1] : mult(VAR_0,ld(VAR_0,VAR_1)) = ld(VAR_0,mult(VAR_0,VAR_1)),
file('theBenchmark.p',f03) ).
cnf(c_3,plain,
mult(A,ld(A,B)) = ld(A,mult(A,B)),
inference(clausify,[status(thm)],[f03]) ).
cnf(c_4,plain,
ld(A,mult(A,B)) = mult(A,ld(A,B)),
inference(copy,[status(thm)],[c_3]) ).
fof(f04,axiom,
! [VAR_0,VAR_1] : mult(rd(VAR_0,VAR_1),VAR_1) = rd(mult(VAR_0,VAR_1),VAR_1),
file('theBenchmark.p',f04) ).
cnf(c_5,plain,
mult(rd(A,B),B) = rd(mult(A,B),B),
inference(clausify,[status(thm)],[f04]) ).
cnf(c_6,plain,
rd(mult(A,B),B) = mult(rd(A,B),B),
inference(copy,[status(thm)],[c_5]) ).
fof(f05,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : ld(ld(VAR_0,VAR_1),mult(ld(VAR_0,VAR_1),mult(VAR_2,VAR_3))) = mult(ld(VAR_0,mult(VAR_0,VAR_2)),VAR_3),
file('theBenchmark.p',f05) ).
cnf(c_7,plain,
ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(clausify,[status(thm)],[f05]) ).
cnf(c_540,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_7]) ).
cnf(c_8,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_540]) ).
fof(f06,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : rd(mult(mult(VAR_0,VAR_1),rd(VAR_2,VAR_3)),rd(VAR_2,VAR_3)) = mult(VAR_0,rd(mult(VAR_1,VAR_3),VAR_3)),
file('theBenchmark.p',f06) ).
cnf(c_9,plain,
rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(clausify,[status(thm)],[f06]) ).
cnf(c_541,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(paramod,[status(thm)],[c_6,c_9]) ).
cnf(c_10,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)),
inference(paramod,[status(thm)],[c_6,c_541]) ).
fof(f07,axiom,
! [VAR_0,VAR_1] : ld(VAR_0,mult(VAR_0,ld(VAR_1,VAR_1))) = rd(mult(rd(VAR_0,VAR_0),VAR_1),VAR_1),
file('theBenchmark.p',f07) ).
cnf(c_11,plain,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
inference(clausify,[status(thm)],[f07]) ).
cnf(c_542,plain,
mult(A,ld(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
inference(paramod,[status(thm)],[c_4,c_11]) ).
cnf(c_543,plain,
mult(A,ld(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
inference(paramod,[status(thm)],[c_6,c_542]) ).
cnf(c_12,plain,
mult(rd(rd(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(copy,[status(thm)],[c_543]) ).
fof(goal,axiom,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('theBenchmark.p',goal) ).
cnf(c_13,plain,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(clausify,[status(thm)],[goal]) ).
cnf(c_544,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(paramod,[status(thm)],[c_6,c_13]) ).
cnf(c_14,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(rd(x6,x8),x8),
inference(paramod,[status(thm)],[c_6,c_544]) ).
cnf(c_15,plain,
mult(A,ld(A,A)) = A,
inference(paramod,[status(thm)],[c_4,c_1]) ).
cnf(c_16,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_6,c_2]) ).
cnf(c_545,plain,
ld(ld(A,B),mult(mult(A,ld(A,C)),D)) = mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))),
inference(paramod,[status(thm)],[c_8,c_4]) ).
cnf(c_17,plain,
mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))) = ld(ld(A,B),mult(mult(A,ld(A,C)),D)),
inference(copy,[status(thm)],[c_545]) ).
cnf(c_546,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_8]) ).
cnf(c_18,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_546]) ).
cnf(c_547,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_33,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
inference(copy,[status(thm)],[c_547]) ).
cnf(c_548,plain,
rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
inference(paramod,[status(thm)],[c_15,c_6]) ).
cnf(c_34,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
inference(copy,[status(thm)],[c_548]) ).
cnf(c_36,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(rd(ld(A,A),C),C)),
inference(paramod,[status(thm)],[c_15,c_10]) ).
cnf(c_549,plain,
rd(A,A) = mult(rd(rd(A,A),A),A),
inference(paramod,[status(thm)],[c_16,c_6]) ).
cnf(c_550,plain,
rd(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_12,c_549]) ).
cnf(c_38,plain,
rd(A,A) = ld(A,A),
inference(paramod,[status(thm)],[c_33,c_550]) ).
cnf(c_551,plain,
rd(mult(A,A),A) = A,
inference(paramod,[status(thm)],[c_16,c_6]) ).
cnf(c_552,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_6,c_551]) ).
cnf(c_39,plain,
mult(ld(A,A),A) = A,
inference(paramod,[status(thm)],[c_38,c_552]) ).
cnf(c_553,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,rd(C,C))),C),
inference(paramod,[status(thm)],[c_16,c_8]) ).
cnf(c_40,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,ld(C,C))),C),
inference(paramod,[status(thm)],[c_38,c_553]) ).
cnf(c_48,plain,
mult(rd(ld(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_38,c_12]) ).
cnf(c_49,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(A,ld(A,ld(C,C)))),
inference(paramod,[status(thm)],[c_48,c_36]) ).
cnf(c_554,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_17]) ).
cnf(c_555,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_554]) ).
cnf(c_556,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_555]) ).
cnf(c_50,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_556]) ).
cnf(c_557,plain,
mult(rd(mult(A,B),ld(C,C)),rd(C,C)) = mult(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_38,c_10]) ).
cnf(c_53,plain,
mult(rd(mult(A,B),ld(C,C)),ld(C,C)) = mult(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_38,c_557]) ).
cnf(c_558,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,mult(rd(ld(A,A),B),B)),
inference(paramod,[status(thm)],[c_15,c_53]) ).
cnf(c_70,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,mult(A,ld(A,ld(B,B)))),
inference(paramod,[status(thm)],[c_48,c_558]) ).
cnf(c_559,plain,
mult(A,ld(mult(A,ld(A,A)),mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_560,plain,
mult(A,ld(A,mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_15,c_559]) ).
cnf(c_81,plain,
mult(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,C))),
inference(copy,[status(thm)],[c_560]) ).
cnf(c_561,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_562,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_81,c_561]) ).
cnf(c_563,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,mult(C,ld(C,C)))),
inference(paramod,[status(thm)],[c_81,c_562]) ).
cnf(c_82,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_15,c_563]) ).
cnf(c_564,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_565,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),mult(A,C))))) = mult(A,C),
inference(paramod,[status(thm)],[c_81,c_564]) ).
cnf(c_566,plain,
mult(A,ld(A,mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_82,c_565]) ).
cnf(c_83,plain,
mult(A,mult(A,ld(A,B))) = mult(A,B),
inference(paramod,[status(thm)],[c_4,c_566]) ).
cnf(c_567,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_81,c_50]) ).
cnf(c_568,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_82,c_567]) ).
cnf(c_569,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))),
inference(paramod,[status(thm)],[c_81,c_568]) ).
cnf(c_98,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))) = mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))),
inference(copy,[status(thm)],[c_569]) ).
cnf(c_570,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,mult(ld(C,C),C))),
inference(paramod,[status(thm)],[c_81,c_40]) ).
cnf(c_99,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_39,c_570]) ).
cnf(c_104,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_83,c_70]) ).
cnf(c_105,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_83,c_49]) ).
cnf(c_114,plain,
mult(mult(A,B),ld(C,C)) = mult(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_104,c_53]) ).
cnf(c_571,plain,
mult(A,ld(A,A)) = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_104,c_34]) ).
cnf(c_572,plain,
A = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_15,c_571]) ).
cnf(c_115,plain,
rd(A,ld(A,A)) = A,
inference(copy,[status(thm)],[c_572]) ).
cnf(c_573,plain,
ld(rd(A,ld(B,B)),mult(A,ld(B,B))) = mult(rd(A,ld(B,B)),ld(rd(A,ld(B,B)),ld(B,B))),
inference(paramod,[status(thm)],[c_104,c_4]) ).
cnf(c_121,plain,
mult(rd(A,ld(B,B)),ld(rd(A,ld(B,B)),ld(B,B))) = ld(rd(A,ld(B,B)),mult(A,ld(B,B))),
inference(copy,[status(thm)],[c_573]) ).
cnf(c_574,plain,
mult(ld(ld(A,A),ld(A,A)),ld(A,A)) = mult(ld(A,A),ld(A,A)),
inference(paramod,[status(thm)],[c_38,c_104]) ).
cnf(c_575,plain,
ld(A,A) = mult(ld(A,A),ld(A,A)),
inference(paramod,[status(thm)],[c_39,c_574]) ).
cnf(c_122,plain,
mult(ld(A,A),ld(A,A)) = ld(A,A),
inference(copy,[status(thm)],[c_575]) ).
cnf(c_576,plain,
ld(ld(A,A),ld(A,A)) = mult(ld(A,A),ld(ld(A,A),ld(A,A))),
inference(paramod,[status(thm)],[c_122,c_4]) ).
cnf(c_126,plain,
ld(ld(A,A),ld(A,A)) = ld(A,A),
inference(paramod,[status(thm)],[c_15,c_576]) ).
cnf(c_577,plain,
rd(mult(A,B),mult(A,ld(A,B))) = mult(rd(A,mult(A,ld(A,B))),mult(A,ld(A,B))),
inference(paramod,[status(thm)],[c_83,c_6]) ).
cnf(c_130,plain,
mult(rd(A,mult(A,ld(A,B))),mult(A,ld(A,B))) = rd(mult(A,B),mult(A,ld(A,B))),
inference(copy,[status(thm)],[c_577]) ).
cnf(c_578,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_81,c_4]) ).
cnf(c_579,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_98,c_578]) ).
cnf(c_580,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))),
inference(paramod,[status(thm)],[c_81,c_579]) ).
cnf(c_139,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_82,c_580]) ).
cnf(c_581,plain,
mult(mult(A,ld(A,B)),ld(B,B)) = mult(A,ld(A,B)),
inference(paramod,[status(thm)],[c_15,c_81]) ).
cnf(c_142,plain,
mult(A,mult(rd(ld(A,B),B),B)) = mult(A,ld(A,B)),
inference(paramod,[status(thm)],[c_114,c_581]) ).
cnf(c_582,plain,
mult(rd(mult(A,ld(A,B)),ld(C,C)),ld(C,C)) = mult(A,ld(A,mult(B,ld(C,C)))),
inference(paramod,[status(thm)],[c_81,c_104]) ).
cnf(c_583,plain,
mult(mult(A,ld(A,B)),ld(C,C)) = mult(A,ld(A,mult(B,ld(C,C)))),
inference(paramod,[status(thm)],[c_104,c_582]) ).
cnf(c_584,plain,
mult(A,mult(rd(ld(A,B),C),C)) = mult(A,ld(A,mult(B,ld(C,C)))),
inference(paramod,[status(thm)],[c_114,c_583]) ).
cnf(c_143,plain,
mult(A,ld(A,mult(B,ld(C,C)))) = mult(A,mult(rd(ld(A,B),C),C)),
inference(copy,[status(thm)],[c_584]) ).
cnf(c_151,plain,
mult(A,ld(A,ld(A,B))) = ld(A,B),
inference(paramod,[status(thm)],[c_99,c_15]) ).
cnf(c_585,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C))))),
inference(paramod,[status(thm)],[c_151,c_81]) ).
cnf(c_586,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,ld(mult(A,ld(A,B)),C))),
inference(paramod,[status(thm)],[c_82,c_585]) ).
cnf(c_157,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),C))) = ld(mult(A,ld(A,B)),C),
inference(copy,[status(thm)],[c_586]) ).
cnf(c_159,plain,
ld(mult(A,ld(A,B)),mult(B,C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_157,c_139]) ).
cnf(c_587,plain,
ld(mult(A,mult(A,ld(A,B))),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_4,c_159]) ).
cnf(c_588,plain,
ld(mult(A,B),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_83,c_587]) ).
cnf(c_162,plain,
mult(mult(A,B),ld(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_4,c_588]) ).
cnf(c_163,plain,
ld(mult(A,ld(A,B)),B) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_15,c_159]) ).
cnf(c_589,plain,
ld(mult(A,ld(A,B)),mult(B,C)) = mult(A,ld(A,mult(B,ld(B,C)))),
inference(paramod,[status(thm)],[c_83,c_159]) ).
cnf(c_590,plain,
mult(A,ld(A,C)) = mult(A,ld(A,mult(B,ld(B,C)))),
inference(paramod,[status(thm)],[c_159,c_589]) ).
cnf(c_167,plain,
mult(A,ld(A,mult(B,ld(B,C)))) = mult(A,ld(A,C)),
inference(copy,[status(thm)],[c_590]) ).
cnf(c_591,plain,
mult(rd(A,mult(rd(B,C),C)),rd(mult(B,C),C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_6,c_105]) ).
cnf(c_173,plain,
mult(rd(A,mult(rd(B,C),C)),mult(rd(B,C),C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_6,c_591]) ).
cnf(c_592,plain,
mult(ld(rd(A,B),rd(A,B)),rd(A,B)) = mult(rd(A,B),ld(B,B)),
inference(paramod,[status(thm)],[c_38,c_105]) ).
cnf(c_593,plain,
rd(A,B) = mult(rd(A,B),ld(B,B)),
inference(paramod,[status(thm)],[c_39,c_592]) ).
cnf(c_174,plain,
mult(rd(A,B),ld(B,B)) = rd(A,B),
inference(copy,[status(thm)],[c_593]) ).
cnf(c_594,plain,
mult(rd(A,B),rd(B,ld(B,B))) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_115,c_105]) ).
cnf(c_595,plain,
mult(rd(A,B),B) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_115,c_594]) ).
cnf(c_175,plain,
mult(rd(A,B),B) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_126,c_595]) ).
cnf(c_596,plain,
mult(rd(A,mult(B,ld(C,C))),mult(rd(B,C),C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_175,c_173]) ).
cnf(c_597,plain,
mult(rd(A,mult(B,ld(C,C))),mult(B,ld(C,C))) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_175,c_596]) ).
cnf(c_184,plain,
mult(A,ld(mult(B,ld(C,C)),mult(B,ld(C,C)))) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_175,c_597]) ).
cnf(c_191,plain,
mult(A,ld(A,mult(B,ld(C,C)))) = mult(A,mult(ld(A,B),ld(C,C))),
inference(paramod,[status(thm)],[c_175,c_143]) ).
cnf(c_192,plain,
mult(A,mult(ld(A,B),ld(B,B))) = mult(A,ld(A,B)),
inference(paramod,[status(thm)],[c_175,c_142]) ).
cnf(c_196,plain,
mult(A,ld(mult(A,ld(A,B)),mult(A,ld(A,B)))) = rd(mult(A,B),mult(A,ld(A,B))),
inference(paramod,[status(thm)],[c_175,c_130]) ).
cnf(c_202,plain,
mult(mult(A,B),ld(C,C)) = mult(A,mult(B,ld(C,C))),
inference(paramod,[status(thm)],[c_175,c_114]) ).
cnf(c_598,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(rd(x6,x8),x8),
inference(paramod,[status(thm)],[c_175,c_14]) ).
cnf(c_212,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
inference(paramod,[status(thm)],[c_175,c_598]) ).
cnf(c_213,plain,
rd(mult(A,B),B) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_175,c_6]) ).
cnf(c_599,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = rd(A,ld(B,B)),
inference(paramod,[status(thm)],[c_126,c_174]) ).
cnf(c_600,plain,
mult(A,ld(ld(B,B),ld(B,B))) = rd(A,ld(B,B)),
inference(paramod,[status(thm)],[c_175,c_599]) ).
cnf(c_601,plain,
mult(A,ld(B,B)) = rd(A,ld(B,B)),
inference(paramod,[status(thm)],[c_126,c_600]) ).
cnf(c_224,plain,
rd(A,ld(B,B)) = mult(A,ld(B,B)),
inference(copy,[status(thm)],[c_601]) ).
cnf(c_602,plain,
mult(mult(A,ld(B,B)),ld(rd(A,ld(B,B)),ld(B,B))) = ld(rd(A,ld(B,B)),mult(A,ld(B,B))),
inference(paramod,[status(thm)],[c_224,c_121]) ).
cnf(c_603,plain,
mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),ld(B,B))) = ld(rd(A,ld(B,B)),mult(A,ld(B,B))),
inference(paramod,[status(thm)],[c_224,c_602]) ).
cnf(c_604,plain,
mult(A,ld(A,ld(B,B))) = ld(rd(A,ld(B,B)),mult(A,ld(B,B))),
inference(paramod,[status(thm)],[c_162,c_603]) ).
cnf(c_605,plain,
mult(A,ld(A,ld(B,B))) = ld(mult(A,ld(B,B)),mult(A,ld(B,B))),
inference(paramod,[status(thm)],[c_224,c_604]) ).
cnf(c_230,plain,
ld(mult(A,ld(B,B)),mult(A,ld(B,B))) = mult(A,ld(A,ld(B,B))),
inference(copy,[status(thm)],[c_605]) ).
cnf(c_231,plain,
mult(A,mult(B,ld(B,ld(C,C)))) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_230,c_184]) ).
cnf(c_233,plain,
ld(rd(A,B),mult(A,ld(B,B))) = mult(rd(A,B),ld(rd(A,B),B)),
inference(paramod,[status(thm)],[c_175,c_4]) ).
cnf(c_606,plain,
rd(mult(rd(A,B),B),B) = rd(A,B),
inference(paramod,[status(thm)],[c_174,c_213]) ).
cnf(c_235,plain,
rd(mult(A,ld(B,B)),B) = rd(A,B),
inference(paramod,[status(thm)],[c_175,c_606]) ).
cnf(c_607,plain,
ld(mult(rd(A,B),mult(rd(A,B),ld(rd(A,B),B))),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_233,c_159]) ).
cnf(c_608,plain,
ld(mult(rd(A,B),B),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_83,c_607]) ).
cnf(c_609,plain,
ld(mult(A,ld(B,B)),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_175,c_608]) ).
cnf(c_610,plain,
mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_4,c_609]) ).
cnf(c_611,plain,
mult(A,ld(A,C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_162,c_610]) ).
cnf(c_284,plain,
mult(rd(A,B),ld(rd(A,B),C)) = mult(A,ld(A,C)),
inference(copy,[status(thm)],[c_611]) ).
cnf(c_288,plain,
ld(rd(A,B),mult(A,ld(B,B))) = mult(A,ld(A,B)),
inference(paramod,[status(thm)],[c_284,c_233]) ).
cnf(c_612,plain,
mult(rd(A,B),mult(rd(A,B),ld(rd(A,B),C))) = mult(A,ld(A,mult(rd(A,B),C))),
inference(paramod,[status(thm)],[c_4,c_284]) ).
cnf(c_292,plain,
mult(rd(A,B),mult(A,ld(A,C))) = mult(A,ld(A,mult(rd(A,B),C))),
inference(paramod,[status(thm)],[c_284,c_612]) ).
cnf(c_613,plain,
mult(rd(A,B),mult(A,ld(A,C))) = mult(rd(A,B),C),
inference(paramod,[status(thm)],[c_284,c_83]) ).
cnf(c_294,plain,
mult(A,ld(A,mult(rd(A,B),C))) = mult(rd(A,B),C),
inference(paramod,[status(thm)],[c_292,c_613]) ).
cnf(c_302,plain,
mult(rd(A,B),mult(A,ld(A,C))) = mult(rd(A,B),C),
inference(paramod,[status(thm)],[c_294,c_292]) ).
cnf(c_614,plain,
ld(mult(A,B),mult(A,ld(A,C))) = mult(mult(A,B),ld(mult(A,B),ld(mult(A,B),C))),
inference(paramod,[status(thm)],[c_162,c_4]) ).
cnf(c_370,plain,
ld(mult(A,B),mult(A,ld(A,C))) = ld(mult(A,B),C),
inference(paramod,[status(thm)],[c_151,c_614]) ).
cnf(c_615,plain,
mult(A,ld(mult(A,ld(A,B)),B)) = rd(mult(A,B),mult(A,ld(A,B))),
inference(paramod,[status(thm)],[c_370,c_196]) ).
cnf(c_616,plain,
mult(A,mult(A,ld(A,ld(B,B)))) = rd(mult(A,B),mult(A,ld(A,B))),
inference(paramod,[status(thm)],[c_163,c_615]) ).
cnf(c_617,plain,
mult(A,ld(B,B)) = rd(mult(A,B),mult(A,ld(A,B))),
inference(paramod,[status(thm)],[c_83,c_616]) ).
cnf(c_386,plain,
rd(mult(A,B),mult(A,ld(A,B))) = mult(A,ld(B,B)),
inference(copy,[status(thm)],[c_617]) ).
cnf(c_618,plain,
rd(mult(A,ld(mult(B,ld(B,C)),C)),mult(B,ld(B,C))) = rd(A,mult(B,ld(B,C))),
inference(paramod,[status(thm)],[c_370,c_235]) ).
cnf(c_619,plain,
rd(mult(A,mult(B,ld(B,ld(C,C)))),mult(B,ld(B,C))) = rd(A,mult(B,ld(B,C))),
inference(paramod,[status(thm)],[c_163,c_618]) ).
cnf(c_399,plain,
rd(mult(A,ld(B,B)),mult(C,ld(C,B))) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_231,c_619]) ).
cnf(c_620,plain,
rd(mult(rd(A,B),B),mult(rd(A,B),ld(rd(A,B),B))) = rd(A,B),
inference(paramod,[status(thm)],[c_174,c_386]) ).
cnf(c_621,plain,
rd(mult(A,ld(B,B)),mult(rd(A,B),ld(rd(A,B),B))) = rd(A,B),
inference(paramod,[status(thm)],[c_175,c_620]) ).
cnf(c_622,plain,
rd(mult(A,ld(B,B)),mult(A,ld(A,B))) = rd(A,B),
inference(paramod,[status(thm)],[c_284,c_621]) ).
cnf(c_408,plain,
rd(A,mult(A,ld(A,B))) = rd(A,B),
inference(paramod,[status(thm)],[c_399,c_622]) ).
cnf(c_415,plain,
rd(mult(A,B),mult(A,ld(A,C))) = rd(mult(A,B),C),
inference(paramod,[status(thm)],[c_162,c_408]) ).
cnf(c_623,plain,
rd(mult(A,ld(mult(B,ld(C,C)),mult(B,ld(C,C)))),mult(rd(B,C),mult(B,ld(B,C)))) = rd(A,mult(rd(B,C),ld(rd(B,C),mult(B,ld(C,C))))),
inference(paramod,[status(thm)],[c_288,c_399]) ).
cnf(c_624,plain,
rd(mult(A,mult(B,ld(B,ld(C,C)))),mult(rd(B,C),mult(B,ld(B,C)))) = rd(A,mult(rd(B,C),ld(rd(B,C),mult(B,ld(C,C))))),
inference(paramod,[status(thm)],[c_230,c_623]) ).
cnf(c_625,plain,
rd(mult(A,ld(C,C)),mult(rd(B,C),mult(B,ld(B,C)))) = rd(A,mult(rd(B,C),ld(rd(B,C),mult(B,ld(C,C))))),
inference(paramod,[status(thm)],[c_231,c_624]) ).
cnf(c_626,plain,
rd(mult(A,ld(C,C)),mult(rd(B,C),C)) = rd(A,mult(rd(B,C),ld(rd(B,C),mult(B,ld(C,C))))),
inference(paramod,[status(thm)],[c_302,c_625]) ).
cnf(c_627,plain,
rd(mult(A,ld(C,C)),mult(B,ld(C,C))) = rd(A,mult(rd(B,C),ld(rd(B,C),mult(B,ld(C,C))))),
inference(paramod,[status(thm)],[c_175,c_626]) ).
cnf(c_628,plain,
rd(mult(A,ld(C,C)),mult(B,ld(C,C))) = rd(A,mult(rd(B,C),mult(B,ld(B,C)))),
inference(paramod,[status(thm)],[c_288,c_627]) ).
cnf(c_629,plain,
rd(mult(A,ld(C,C)),mult(B,ld(C,C))) = rd(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_302,c_628]) ).
cnf(c_456,plain,
rd(mult(A,ld(B,B)),mult(C,ld(B,B))) = rd(A,mult(C,ld(B,B))),
inference(paramod,[status(thm)],[c_175,c_629]) ).
cnf(c_630,plain,
rd(mult(A,ld(B,B)),mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),mult(C,ld(C,B))))) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_399,c_408]) ).
cnf(c_631,plain,
rd(mult(A,ld(B,B)),mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),B))) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_167,c_630]) ).
cnf(c_632,plain,
rd(mult(A,ld(B,B)),mult(A,ld(A,B))) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_162,c_631]) ).
cnf(c_633,plain,
rd(mult(A,ld(B,B)),B) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_415,c_632]) ).
cnf(c_634,plain,
rd(A,B) = rd(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_235,c_633]) ).
cnf(c_458,plain,
rd(A,mult(B,ld(B,C))) = rd(A,C),
inference(copy,[status(thm)],[c_634]) ).
cnf(c_635,plain,
rd(mult(A,ld(B,B)),mult(C,ld(C,mult(D,ld(B,B))))) = rd(A,mult(mult(C,ld(C,D)),ld(B,B))),
inference(paramod,[status(thm)],[c_81,c_456]) ).
cnf(c_636,plain,
rd(mult(A,ld(B,B)),mult(C,mult(ld(C,D),ld(B,B)))) = rd(A,mult(mult(C,ld(C,D)),ld(B,B))),
inference(paramod,[status(thm)],[c_191,c_635]) ).
cnf(c_473,plain,
rd(mult(A,ld(B,B)),mult(C,mult(ld(C,D),ld(B,B)))) = rd(A,mult(C,mult(ld(C,D),ld(B,B)))),
inference(paramod,[status(thm)],[c_202,c_636]) ).
cnf(c_637,plain,
rd(mult(A,ld(B,B)),mult(C,ld(C,mult(D,ld(B,B))))) = rd(A,mult(D,ld(B,B))),
inference(paramod,[status(thm)],[c_456,c_458]) ).
cnf(c_638,plain,
rd(mult(A,ld(B,B)),mult(C,mult(ld(C,D),ld(B,B)))) = rd(A,mult(D,ld(B,B))),
inference(paramod,[status(thm)],[c_191,c_637]) ).
cnf(c_478,plain,
rd(A,mult(B,mult(ld(B,C),ld(D,D)))) = rd(A,mult(C,ld(D,D))),
inference(paramod,[status(thm)],[c_473,c_638]) ).
cnf(c_639,plain,
ld(A,mult(A,ld(A,B))) = mult(A,ld(A,ld(A,mult(C,ld(C,B))))),
inference(paramod,[status(thm)],[c_167,c_4]) ).
cnf(c_640,plain,
mult(A,ld(A,ld(A,B))) = mult(A,ld(A,ld(A,mult(C,ld(C,B))))),
inference(paramod,[status(thm)],[c_4,c_639]) ).
cnf(c_641,plain,
ld(A,B) = mult(A,ld(A,ld(A,mult(C,ld(C,B))))),
inference(paramod,[status(thm)],[c_151,c_640]) ).
cnf(c_642,plain,
ld(A,B) = ld(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_151,c_641]) ).
cnf(c_488,plain,
ld(A,mult(B,ld(B,C))) = ld(A,C),
inference(copy,[status(thm)],[c_642]) ).
cnf(c_643,plain,
mult(A,mult(A,ld(A,B))) = mult(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_167,c_83]) ).
cnf(c_644,plain,
mult(A,B) = mult(A,mult(C,ld(C,B))),
inference(paramod,[status(thm)],[c_83,c_643]) ).
cnf(c_489,plain,
mult(A,mult(B,ld(B,C))) = mult(A,C),
inference(copy,[status(thm)],[c_644]) ).
cnf(c_645,plain,
ld(mult(A,ld(A,B)),mult(B,ld(B,C))) = mult(A,ld(A,ld(B,mult(D,ld(D,C))))),
inference(paramod,[status(thm)],[c_167,c_159]) ).
cnf(c_646,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,ld(B,mult(D,ld(D,C))))),
inference(paramod,[status(thm)],[c_488,c_645]) ).
cnf(c_490,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,ld(B,C))),
inference(paramod,[status(thm)],[c_488,c_646]) ).
cnf(c_647,plain,
ld(A,mult(A,ld(A,B))) = mult(A,ld(A,mult(ld(A,B),ld(B,B)))),
inference(paramod,[status(thm)],[c_192,c_4]) ).
cnf(c_648,plain,
mult(A,ld(A,ld(A,B))) = mult(A,ld(A,mult(ld(A,B),ld(B,B)))),
inference(paramod,[status(thm)],[c_4,c_647]) ).
cnf(c_649,plain,
ld(A,B) = mult(A,ld(A,mult(ld(A,B),ld(B,B)))),
inference(paramod,[status(thm)],[c_151,c_648]) ).
cnf(c_650,plain,
ld(A,B) = mult(A,mult(ld(A,ld(A,B)),ld(B,B))),
inference(paramod,[status(thm)],[c_191,c_649]) ).
cnf(c_492,plain,
mult(A,mult(ld(A,ld(A,B)),ld(B,B))) = ld(A,B),
inference(copy,[status(thm)],[c_650]) ).
cnf(c_651,plain,
rd(mult(A,ld(A,B)),mult(ld(A,B),ld(B,B))) = mult(A,ld(mult(ld(A,B),ld(B,B)),mult(ld(A,B),ld(B,B)))),
inference(paramod,[status(thm)],[c_192,c_213]) ).
cnf(c_652,plain,
rd(mult(A,ld(A,B)),mult(ld(A,B),ld(B,B))) = mult(A,mult(ld(A,B),ld(ld(A,B),ld(B,B)))),
inference(paramod,[status(thm)],[c_230,c_651]) ).
cnf(c_653,plain,
rd(mult(A,ld(A,B)),mult(ld(A,B),ld(B,B))) = mult(A,mult(A,ld(A,ld(B,B)))),
inference(paramod,[status(thm)],[c_99,c_652]) ).
cnf(c_495,plain,
rd(mult(A,ld(A,B)),mult(ld(A,B),ld(B,B))) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_489,c_653]) ).
cnf(c_654,plain,
rd(mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))),mult(ld(mult(A,ld(A,B)),C),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_81,c_495]) ).
cnf(c_655,plain,
rd(mult(A,ld(A,mult(B,mult(A,ld(A,ld(B,C)))))),mult(ld(mult(A,ld(A,B)),C),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_490,c_654]) ).
cnf(c_656,plain,
rd(mult(A,ld(A,mult(B,ld(B,C)))),mult(ld(mult(A,ld(A,B)),C),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_489,c_655]) ).
cnf(c_657,plain,
rd(mult(A,ld(A,C)),mult(ld(mult(A,ld(A,B)),C),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_488,c_656]) ).
cnf(c_658,plain,
rd(mult(A,ld(A,C)),mult(mult(A,ld(A,ld(B,C))),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_490,c_657]) ).
cnf(c_659,plain,
rd(mult(A,ld(A,C)),mult(A,mult(ld(A,ld(B,C)),ld(C,C)))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_202,c_658]) ).
cnf(c_660,plain,
rd(mult(A,ld(A,C)),mult(ld(B,C),ld(C,C))) = mult(mult(A,ld(A,B)),ld(C,C)),
inference(paramod,[status(thm)],[c_478,c_659]) ).
cnf(c_506,plain,
rd(mult(A,ld(A,B)),mult(ld(C,B),ld(B,B))) = mult(A,mult(ld(A,C),ld(B,B))),
inference(paramod,[status(thm)],[c_202,c_660]) ).
cnf(c_661,plain,
rd(mult(A,ld(A,B)),mult(ld(ld(A,C),B),ld(B,B))) = mult(ld(A,C),ld(B,B)),
inference(paramod,[status(thm)],[c_99,c_495]) ).
cnf(c_507,plain,
mult(A,mult(ld(A,ld(A,B)),ld(C,C))) = mult(ld(A,B),ld(C,C)),
inference(paramod,[status(thm)],[c_506,c_661]) ).
cnf(c_515,plain,
mult(ld(A,B),ld(B,B)) = ld(A,B),
inference(paramod,[status(thm)],[c_507,c_492]) ).
cnf(c_662,plain,
ld(ld(A,B),ld(A,B)) = mult(ld(A,B),ld(ld(A,B),ld(B,B))),
inference(paramod,[status(thm)],[c_515,c_4]) ).
cnf(c_531,plain,
ld(ld(A,B),ld(A,B)) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_99,c_662]) ).
cnf(c_663,plain,
mult(x6,mult(x7,ld(x7,ld(x8,x8)))) != mult(x6,ld(x8,x8)),
inference(paramod,[status(thm)],[c_531,c_212]) ).
cnf(c_664,plain,
mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8)),
inference(paramod,[status(thm)],[c_489,c_663]) ).
cnf(c_539,plain,
$false,
inference(copy,[status(thm)],[c_664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 15:37:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 583106 was started by sandbox on n014,
% 0.09/0.36 % Fri Sep 25 15:37:03 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.48
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.48
% 0.13/0.48 % Proof 1 at 0.07 (+ 0.02) seconds.
% 0.13/0.48 % Length of proof is 90.
% 0.13/0.48 % Level of proof is 23.
% 0.13/0.48 % Maximum clause weight is 80.000.
% 0.13/0.48 % Given clauses 81.
% 0.13/0.48
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------