%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 07:24:36 AM UTC 2026
% Result : Unsatisfiable 124.67s 18.54s
% Output : CNFRefutation 124.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 4 RR)
% Number of literals : 82 ( 81 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 218 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X0,ld(X0,X1)) = X1 ).
cnf(f02,axiom,
ld(X0,mult(X0,X1)) = X1 ).
cnf(f03,axiom,
mult(rd(X0,X1),X1) = X0 ).
cnf(f04,axiom,
rd(mult(X0,X1),X1) = X0 ).
cnf(f05,axiom,
mult(X0,mult(mult(X1,X1),X2)) = mult(mult(X0,X1),mult(X1,X2)) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)) ).
cnf(c0,plain,
mult(X0,ld(X0,X1)) = X1,
inference(clausification,[status(esa)],[f01]) ).
cnf(c1,plain,
ld(X0,mult(X0,X1)) = X1,
inference(clausification,[status(esa)],[f02]) ).
cnf(c2,plain,
mult(rd(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[f03]) ).
cnf(c3,plain,
rd(mult(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[f04]) ).
cnf(c4,plain,
mult(X0,mult(mult(X1,X1),X2)) = mult(mult(X0,X1),mult(X1,X2)),
inference(clausification,[status(esa)],[f05]) ).
cnf(c5,plain,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
mult(X2,mult(mult(X0,X0),ld(X0,X1))) = mult(mult(X2,X0),X1),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d1,plain,
ld(X0,mult(mult(X0,X1),X2)) = mult(mult(X1,X1),ld(X1,X2)),
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
mult(X3,ld(X2,mult(mult(X2,X0),X1))) = mult(mult(X3,X0),X1),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
mult(rd(X0,X1),mult(mult(X1,X1),X2)) = mult(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d4,plain,
mult(rd(X2,X0),X1) = mult(X2,mult(X0,ld(mult(X0,X0),X1))),
inference(superposition,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
ld(mult(X0,X1),mult(X0,mult(mult(X1,X1),X2))) = mult(X1,X2),
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d6,plain,
ld(mult(rd(X0,mult(mult(X1,X1),X2)),X1),X0) = mult(X1,X2),
inference(superposition,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
ld(X0,mult(rd(X0,X1),mult(mult(X1,X1),X2))) = mult(X1,X2),
inference(superposition,[status(thm)],[c2,d5]) ).
cnf(d8,plain,
ld(X0,mult(X0,mult(X1,X2))) = mult(X1,X2),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
mult(X1,X2) = mult(X1,X2),
inference(demodulation,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
X1 = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
ld(mult(rd(X2,X1),X0),X2) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
mult(rd(X3,X0),X1) = mult(X3,ld(mult(rd(X2,X1),X0),X2)),
inference(superposition,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
ld(X0,X0) = mult(X1,ld(mult(X1,X1),X1)),
inference(superposition,[status(thm)],[c2,d11]) ).
cnf(d14,plain,
rd(ld(X1,X1),ld(mult(X0,X0),X0)) = X0,
inference(superposition,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
ld(X0,ld(X1,X1)) = ld(mult(X0,X0),X0),
inference(superposition,[status(thm)],[d13,c1]) ).
cnf(d16,plain,
rd(ld(X2,X2),ld(X0,ld(X1,X1))) = X0,
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d18,plain,
rd(ld(X2,X2),X1) = rd(ld(X0,X0),X1),
inference(superposition,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
X1 = rd(ld(X3,X3),ld(X1,ld(X2,X2))),
inference(superposition,[status(thm)],[d16,d18]) ).
cnf(d20,plain,
ld(mult(X2,X0),mult(X2,X1)) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[c0,d5]) ).
cnf(d21,plain,
ld(mult(X0,X2),X1) = mult(X2,ld(mult(X2,X2),ld(X0,X1))),
inference(superposition,[status(thm)],[d10,d20]) ).
cnf(d22,plain,
ld(X2,X2) = ld(X1,X1),
inference(superposition,[status(thm)],[d13,d13]) ).
cnf(d23,plain,
X0 = mult(X0,ld(X1,X1)),
inference(superposition,[status(thm)],[d22,d10]) ).
cnf(d24,plain,
ld(mult(X0,X2),X0) = mult(X2,ld(mult(X2,X2),ld(X1,X1))),
inference(superposition,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
ld(mult(X2,X0),X2) = ld(mult(X1,X0),X1),
inference(demodulation,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
rd(ld(X2,X2),ld(mult(X1,X0),X1)) = X0,
inference(superposition,[status(thm)],[d25,d14]) ).
cnf(d27,plain,
mult(ld(X1,X1),X2) = X2,
inference(superposition,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
mult(rd(X1,X0),mult(X0,X0)) = mult(X1,X0),
inference(superposition,[status(thm)],[d23,d4]) ).
cnf(d29,plain,
rd(mult(X0,X1),mult(X1,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[d28,c3]) ).
cnf(d30,plain,
rd(X0,mult(X1,X1)) = rd(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c2,d29]) ).
cnf(d31,plain,
mult(rd(X0,mult(X1,X1)),X1) = rd(X0,X1),
inference(superposition,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(superposition,[status(thm)],[d29,d31]) ).
cnf(d33,plain,
X0 = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[d32,c2]) ).
cnf(d34,plain,
X2 = mult(ld(X1,X1),X2),
inference(superposition,[status(thm)],[d26,d16]) ).
cnf(d35,plain,
ld(X0,X0) = rd(X1,X1),
inference(superposition,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
mult(rd(X1,X1),X2) = X2,
inference(superposition,[status(thm)],[d35,d27]) ).
cnf(d37,plain,
mult(rd(X2,X1),X0) = mult(X2,ld(X1,X0)),
inference(superposition,[status(thm)],[d36,d12]) ).
cnf(d38,plain,
mult(mult(X0,X1),ld(mult(X2,X1),X2)) = X0,
inference(superposition,[status(thm)],[d25,c0]) ).
cnf(d39,plain,
mult(X0,ld(mult(X2,X1),X2)) = rd(X0,X1),
inference(superposition,[status(thm)],[c2,d38]) ).
cnf(d40,plain,
mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d36,d3]) ).
cnf(d41,plain,
mult(mult(X0,X1),mult(mult(mult(X1,X2),mult(X1,X2)),X3)) = mult(mult(X0,mult(mult(X1,X1),X2)),mult(mult(X1,X2),X3)),
inference(superposition,[status(thm)],[c4,c4]) ).
cnf(d42,plain,
X0 = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c2,d9]) ).
cnf(d43,plain,
mult(mult(rd(X0,mult(mult(X1,X1),X2)),X1),mult(mult(mult(X1,X2),mult(X1,X2)),X3)) = mult(X0,mult(mult(X1,X2),X3)),
inference(superposition,[status(thm)],[d42,d41]) ).
cnf(d44,plain,
mult(mult(X0,ld(mult(mult(X1,X1),X2),X1)),mult(mult(mult(X1,X2),mult(X1,X2)),X3)) = mult(X0,mult(mult(X1,X2),X3)),
inference(demodulation,[status(thm)],[d43,d37]) ).
cnf(d45,plain,
mult(mult(X2,ld(mult(X0,mult(X0,X1)),X0)),mult(mult(mult(X0,X1),mult(X0,X1)),X3)) = mult(X2,mult(mult(X0,X1),X3)),
inference(demodulation,[status(thm)],[d44,d40]) ).
cnf(d46,plain,
mult(rd(X0,mult(X1,X2)),mult(mult(mult(X1,X2),mult(X1,X2)),X3)) = mult(X0,mult(mult(X1,X2),X3)),
inference(demodulation,[status(thm)],[d45,d39]) ).
cnf(d47,plain,
mult(X0,ld(mult(X1,X2),mult(mult(mult(X1,X2),mult(X1,X2)),X3))) = mult(X0,mult(mult(X1,X2),X3)),
inference(demodulation,[status(thm)],[d46,d37]) ).
cnf(d48,plain,
mult(mult(X0,mult(X1,X2)),X3) = mult(X0,mult(mult(X1,X2),X3)),
inference(demodulation,[status(thm)],[d47,d2]) ).
cnf(d49,plain,
X0 = rd(X1,ld(X0,X1)),
inference(superposition,[status(thm)],[d10,d33]) ).
cnf(d50,plain,
mult(X0,X1) = rd(X0,ld(mult(X2,X1),X2)),
inference(superposition,[status(thm)],[d25,d49]) ).
cnf(d51,plain,
mult(X2,ld(X0,X1)) = rd(X2,ld(X1,X0)),
inference(superposition,[status(thm)],[d10,d50]) ).
cnf(d52,plain,
ld(X0,ld(mult(rd(X2,X1),X0),X2)) = ld(mult(X0,X0),X1),
inference(superposition,[status(thm)],[d11,c1]) ).
cnf(d53,plain,
ld(X1,ld(X1,X0)) = ld(mult(X1,X1),X0),
inference(superposition,[status(thm)],[d36,d52]) ).
cnf(d54,plain,
rd(mult(X0,mult(mult(X1,X1),X2)),mult(X1,X2)) = mult(X0,X1),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d55,plain,
rd(mult(X2,X1),mult(X0,ld(mult(X0,X0),X1))) = mult(X2,X0),
inference(superposition,[status(thm)],[c0,d54]) ).
cnf(d56,plain,
mult(mult(X0,X1),mult(X1,X2)) = mult(X0,mult(mult(X1,X1),X2)),
inference(superposition,[status(thm)],[d5,c0]) ).
cnf(d57,plain,
rd(mult(X0,mult(mult(X1,X1),X2)),mult(X3,ld(mult(X3,X3),mult(X1,X2)))) = mult(mult(X0,X1),X3),
inference(superposition,[status(thm)],[d56,d55]) ).
cnf(d58,plain,
rd(mult(X2,mult(X0,mult(X0,X1))),mult(X3,ld(mult(X3,X3),mult(X0,X1)))) = mult(mult(X2,X0),X3),
inference(demodulation,[status(thm)],[d57,d40]) ).
cnf(d59,plain,
rd(mult(X3,mult(X1,mult(X1,X2))),mult(X0,ld(X0,ld(X0,mult(X1,X2))))) = mult(mult(X3,X1),X0),
inference(demodulation,[status(thm)],[d58,d53]) ).
cnf(d60,plain,
rd(mult(X3,mult(X1,mult(X1,X2))),ld(X0,mult(X1,X2))) = mult(mult(X3,X1),X0),
inference(demodulation,[status(thm)],[d59,c0]) ).
cnf(d61,plain,
mult(mult(X0,mult(X1,mult(X1,X2))),ld(mult(X1,X2),X3)) = mult(mult(X0,X1),X3),
inference(demodulation,[status(thm)],[d60,d51]) ).
cnf(d62,plain,
mult(X0,mult(mult(X1,mult(X1,X2)),ld(mult(X1,X2),X3))) = mult(mult(X0,X1),X3),
inference(demodulation,[status(thm)],[d61,d48]) ).
cnf(d63,plain,
mult(X3,mult(X0,mult(mult(X0,X1),ld(mult(X0,X1),X2)))) = mult(mult(X3,X0),X2),
inference(demodulation,[status(thm)],[d62,d48]) ).
cnf(d64,plain,
mult(X3,mult(X0,X2)) = mult(mult(X3,X0),X2),
inference(demodulation,[status(thm)],[d63,c0]) ).
cnf(d65,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(demodulation,[status(thm)],[c5,d64]) ).
cnf(d66,plain,
mult(mult(rd(X0,mult(mult(X1,X1),X2)),X1),mult(X1,X2)) = X0,
inference(superposition,[status(thm)],[d6,c0]) ).
cnf(d67,plain,
mult(rd(X0,mult(mult(X1,X1),X2)),mult(mult(X1,X1),X2)) = X0,
inference(demodulation,[status(thm)],[d66,c4]) ).
cnf(d68,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d67,c2]) ).
cnf(d69,plain,
$false,
inference(resolution,[status(thm)],[d68,d65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 15:39:47 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 124.67/18.54 % SZS status Unsatisfiable for theBenchmark.p
% 124.67/18.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------