%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP053-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 09:52:46 AM UTC 2026
% Result : Unsatisfiable 138.45s 25.58s
% Output : CNFRefutation 138.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 18
% Syntax : Number of clauses : 188 ( 188 unt; 0 nHn; 166 RR)
% Number of literals : 188 ( 187 equ; 30 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(involutory_quandle,axiom,
product(X0,X0) = X0 ).
cnf(involutory_quandle_01,axiom,
product(product(X0,X1),X1) = X0 ).
cnf(involutory_quandle_02,axiom,
product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)) ).
cnf(knot,axiom,
product(a1,a2) = a3 ).
cnf(knot_03,axiom,
product(a3,a4) = a5 ).
cnf(knot_04,axiom,
product(a5,a6) = a7 ).
cnf(knot_05,axiom,
product(a7,a3) = a8 ).
cnf(knot_06,axiom,
product(a8,a2) = a9 ).
cnf(knot_07,axiom,
product(a9,a1) = a10 ).
cnf(knot_08,axiom,
product(a10,a11) = a12 ).
cnf(knot_09,axiom,
product(a12,a3) = a13 ).
cnf(knot_11,axiom,
product(a6,a7) = a2 ).
cnf(knot_12,axiom,
product(a2,a12) = a14 ).
cnf(knot_13,axiom,
product(a14,a3) = a15 ).
cnf(knot_14,axiom,
product(a15,a8) = a4 ).
cnf(knot_15,axiom,
product(a4,a7) = a11 ).
cnf(knot_16,axiom,
product(a11,a10) = a1 ).
cnf(goal,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ).
cnf(c0,plain,
product(X0,X0) = X0,
inference(clausification,[status(esa)],[involutory_quandle]) ).
cnf(c1,plain,
product(product(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[involutory_quandle_01]) ).
cnf(c2,plain,
product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
inference(clausification,[status(esa)],[involutory_quandle_02]) ).
cnf(c3,plain,
product(a1,a2) = a3,
inference(clausification,[status(esa)],[knot]) ).
cnf(c4,plain,
product(a3,a4) = a5,
inference(clausification,[status(esa)],[knot_03]) ).
cnf(c5,plain,
product(a5,a6) = a7,
inference(clausification,[status(esa)],[knot_04]) ).
cnf(c6,plain,
product(a7,a3) = a8,
inference(clausification,[status(esa)],[knot_05]) ).
cnf(c7,plain,
product(a8,a2) = a9,
inference(clausification,[status(esa)],[knot_06]) ).
cnf(c8,plain,
product(a9,a1) = a10,
inference(clausification,[status(esa)],[knot_07]) ).
cnf(c9,plain,
product(a10,a11) = a12,
inference(clausification,[status(esa)],[knot_08]) ).
cnf(c10,plain,
product(a12,a3) = a13,
inference(clausification,[status(esa)],[knot_09]) ).
cnf(c12,plain,
product(a6,a7) = a2,
inference(clausification,[status(esa)],[knot_11]) ).
cnf(c13,plain,
product(a2,a12) = a14,
inference(clausification,[status(esa)],[knot_12]) ).
cnf(c14,plain,
product(a14,a3) = a15,
inference(clausification,[status(esa)],[knot_13]) ).
cnf(c15,plain,
product(a15,a8) = a4,
inference(clausification,[status(esa)],[knot_14]) ).
cnf(c16,plain,
product(a4,a7) = a11,
inference(clausification,[status(esa)],[knot_15]) ).
cnf(c17,plain,
product(a11,a10) = a1,
inference(clausification,[status(esa)],[knot_16]) ).
cnf(c18,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
product(a8,a3) = a7,
inference(superposition,[status(thm)],[c6,c1]) ).
cnf(d1,plain,
product(product(X0,X0),X1) = product(X0,X1),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d2,plain,
product(X0,X1) = product(X0,X1),
inference(demodulation,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
X0 = product(product(X0,X1),X1),
inference(superposition,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
product(a2,a7) = a6,
inference(superposition,[status(thm)],[c12,c1]) ).
cnf(d5,plain,
product(a11,a7) = a4,
inference(superposition,[status(thm)],[c16,c1]) ).
cnf(d6,plain,
product(product(product(X0,X1),X2),X1) = product(X0,product(X2,X1)),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d7,plain,
product(a3,a2) = a1,
inference(superposition,[status(thm)],[c3,c1]) ).
cnf(d8,plain,
product(product(a8,X0),a2) = product(a9,product(X0,a2)),
inference(superposition,[status(thm)],[c7,c2]) ).
cnf(d9,plain,
a7 = product(a8,a3),
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d10,plain,
product(a7,a2) = product(a9,product(a3,a2)),
inference(superposition,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
product(a7,a2) = product(a9,a1),
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
product(a7,a2) = a10,
inference(demodulation,[status(thm)],[d11,c8]) ).
cnf(d13,plain,
a7 = product(a10,a2),
inference(superposition,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
product(product(a1,X0),a2) = product(a3,product(X0,a2)),
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d15,plain,
product(a1,a10) = a11,
inference(superposition,[status(thm)],[c17,c1]) ).
cnf(d16,plain,
product(a11,a2) = product(a3,product(a10,a2)),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
product(a11,a2) = product(a3,a7),
inference(demodulation,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
a11 = product(product(a3,a7),a2),
inference(superposition,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
product(a11,a7) = product(a3,product(a2,a7)),
inference(superposition,[status(thm)],[d18,d6]) ).
cnf(d20,plain,
a4 = product(a3,product(a2,a7)),
inference(demodulation,[status(thm)],[d19,d5]) ).
cnf(d21,plain,
a4 = product(a3,a6),
inference(demodulation,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
a3 = product(a4,a6),
inference(superposition,[status(thm)],[d21,d3]) ).
cnf(d23,plain,
product(product(a5,X0),a6) = product(a7,product(X0,a6)),
inference(superposition,[status(thm)],[c5,c2]) ).
cnf(d24,plain,
product(a5,a4) = a3,
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d25,plain,
product(a3,a6) = product(a7,product(a4,a6)),
inference(superposition,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
a4 = product(a7,product(a4,a6)),
inference(demodulation,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
a4 = product(a7,a3),
inference(demodulation,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
a4 = a8,
inference(demodulation,[status(thm)],[d27,c6]) ).
cnf(d29,plain,
product(a4,a8) = a15,
inference(superposition,[status(thm)],[c15,c1]) ).
cnf(d30,plain,
a15 = product(a4,a8),
inference(superposition,[status(thm)],[d29,d2]) ).
cnf(d31,plain,
a15 = product(a8,a8),
inference(demodulation,[status(thm)],[d30,d28]) ).
cnf(d32,plain,
a15 = a8,
inference(demodulation,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
product(a15,a3) = a14,
inference(superposition,[status(thm)],[c14,c1]) ).
cnf(d34,plain,
a14 = product(a15,a3),
inference(superposition,[status(thm)],[d33,d2]) ).
cnf(d35,plain,
a14 = product(a8,a3),
inference(demodulation,[status(thm)],[d34,d32]) ).
cnf(d36,plain,
a14 = a7,
inference(demodulation,[status(thm)],[d35,d0]) ).
cnf(d37,plain,
product(a14,a12) = a2,
inference(superposition,[status(thm)],[c13,c1]) ).
cnf(d38,plain,
product(a7,a12) = a2,
inference(demodulation,[status(thm)],[d37,d36]) ).
cnf(d39,plain,
product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d40,plain,
product(a7,a6) = a5,
inference(superposition,[status(thm)],[c5,c1]) ).
cnf(d41,plain,
a5 = product(a7,a6),
inference(superposition,[status(thm)],[d40,d2]) ).
cnf(d42,plain,
product(a5,a7) = product(a7,product(a6,a7)),
inference(superposition,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
product(a5,a7) = product(a7,a2),
inference(demodulation,[status(thm)],[d42,c12]) ).
cnf(d44,plain,
product(a5,a7) = a10,
inference(demodulation,[status(thm)],[d43,d12]) ).
cnf(d45,plain,
product(product(X0,a4),a7) = product(product(X0,a7),a11),
inference(superposition,[status(thm)],[c16,c2]) ).
cnf(d46,plain,
product(a3,a7) = product(product(a5,a7),a11),
inference(superposition,[status(thm)],[d24,d45]) ).
cnf(d47,plain,
product(a3,a7) = product(a10,a11),
inference(demodulation,[status(thm)],[d46,d44]) ).
cnf(d48,plain,
product(a3,a7) = a12,
inference(demodulation,[status(thm)],[d47,c9]) ).
cnf(d49,plain,
a11 = product(a4,a7),
inference(superposition,[status(thm)],[c16,d2]) ).
cnf(d50,plain,
a11 = product(a8,a7),
inference(demodulation,[status(thm)],[d49,d28]) ).
cnf(d51,plain,
a8 = product(a7,a3),
inference(superposition,[status(thm)],[c6,d2]) ).
cnf(d52,plain,
product(a8,a7) = product(a7,product(a3,a7)),
inference(superposition,[status(thm)],[d51,d39]) ).
cnf(d53,plain,
a11 = product(a7,product(a3,a7)),
inference(demodulation,[status(thm)],[d52,d50]) ).
cnf(d54,plain,
a11 = product(a7,a12),
inference(demodulation,[status(thm)],[d53,d48]) ).
cnf(d55,plain,
a11 = a2,
inference(demodulation,[status(thm)],[d54,d38]) ).
cnf(d56,plain,
product(a11,a2) = a12,
inference(demodulation,[status(thm)],[d17,d48]) ).
cnf(d57,plain,
product(a2,a2) = a12,
inference(demodulation,[status(thm)],[d56,d55]) ).
cnf(d58,plain,
a2 = a12,
inference(demodulation,[status(thm)],[d57,c0]) ).
cnf(d59,plain,
product(a11,product(a3,a7)) = a7,
inference(superposition,[status(thm)],[d53,c1]) ).
cnf(d60,plain,
product(a11,a12) = a7,
inference(demodulation,[status(thm)],[d59,d48]) ).
cnf(d61,plain,
product(a2,a12) = a7,
inference(demodulation,[status(thm)],[d60,d55]) ).
cnf(d62,plain,
product(a2,a2) = a7,
inference(demodulation,[status(thm)],[d61,d58]) ).
cnf(d63,plain,
a2 = a7,
inference(demodulation,[status(thm)],[d62,c0]) ).
cnf(d64,plain,
a3 = product(a12,a7),
inference(superposition,[status(thm)],[d48,d3]) ).
cnf(d65,plain,
a3 = product(a2,a7),
inference(demodulation,[status(thm)],[d64,d58]) ).
cnf(d66,plain,
a3 = product(a2,a2),
inference(demodulation,[status(thm)],[d65,d63]) ).
cnf(d67,plain,
a3 = a2,
inference(demodulation,[status(thm)],[d66,c0]) ).
cnf(d68,plain,
a3 = a7,
inference(demodulation,[status(thm)],[d63,d67]) ).
cnf(d69,plain,
product(a11,a7) = a8,
inference(demodulation,[status(thm)],[d5,d28]) ).
cnf(d70,plain,
product(a2,a7) = a8,
inference(demodulation,[status(thm)],[d69,d55]) ).
cnf(d71,plain,
product(a3,a7) = a8,
inference(demodulation,[status(thm)],[d70,d67]) ).
cnf(d72,plain,
product(a3,a3) = a8,
inference(demodulation,[status(thm)],[d71,d68]) ).
cnf(d73,plain,
a3 = a8,
inference(demodulation,[status(thm)],[d72,c0]) ).
cnf(d74,plain,
a15 = a3,
inference(demodulation,[status(thm)],[d32,d73]) ).
cnf(d75,plain,
product(product(a2,X0),a12) = product(a14,product(X0,a12)),
inference(superposition,[status(thm)],[c13,c2]) ).
cnf(d76,plain,
X0 = product(X0,X0),
inference(superposition,[status(thm)],[c0,d2]) ).
cnf(d77,plain,
product(a2,a12) = product(a14,product(a2,a12)),
inference(superposition,[status(thm)],[d76,d75]) ).
cnf(d78,plain,
a14 = product(a14,product(a2,a12)),
inference(demodulation,[status(thm)],[d77,c13]) ).
cnf(d79,plain,
a14 = product(a14,a14),
inference(demodulation,[status(thm)],[d78,c13]) ).
cnf(d80,plain,
a14 = a14,
inference(demodulation,[status(thm)],[d79,c0]) ).
cnf(d81,plain,
a7 = a14,
inference(demodulation,[status(thm)],[d80,d36]) ).
cnf(d82,plain,
a2 = a14,
inference(demodulation,[status(thm)],[d81,d63]) ).
cnf(d83,plain,
a3 = a14,
inference(demodulation,[status(thm)],[d82,d67]) ).
cnf(d84,plain,
a13 = product(a12,a3),
inference(superposition,[status(thm)],[c10,d2]) ).
cnf(d85,plain,
a13 = product(a2,a3),
inference(demodulation,[status(thm)],[d84,d58]) ).
cnf(d86,plain,
a13 = product(a3,a3),
inference(demodulation,[status(thm)],[d85,d67]) ).
cnf(d87,plain,
a13 = a3,
inference(demodulation,[status(thm)],[d86,c0]) ).
cnf(d88,plain,
a3 = a12,
inference(demodulation,[status(thm)],[d58,d67]) ).
cnf(d89,plain,
a11 = a3,
inference(demodulation,[status(thm)],[d55,d67]) ).
cnf(d90,plain,
product(a7,product(a3,a7)) = product(a8,a7),
inference(superposition,[status(thm)],[d52,d2]) ).
cnf(d91,plain,
product(a7,product(a3,a7)) = a11,
inference(demodulation,[status(thm)],[d90,d50]) ).
cnf(d92,plain,
product(a7,a12) = a11,
inference(demodulation,[status(thm)],[d91,d48]) ).
cnf(d93,plain,
product(a7,a2) = a11,
inference(demodulation,[status(thm)],[d92,d58]) ).
cnf(d94,plain,
a10 = a11,
inference(demodulation,[status(thm)],[d93,d12]) ).
cnf(d95,plain,
a10 = a2,
inference(demodulation,[status(thm)],[d94,d55]) ).
cnf(d96,plain,
a10 = a3,
inference(demodulation,[status(thm)],[d95,d67]) ).
cnf(d97,plain,
product(a10,a1) = a9,
inference(superposition,[status(thm)],[c8,c1]) ).
cnf(d98,plain,
product(a9,a10) = product(a10,product(a1,a10)),
inference(superposition,[status(thm)],[d97,d39]) ).
cnf(d99,plain,
product(a9,a10) = product(a10,a11),
inference(demodulation,[status(thm)],[d98,d15]) ).
cnf(d100,plain,
product(a9,a10) = a12,
inference(demodulation,[status(thm)],[d99,c9]) ).
cnf(d101,plain,
product(a12,a10) = a9,
inference(superposition,[status(thm)],[d100,c1]) ).
cnf(d102,plain,
product(a2,a10) = a9,
inference(demodulation,[status(thm)],[d101,d58]) ).
cnf(d103,plain,
product(a3,a10) = a9,
inference(demodulation,[status(thm)],[d102,d67]) ).
cnf(d104,plain,
product(a3,a3) = a9,
inference(demodulation,[status(thm)],[d103,d96]) ).
cnf(d105,plain,
a3 = a9,
inference(demodulation,[status(thm)],[d104,c0]) ).
cnf(d106,plain,
product(a2,a2) = a6,
inference(demodulation,[status(thm)],[d4,d63]) ).
cnf(d107,plain,
a2 = a6,
inference(demodulation,[status(thm)],[d106,c0]) ).
cnf(d108,plain,
a3 = a6,
inference(demodulation,[status(thm)],[d107,d67]) ).
cnf(d109,plain,
a5 = product(a10,a7),
inference(superposition,[status(thm)],[d44,d3]) ).
cnf(d110,plain,
a5 = product(a2,a7),
inference(demodulation,[status(thm)],[d109,d95]) ).
cnf(d111,plain,
a5 = product(a3,a7),
inference(demodulation,[status(thm)],[d110,d67]) ).
cnf(d112,plain,
a5 = product(a3,a3),
inference(demodulation,[status(thm)],[d111,d68]) ).
cnf(d113,plain,
a5 = a3,
inference(demodulation,[status(thm)],[d112,c0]) ).
cnf(d114,plain,
product(a2,a10) = a1,
inference(demodulation,[status(thm)],[c17,d55]) ).
cnf(d115,plain,
product(a3,a10) = a1,
inference(demodulation,[status(thm)],[d114,d67]) ).
cnf(d116,plain,
product(a3,a3) = a1,
inference(demodulation,[status(thm)],[d115,d96]) ).
cnf(d117,plain,
a3 = a1,
inference(demodulation,[status(thm)],[d116,c0]) ).
cnf(d118,plain,
tuple(a1,a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[c18,d28]) ).
cnf(d119,plain,
tuple(a1,a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d118,d28]) ).
cnf(d120,plain,
tuple(a3,a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d119,d117]) ).
cnf(d121,plain,
tuple(a3,a3,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d120,d67]) ).
cnf(d122,plain,
tuple(a3,a3,a3,a3,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d121,d73]) ).
cnf(d123,plain,
tuple(a3,a3,a3,a3,a3,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d122,d113]) ).
cnf(d124,plain,
tuple(a3,a3,a3,a3,a3,a3,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d123,d108]) ).
cnf(d125,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d124,d68]) ).
cnf(d126,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d125,d73]) ).
cnf(d127,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d126,d105]) ).
cnf(d128,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a11,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d127,d96]) ).
cnf(d129,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a12,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d128,d89]) ).
cnf(d130,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d129,d88]) ).
cnf(d131,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a14) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d130,d87]) ).
cnf(d132,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a2,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d131,d83]) ).
cnf(d133,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a8,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d132,d67]) ).
cnf(d134,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d133,d73]) ).
cnf(d135,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d134,d113]) ).
cnf(d136,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d135,d108]) ).
cnf(d137,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d136,d68]) ).
cnf(d138,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d137,d73]) ).
cnf(d139,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d138,d105]) ).
cnf(d140,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d139,d96]) ).
cnf(d141,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[d140,d89]) ).
cnf(d142,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a13,a14,a15),
inference(demodulation,[status(thm)],[d141,d88]) ).
cnf(d143,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a14,a15),
inference(demodulation,[status(thm)],[d142,d87]) ).
cnf(d144,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a15),
inference(demodulation,[status(thm)],[d143,d83]) ).
cnf(d145,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[d144,d74]) ).
cnf(d146,plain,
product(product(X0,a4),a8) = product(product(X0,a8),a15),
inference(superposition,[status(thm)],[d29,c2]) ).
cnf(d147,plain,
product(product(X0,a8),a8) = product(product(X0,a8),a15),
inference(demodulation,[status(thm)],[d146,d28]) ).
cnf(d148,plain,
X0 = product(product(X0,a8),a15),
inference(demodulation,[status(thm)],[d147,c1]) ).
cnf(d149,plain,
X0 = product(product(X0,a8),a8),
inference(demodulation,[status(thm)],[d148,d32]) ).
cnf(d150,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d149,c1]) ).
cnf(d151,plain,
$false,
inference(resolution,[status(thm)],[d150,d145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP053-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 : Sat Sep 26 20:51:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 138.45/25.58 % SZS status Unsatisfiable for theBenchmark.p
% 138.45/25.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------