%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 07:24:32 AM UTC 2026
% Result : Unsatisfiable 163.75s 49.71s
% Output : CNFRefutation 163.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of clauses : 203 ( 203 unt; 0 nHn; 4 RR)
% Number of literals : 203 ( 202 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 400 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X0,ld(X0,X1)) = X1 ).
cnf(c02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(c03,axiom,
mult(rd(X0,X1),X1) = X0 ).
cnf(c04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(c05,axiom,
mult(X0,unit) = X0 ).
cnf(c06,axiom,
mult(unit,X0) = X0 ).
cnf(c07,axiom,
mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2) ).
cnf(c08,axiom,
mult(X0,mult(X0,mult(X0,X0))) = unit ).
cnf(c09,axiom,
mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)) ).
cnf(c_0,plain,
mult(X0,ld(X0,X1)) = X1,
inference(clausification,[status(esa)],[c01]) ).
cnf(c_1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[c02]) ).
cnf(c_2,plain,
mult(rd(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c03]) ).
cnf(c_3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[c04]) ).
cnf(c_4,plain,
mult(X0,unit) = X0,
inference(clausification,[status(esa)],[c05]) ).
cnf(c_5,plain,
mult(unit,X0) = X0,
inference(clausification,[status(esa)],[c06]) ).
cnf(c_6,plain,
mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(clausification,[status(esa)],[c07]) ).
cnf(c_7,plain,
mult(X0,mult(X0,mult(X0,X0))) = unit,
inference(clausification,[status(esa)],[c08]) ).
cnf(c_8,plain,
mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
inference(clausification,[status(esa)],[c09]) ).
cnf(c_9,plain,
mult(mult(a,b),a) != mult(a,mult(b,a)),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_5,c_6]) ).
cnf(d1,plain,
mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[d0,c_5]) ).
cnf(d2,plain,
rd(mult(mult(X1,X1),X0),mult(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_8,c_3]) ).
cnf(d3,plain,
mult(X1,mult(X0,X0)) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[d2,c_2]) ).
cnf(d4,plain,
rd(X0,unit) = X0,
inference(superposition,[status(thm)],[c_4,c_2]) ).
cnf(d5,plain,
X0 = mult(X0,unit),
inference(superposition,[status(thm)],[c_3,d4]) ).
cnf(d6,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[status(thm)],[c_6,d5]) ).
cnf(d7,plain,
mult(mult(X1,X0),X0) = mult(X1,mult(X0,X0)),
inference(demodulation,[status(thm)],[d6,c_4]) ).
cnf(d8,plain,
mult(X0,X1) = mult(rd(X0,X1),mult(X1,X1)),
inference(superposition,[status(thm)],[c_2,d7]) ).
cnf(d9,plain,
mult(X0,X1) = mult(mult(X1,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
mult(X1,X0) = mult(X0,mult(X0,rd(X1,X0))),
inference(demodulation,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
ld(X0,mult(X1,X0)) = mult(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[d10,c_1]) ).
cnf(d12,plain,
rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[d7,c_3]) ).
cnf(d13,plain,
rd(mult(X0,X1),X1) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[d8,d12]) ).
cnf(d14,plain,
X0 = mult(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[d13,c_3]) ).
cnf(d15,plain,
rd(X1,ld(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_0,c_3]) ).
cnf(d16,plain,
X0 = mult(X1,ld(X1,X0)),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1,
inference(superposition,[status(thm)],[d1,c_1]) ).
cnf(d18,plain,
ld(mult(X0,X0),mult(X0,X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[d16,d17]) ).
cnf(d19,plain,
rd(X1,mult(X0,X0)) = ld(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_0,d2]) ).
cnf(d20,plain,
X0 = ld(mult(X1,X1),mult(X0,mult(X1,X1))),
inference(superposition,[status(thm)],[c_3,d19]) ).
cnf(d21,plain,
mult(X1,mult(X0,X0)) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d1,d3]) ).
cnf(d22,plain,
X0 = ld(mult(X1,X1),mult(X1,mult(X1,X0))),
inference(superposition,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
X1 = ld(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
ld(X0,unit) = mult(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_7,c_1]) ).
cnf(d25,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(mult(X0,mult(X0,X0)),X1),
inference(superposition,[status(thm)],[c_8,c_6]) ).
cnf(d26,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(demodulation,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
ld(mult(mult(X0,X1),X1),mult(X0,mult(X1,mult(X1,X2)))) = X2,
inference(superposition,[status(thm)],[c_6,c_1]) ).
cnf(d28,plain,
ld(mult(ld(X0,unit),mult(X0,X0)),mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = X1,
inference(superposition,[status(thm)],[d24,d27]) ).
cnf(d29,plain,
ld(mult(X0,mult(X0,ld(X0,unit))),mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = X1,
inference(demodulation,[status(thm)],[d28,d21]) ).
cnf(d30,plain,
ld(mult(X0,unit),mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = X1,
inference(demodulation,[status(thm)],[d29,c_0]) ).
cnf(d31,plain,
ld(X0,mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = X1,
inference(demodulation,[status(thm)],[d30,c_4]) ).
cnf(d32,plain,
mult(mult(X0,X0),mult(mult(X0,X0),X1)) = X1,
inference(demodulation,[status(thm)],[d31,c_1]) ).
cnf(d33,plain,
mult(X0,mult(X0,mult(mult(X0,X0),X1))) = X1,
inference(demodulation,[status(thm)],[d32,d1]) ).
cnf(d34,plain,
mult(X0,mult(X0,mult(X0,mult(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[d33,d1]) ).
cnf(d35,plain,
mult(ld(X0,unit),mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[d34,d26]) ).
cnf(d36,plain,
mult(X0,X1) = ld(ld(X0,unit),X1),
inference(superposition,[status(thm)],[d35,d23]) ).
cnf(d37,plain,
ld(mult(X0,X1),mult(X0,mult(X1,X1))) = X1,
inference(superposition,[status(thm)],[d7,c_1]) ).
cnf(d38,plain,
ld(mult(X0,X1),mult(mult(X1,X1),X0)) = X1,
inference(superposition,[status(thm)],[c_8,d37]) ).
cnf(d39,plain,
ld(mult(X1,X0),mult(X0,mult(X0,X1))) = X0,
inference(demodulation,[status(thm)],[d38,d1]) ).
cnf(d40,plain,
mult(mult(X0,X1),X1) = mult(X1,mult(X1,X0)),
inference(superposition,[status(thm)],[d39,c_0]) ).
cnf(d41,plain,
mult(mult(mult(X0,X1),X1),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(superposition,[status(thm)],[d27,c_0]) ).
cnf(d42,plain,
mult(mult(X1,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(demodulation,[status(thm)],[d41,d40]) ).
cnf(d43,plain,
mult(ld(X0,unit),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[d16,d35]) ).
cnf(d44,plain,
ld(mult(X0,X0),mult(X1,mult(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_8,c_1]) ).
cnf(d45,plain,
ld(mult(X1,X1),X0) = rd(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_2,d44]) ).
cnf(d46,plain,
mult(mult(X1,X1),rd(X0,mult(X1,X1))) = X0,
inference(superposition,[status(thm)],[d3,c_2]) ).
cnf(d47,plain,
mult(X0,mult(X0,rd(X1,mult(X0,X0)))) = X1,
inference(demodulation,[status(thm)],[d46,d1]) ).
cnf(d48,plain,
mult(X1,mult(X1,ld(mult(X1,X1),X0))) = X0,
inference(demodulation,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[d48,c_1]) ).
cnf(d50,plain,
ld(X0,ld(X0,X1)) = ld(mult(X0,X0),X1),
inference(superposition,[status(thm)],[d49,c_1]) ).
cnf(d51,plain,
mult(mult(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X1,X1))),X2),
inference(superposition,[status(thm)],[c_6,c_6]) ).
cnf(d52,plain,
mult(mult(X1,X0),mult(X0,mult(X0,X2))) = mult(mult(X1,ld(X0,unit)),X2),
inference(demodulation,[status(thm)],[d51,d24]) ).
cnf(d53,plain,
rd(ld(X0,unit),mult(X0,X0)) = X0,
inference(superposition,[status(thm)],[d24,c_3]) ).
cnf(d54,plain,
mult(X0,mult(X0,X0)) = ld(X0,unit),
inference(superposition,[status(thm)],[d53,c_2]) ).
cnf(d55,plain,
mult(ld(X0,unit),mult(mult(X0,X0),mult(mult(X0,X0),X1))) = mult(mult(X0,ld(mult(X0,X0),unit)),X1),
inference(superposition,[status(thm)],[d54,d52]) ).
cnf(d56,plain,
ld(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1))) = mult(mult(X0,ld(mult(X0,X0),unit)),X1),
inference(demodulation,[status(thm)],[d55,d43]) ).
cnf(d57,plain,
ld(X0,mult(X0,mult(X0,mult(mult(X0,X0),X1)))) = mult(mult(X0,ld(mult(X0,X0),unit)),X1),
inference(demodulation,[status(thm)],[d56,d1]) ).
cnf(d58,plain,
mult(X0,mult(mult(X0,X0),X1)) = mult(mult(X0,ld(mult(X0,X0),unit)),X1),
inference(demodulation,[status(thm)],[d57,c_1]) ).
cnf(d59,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(mult(X0,ld(mult(X0,X0),unit)),X1),
inference(demodulation,[status(thm)],[d58,d1]) ).
cnf(d60,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(mult(X0,ld(X0,ld(X0,unit))),X1),
inference(demodulation,[status(thm)],[d59,d50]) ).
cnf(d61,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(demodulation,[status(thm)],[d60,c_0]) ).
cnf(d62,plain,
mult(X0,mult(X0,mult(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[d61,d43]) ).
cnf(d63,plain,
mult(X0,mult(X0,X1)) = ld(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[d62,d23]) ).
cnf(d64,plain,
rd(X0,X1) = mult(rd(X0,mult(X1,X1)),X1),
inference(superposition,[status(thm)],[c_2,d12]) ).
cnf(d65,plain,
rd(X0,X1) = mult(ld(mult(X1,X1),X0),X1),
inference(demodulation,[status(thm)],[d64,d45]) ).
cnf(d66,plain,
X0 = ld(ld(mult(X0,X0),X1),rd(X1,X0)),
inference(superposition,[status(thm)],[d65,d23]) ).
cnf(d67,plain,
X0 = ld(ld(X0,ld(X0,X1)),rd(X1,X0)),
inference(demodulation,[status(thm)],[d66,d50]) ).
cnf(d68,plain,
rd(X1,X0) = mult(ld(X0,ld(X0,X1)),X0),
inference(superposition,[status(thm)],[d67,d16]) ).
cnf(d69,plain,
rd(X1,X0) = mult(mult(X0,mult(X0,X1)),X0),
inference(demodulation,[status(thm)],[d68,d63]) ).
cnf(d70,plain,
rd(X1,X0) = mult(X1,mult(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[d69,d42]) ).
cnf(d71,plain,
rd(X1,X0) = mult(X1,ld(X0,unit)),
inference(demodulation,[status(thm)],[d70,d24]) ).
cnf(d72,plain,
ld(X1,unit) = ld(X0,rd(X0,X1)),
inference(superposition,[status(thm)],[d71,d23]) ).
cnf(d73,plain,
ld(X0,mult(mult(X1,X1),X0)) = mult(X1,X1),
inference(superposition,[status(thm)],[d3,c_1]) ).
cnf(d74,plain,
ld(X1,mult(X0,mult(X0,X1))) = mult(X0,X0),
inference(demodulation,[status(thm)],[d73,d1]) ).
cnf(d75,plain,
ld(ld(X0,X1),mult(X0,X1)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_0,d74]) ).
cnf(d76,plain,
ld(ld(X0,unit),X0) = mult(X0,X0),
inference(superposition,[status(thm)],[c_4,d75]) ).
cnf(d77,plain,
rd(X0,mult(X0,X0)) = ld(X0,unit),
inference(superposition,[status(thm)],[d76,d15]) ).
cnf(d78,plain,
ld(mult(X0,X0),X0) = ld(X0,unit),
inference(demodulation,[status(thm)],[d77,d45]) ).
cnf(d79,plain,
ld(mult(X1,X1),mult(X0,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[d8,d44]) ).
cnf(d80,plain,
ld(mult(X0,X0),X0) = rd(unit,X0),
inference(superposition,[status(thm)],[c_5,d79]) ).
cnf(d81,plain,
ld(X0,unit) = rd(unit,X0),
inference(demodulation,[status(thm)],[d80,d78]) ).
cnf(d82,plain,
rd(X1,mult(X0,X1)) = ld(X0,unit),
inference(superposition,[status(thm)],[d35,c_3]) ).
cnf(d83,plain,
rd(X1,X0) = ld(rd(X0,X1),unit),
inference(superposition,[status(thm)],[d14,d82]) ).
cnf(d84,plain,
rd(unit,rd(X1,X0)) = rd(X0,X1),
inference(superposition,[status(thm)],[d83,d15]) ).
cnf(d85,plain,
ld(rd(X0,X1),unit) = rd(X1,X0),
inference(demodulation,[status(thm)],[d84,d81]) ).
cnf(d86,plain,
ld(ld(X1,unit),unit) = rd(mult(X1,X0),X0),
inference(superposition,[status(thm)],[d82,d85]) ).
cnf(d87,plain,
mult(X0,unit) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[d86,d36]) ).
cnf(d88,plain,
X0 = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[d87,c_4]) ).
cnf(d89,plain,
X0 = rd(X1,ld(X0,X1)),
inference(superposition,[status(thm)],[d16,d88]) ).
cnf(d90,plain,
ld(ld(X1,X0),unit) = ld(X0,X1),
inference(superposition,[status(thm)],[d89,d72]) ).
cnf(d91,plain,
mult(ld(X0,X1),X2) = ld(ld(X1,X0),X2),
inference(superposition,[status(thm)],[d90,d36]) ).
cnf(d92,plain,
X2 = mult(ld(X0,X1),mult(ld(X1,X0),X2)),
inference(superposition,[status(thm)],[d91,d16]) ).
cnf(d93,plain,
ld(unit,X0) = X0,
inference(superposition,[status(thm)],[c_5,c_0]) ).
cnf(d94,plain,
mult(rd(X0,X1),X2) = ld(rd(X1,X0),X2),
inference(superposition,[status(thm)],[d83,d36]) ).
cnf(d95,plain,
X0 = rd(rd(X0,X1),ld(X1,unit)),
inference(superposition,[status(thm)],[d71,d88]) ).
cnf(d96,plain,
mult(X0,ld(X1,unit)) = rd(X0,X1),
inference(superposition,[status(thm)],[d95,c_2]) ).
cnf(d97,plain,
mult(X0,mult(X1,mult(X1,ld(mult(mult(X0,X1),X1),X2)))) = X2,
inference(superposition,[status(thm)],[c_6,c_0]) ).
cnf(d98,plain,
mult(mult(X0,X1),mult(X1,mult(X1,ld(mult(X0,mult(X1,mult(X1,X1))),X2)))) = X2,
inference(superposition,[status(thm)],[c_6,d97]) ).
cnf(d99,plain,
mult(mult(X1,X0),mult(X0,mult(X0,ld(mult(X1,ld(X0,unit)),X2)))) = X2,
inference(demodulation,[status(thm)],[d98,d24]) ).
cnf(d100,plain,
mult(mult(X0,X1),mult(X1,mult(X1,ld(rd(X0,X1),X2)))) = X2,
inference(demodulation,[status(thm)],[d99,d96]) ).
cnf(d101,plain,
mult(mult(X0,X1),mult(X1,mult(X1,mult(rd(X1,X0),X2)))) = X2,
inference(demodulation,[status(thm)],[d100,d94]) ).
cnf(d102,plain,
rd(mult(X0,mult(X1,mult(X1,X2))),X2) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_6,c_3]) ).
cnf(d103,plain,
rd(mult(mult(X0,ld(X1,unit)),X2),X2) = mult(mult(mult(X0,X1),X1),X1),
inference(superposition,[status(thm)],[d52,d102]) ).
cnf(d104,plain,
mult(X0,ld(X1,unit)) = mult(mult(mult(X0,X1),X1),X1),
inference(demodulation,[status(thm)],[d103,c_3]) ).
cnf(d105,plain,
rd(X0,X1) = mult(mult(mult(X0,X1),X1),X1),
inference(demodulation,[status(thm)],[d104,d96]) ).
cnf(d106,plain,
rd(X0,X1) = mult(X1,mult(X1,mult(X0,X1))),
inference(demodulation,[status(thm)],[d105,d40]) ).
cnf(d107,plain,
mult(mult(X1,X0),rd(rd(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[d106,d101]) ).
cnf(d108,plain,
rd(rd(X1,X0),X1) = ld(mult(X0,X1),X1),
inference(superposition,[status(thm)],[d107,d23]) ).
cnf(d109,plain,
mult(X2,ld(X1,X0)) = rd(X2,ld(X0,X1)),
inference(superposition,[status(thm)],[d90,d96]) ).
cnf(d110,plain,
mult(X0,mult(X1,X0)) = ld(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[d10,d62]) ).
cnf(d111,plain,
X0 = rd(rd(X1,X0),mult(X0,mult(X1,X0))),
inference(superposition,[status(thm)],[d110,d89]) ).
cnf(d112,plain,
ld(X1,unit) = ld(mult(X0,X1),X0),
inference(superposition,[status(thm)],[d88,d72]) ).
cnf(d113,plain,
mult(mult(mult(X0,X1),X1),mult(X2,mult(X2,X3))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(superposition,[status(thm)],[c_6,c_6]) ).
cnf(d114,plain,
mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))) = mult(mult(mult(X0,mult(X1,mult(X1,X2))),X2),X3),
inference(demodulation,[status(thm)],[d113,c_6]) ).
cnf(d115,plain,
mult(X0,mult(X1,mult(X1,mult(unit,mult(unit,X2))))) = mult(mult(X0,mult(X1,mult(X1,unit))),X2),
inference(superposition,[status(thm)],[c_4,d114]) ).
cnf(d116,plain,
mult(X1,mult(X2,mult(X2,mult(unit,X0)))) = mult(mult(X1,mult(X2,mult(X2,unit))),X0),
inference(demodulation,[status(thm)],[d115,c_5]) ).
cnf(d117,plain,
mult(X1,mult(X2,mult(X2,X0))) = mult(mult(X1,mult(X2,mult(X2,unit))),X0),
inference(demodulation,[status(thm)],[d116,c_5]) ).
cnf(d118,plain,
mult(X1,mult(X0,mult(X0,X2))) = mult(mult(X1,mult(X0,X0)),X2),
inference(demodulation,[status(thm)],[d117,c_4]) ).
cnf(d119,plain,
rd(mult(mult(X1,X1),X0),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_8,d12]) ).
cnf(d120,plain,
rd(mult(X0,mult(X0,X1)),X0) = mult(X1,X0),
inference(demodulation,[status(thm)],[d119,d1]) ).
cnf(d121,plain,
rd(mult(X0,X1),X0) = mult(ld(X0,X1),X0),
inference(superposition,[status(thm)],[c_0,d120]) ).
cnf(d122,plain,
rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[d1,c_3]) ).
cnf(d123,plain,
mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[d1,c_8]) ).
cnf(d124,plain,
rd(mult(X1,mult(X0,X0)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[d123,d122]) ).
cnf(d125,plain,
mult(ld(X0,mult(X1,X1)),X0) = mult(X1,X1),
inference(demodulation,[status(thm)],[d124,d121]) ).
cnf(d126,plain,
mult(mult(X0,mult(X1,X1)),ld(X0,unit)) = mult(X1,X1),
inference(superposition,[status(thm)],[d36,d125]) ).
cnf(d127,plain,
mult(X0,mult(X1,mult(X1,ld(X0,unit)))) = mult(X1,X1),
inference(demodulation,[status(thm)],[d126,d118]) ).
cnf(d128,plain,
mult(X1,mult(X0,rd(X0,X1))) = mult(X0,X0),
inference(demodulation,[status(thm)],[d127,d96]) ).
cnf(d129,plain,
mult(X1,rd(X1,X0)) = ld(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[d128,d23]) ).
cnf(d130,plain,
mult(X1,X1) = ld(X0,mult(X1,mult(X1,X0))),
inference(superposition,[status(thm)],[d123,d23]) ).
cnf(d131,plain,
mult(X0,X0) = ld(rd(X1,X0),mult(X1,X0)),
inference(superposition,[status(thm)],[d10,d130]) ).
cnf(d132,plain,
mult(X1,X1) = mult(rd(X1,X0),mult(X0,X1)),
inference(demodulation,[status(thm)],[d131,d94]) ).
cnf(d133,plain,
mult(X0,X0) = mult(X1,mult(ld(X1,X0),X0)),
inference(superposition,[status(thm)],[d89,d132]) ).
cnf(d134,plain,
mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[d133,d23]) ).
cnf(d135,plain,
mult(ld(X0,X1),X1) = mult(X1,rd(X1,X0)),
inference(demodulation,[status(thm)],[d134,d129]) ).
cnf(d136,plain,
X1 = mult(ld(X1,X0),mult(X1,rd(X1,X0))),
inference(superposition,[status(thm)],[d135,d92]) ).
cnf(d137,plain,
X0 = mult(X1,mult(X0,rd(X0,mult(X0,X1)))),
inference(superposition,[status(thm)],[d23,d136]) ).
cnf(d138,plain,
mult(X1,rd(X1,mult(X1,X0))) = ld(X0,X1),
inference(superposition,[status(thm)],[d137,d23]) ).
cnf(d139,plain,
rd(X0,mult(X0,X1)) = ld(X0,ld(X1,X0)),
inference(superposition,[status(thm)],[d138,d23]) ).
cnf(d140,plain,
mult(mult(X2,X0),mult(X1,X0)) = mult(mult(X2,ld(X0,unit)),rd(X1,X0)),
inference(superposition,[status(thm)],[d10,d52]) ).
cnf(d141,plain,
mult(mult(X0,X1),mult(X2,X1)) = mult(rd(X0,X1),rd(X2,X1)),
inference(demodulation,[status(thm)],[d140,d96]) ).
cnf(d142,plain,
rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
inference(superposition,[status(thm)],[d16,d122]) ).
cnf(d143,plain,
rd(X0,ld(rd(X0,X1),X1)) = mult(rd(X0,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[d14,d142]) ).
cnf(d144,plain,
mult(X0,ld(X1,rd(X0,X1))) = mult(rd(X0,X1),rd(X0,X1)),
inference(demodulation,[status(thm)],[d143,d109]) ).
cnf(d145,plain,
mult(X1,mult(X0,mult(X1,X0))) = mult(rd(X1,X0),rd(X1,X0)),
inference(demodulation,[status(thm)],[d144,d110]) ).
cnf(d146,plain,
mult(X0,mult(X1,mult(X0,X1))) = mult(mult(X0,X1),mult(X0,X1)),
inference(demodulation,[status(thm)],[d145,d141]) ).
cnf(d147,plain,
mult(rd(X0,X1),mult(rd(X0,X1),X0)) = ld(rd(X0,X1),X1),
inference(superposition,[status(thm)],[d14,d62]) ).
cnf(d148,plain,
mult(X0,mult(rd(X0,X1),rd(X0,X1))) = ld(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[d147,d21]) ).
cnf(d149,plain,
mult(X0,mult(mult(X0,X1),mult(X0,X1))) = ld(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[d148,d141]) ).
cnf(d150,plain,
mult(X0,mult(X0,mult(X1,mult(X0,X1)))) = ld(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[d149,d146]) ).
cnf(d151,plain,
mult(X0,mult(X0,mult(X1,mult(X0,X1)))) = mult(rd(X1,X0),X1),
inference(demodulation,[status(thm)],[d150,d94]) ).
cnf(d152,plain,
mult(ld(X0,unit),X0) = unit,
inference(superposition,[status(thm)],[d81,c_2]) ).
cnf(d153,plain,
rd(unit,X0) = ld(X0,unit),
inference(superposition,[status(thm)],[d152,c_3]) ).
cnf(d154,plain,
X0 = ld(ld(X0,unit),unit),
inference(superposition,[status(thm)],[d15,d153]) ).
cnf(d155,plain,
ld(ld(X0,ld(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[d16,d75]) ).
cnf(d156,plain,
mult(X0,X0) = ld(X0,ld(X0,unit)),
inference(superposition,[status(thm)],[d54,d23]) ).
cnf(d157,plain,
ld(mult(X0,X0),unit) = mult(X0,X0),
inference(superposition,[status(thm)],[d156,d155]) ).
cnf(d158,plain,
mult(X0,X0) = ld(mult(X0,X0),unit),
inference(superposition,[status(thm)],[d157,d154]) ).
cnf(d159,plain,
mult(mult(X0,X0),X1) = ld(mult(X0,X0),X1),
inference(superposition,[status(thm)],[d158,d36]) ).
cnf(d160,plain,
mult(X0,mult(X0,X1)) = ld(mult(X0,X0),X1),
inference(demodulation,[status(thm)],[d159,d1]) ).
cnf(d161,plain,
ld(mult(mult(X0,mult(X0,X1)),mult(X0,mult(X0,X1))),mult(ld(X0,unit),X1)) = rd(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[d26,d79]) ).
cnf(d162,plain,
mult(mult(X0,mult(X0,X1)),mult(mult(X0,mult(X0,X1)),mult(ld(X0,unit),X1))) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d161,d160]) ).
cnf(d163,plain,
mult(X1,mult(X0,mult(X0,mult(mult(X0,mult(X0,X1)),mult(ld(X0,unit),X1))))) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d162,d42]) ).
cnf(d164,plain,
mult(X1,mult(X0,mult(X0,mult(X1,mult(X0,mult(X0,mult(ld(X0,unit),X1))))))) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d163,d42]) ).
cnf(d165,plain,
mult(X1,mult(X0,mult(X0,mult(X1,mult(X0,mult(X0,ld(X0,X1))))))) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d164,d43]) ).
cnf(d166,plain,
mult(X1,mult(X0,mult(X0,mult(X1,mult(X0,X1))))) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d165,c_0]) ).
cnf(d167,plain,
mult(X1,mult(rd(X1,X0),X1)) = rd(X0,mult(X0,mult(X0,X1))),
inference(demodulation,[status(thm)],[d166,d151]) ).
cnf(d168,plain,
mult(X1,mult(rd(X1,X0),X1)) = ld(X0,ld(mult(X0,X1),X0)),
inference(demodulation,[status(thm)],[d167,d139]) ).
cnf(d169,plain,
mult(X1,mult(rd(X1,X0),X1)) = ld(X0,ld(X1,unit)),
inference(demodulation,[status(thm)],[d168,d112]) ).
cnf(d170,plain,
X0 = rd(rd(rd(X0,X1),X0),ld(X1,ld(X0,unit))),
inference(superposition,[status(thm)],[d169,d111]) ).
cnf(d171,plain,
X0 = mult(rd(rd(X0,X1),X0),ld(ld(X0,unit),X1)),
inference(demodulation,[status(thm)],[d170,d109]) ).
cnf(d172,plain,
X0 = mult(ld(mult(X1,X0),X0),ld(ld(X0,unit),X1)),
inference(demodulation,[status(thm)],[d171,d108]) ).
cnf(d173,plain,
X0 = mult(ld(mult(X1,X0),X0),mult(ld(unit,X0),X1)),
inference(demodulation,[status(thm)],[d172,d91]) ).
cnf(d174,plain,
X0 = mult(ld(mult(X1,X0),X0),mult(X0,X1)),
inference(demodulation,[status(thm)],[d173,d93]) ).
cnf(d175,plain,
mult(X1,X0) = mult(ld(X1,mult(X0,X1)),X1),
inference(superposition,[status(thm)],[d174,d92]) ).
cnf(d176,plain,
mult(X0,X1) = mult(mult(X0,rd(X1,X0)),X0),
inference(demodulation,[status(thm)],[d175,d11]) ).
cnf(d177,plain,
mult(X1,mult(X0,X1)) = mult(mult(X1,X0),X1),
inference(superposition,[status(thm)],[d88,d176]) ).
cnf(d178,plain,
mult(a,mult(b,a)) != mult(a,mult(b,a)),
inference(demodulation,[status(thm)],[c_9,d177]) ).
cnf(d179,plain,
rd(unit,mult(X0,mult(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_7,c_3]) ).
cnf(d180,plain,
rd(unit,ld(X0,unit)) = X0,
inference(demodulation,[status(thm)],[d179,d24]) ).
cnf(d181,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d180,d15]) ).
cnf(d182,plain,
$false,
inference(resolution,[status(thm)],[d181,d178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/15.45 % Computer : n008.cluster.edu
% 0.16/15.45 % Model : x86_64 x86_64
% 0.16/15.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.45 % Memory : 8046.5625MB
% 0.16/15.45 % OS : Linux 6.8.0-71-generic
% 0.16/15.45 % CPULimit : 300
% 0.16/15.45 % WCLimit : 300
% 0.16/15.45 % DateTime : Fri Sep 25 15:40:27 UTC 2026
% 0.16/15.45 % CPUTime :
% 0.16/15.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 163.75/49.71 % SZS status Unsatisfiable for theBenchmark.p
% 163.75/49.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------