%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL159-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 07:53:53 AM UTC 2026
% Result : Unsatisfiable 90.14s 39.39s
% Output : CNFRefutation 90.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of clauses : 153 ( 153 unt; 0 nHn; 11 RR)
% Number of literals : 153 ( 152 equ; 5 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 217 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_alternative_wajsberg_axiom,negated_conjecture,
xor(x,xor(truth,y)) != xor(xor(x,truth),y) ).
cnf(wajsberg_1,axiom,
implies(truth,X0) = X0 ).
cnf(wajsberg_2,axiom,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth ).
cnf(wajsberg_3,axiom,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0) ).
cnf(wajsberg_4,axiom,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth ).
cnf(or_definition,axiom,
or(X0,X1) = implies(not(X0),X1) ).
cnf(or_associativity,axiom,
or(or(X0,X1),X2) = or(X0,or(X1,X2)) ).
cnf(or_commutativity,axiom,
or(X0,X1) = or(X1,X0) ).
cnf(and_definition,axiom,
and(X0,X1) = not(or(not(X0),not(X1))) ).
cnf(and_associativity,axiom,
and(and(X0,X1),X2) = and(X0,and(X1,X2)) ).
cnf(and_commutativity,axiom,
and(X0,X1) = and(X1,X0) ).
cnf(xor_definition,axiom,
xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)) ).
cnf(xor_commutativity,axiom,
xor(X0,X1) = xor(X1,X0) ).
cnf(false_definition,axiom,
not(truth) = falsehood ).
cnf(c0,plain,
xor(xor(x,truth),y) != xor(x,xor(truth,y)),
inference(clausification,[status(esa)],[prove_alternative_wajsberg_axiom]) ).
cnf(c1,plain,
implies(truth,X0) = X0,
inference(clausification,[status(esa)],[wajsberg_1]) ).
cnf(c2,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(clausification,[status(esa)],[wajsberg_2]) ).
cnf(c3,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(clausification,[status(esa)],[wajsberg_3]) ).
cnf(c4,plain,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(clausification,[status(esa)],[wajsberg_4]) ).
cnf(c5,plain,
implies(not(X0),X1) = or(X0,X1),
inference(clausification,[status(esa)],[or_definition]) ).
cnf(c6,plain,
or(X0,or(X1,X2)) = or(or(X0,X1),X2),
inference(clausification,[status(esa)],[or_associativity]) ).
cnf(c7,plain,
or(X0,X1) = or(X1,X0),
inference(clausification,[status(esa)],[or_commutativity]) ).
cnf(c8,plain,
not(or(not(X0),not(X1))) = and(X0,X1),
inference(clausification,[status(esa)],[and_definition]) ).
cnf(c9,plain,
and(X0,and(X1,X2)) = and(and(X0,X1),X2),
inference(clausification,[status(esa)],[and_associativity]) ).
cnf(c10,plain,
and(X0,X1) = and(X1,X0),
inference(clausification,[status(esa)],[and_commutativity]) ).
cnf(c11,plain,
or(and(X0,not(X1)),and(not(X0),X1)) = xor(X0,X1),
inference(clausification,[status(esa)],[xor_definition]) ).
cnf(c12,plain,
xor(X0,X1) = xor(X1,X0),
inference(clausification,[status(esa)],[xor_commutativity]) ).
cnf(c16,plain,
not(truth) = falsehood,
inference(clausification,[status(esa)],[false_definition]) ).
cnf(d0,plain,
implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c4,c5]) ).
cnf(d1,plain,
implies(or(X0,not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
implies(or(X0,falsehood),X0) = truth,
inference(demodulation,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
implies(or(falsehood,X0),X0) = truth,
inference(superposition,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d5,plain,
implies(X1,implies(implies(X1,X0),X0)) = truth,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
truth = implies(implies(truth,X0),X0),
inference(superposition,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
truth = implies(X0,X0),
inference(demodulation,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
truth = or(X0,not(X0)),
inference(superposition,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
implies(truth,not(falsehood)) = truth,
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
not(falsehood) = truth,
inference(demodulation,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
implies(truth,X0) = or(falsehood,X0),
inference(superposition,[status(thm)],[d10,c5]) ).
cnf(d12,plain,
X0 = or(falsehood,X0),
inference(demodulation,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
or(X0,falsehood) = X0,
inference(superposition,[status(thm)],[d12,c7]) ).
cnf(d14,plain,
implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d15,plain,
implies(X0,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[d14,d5]) ).
cnf(d16,plain,
implies(X0,truth) = truth,
inference(demodulation,[status(thm)],[d15,d7]) ).
cnf(d17,plain,
truth = or(X0,truth),
inference(superposition,[status(thm)],[d16,c5]) ).
cnf(d18,plain,
implies(falsehood,X0) = or(truth,X0),
inference(superposition,[status(thm)],[c16,c5]) ).
cnf(d19,plain,
implies(falsehood,X0) = or(X0,truth),
inference(superposition,[status(thm)],[d18,c7]) ).
cnf(d20,plain,
implies(falsehood,X0) = truth,
inference(demodulation,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(superposition,[status(thm)],[d20,c3]) ).
cnf(d22,plain,
implies(implies(X0,falsehood),falsehood) = X0,
inference(demodulation,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
implies(or(X0,falsehood),falsehood) = not(X0),
inference(superposition,[status(thm)],[c5,d22]) ).
cnf(d24,plain,
implies(X0,falsehood) = not(X0),
inference(demodulation,[status(thm)],[d23,d13]) ).
cnf(d25,plain,
not(implies(X0,falsehood)) = X0,
inference(demodulation,[status(thm)],[d22,d24]) ).
cnf(d26,plain,
not(not(X0)) = X0,
inference(demodulation,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
not(or(falsehood,not(X0))) = and(truth,X0),
inference(superposition,[status(thm)],[c16,c8]) ).
cnf(d28,plain,
not(not(X0)) = and(truth,X0),
inference(demodulation,[status(thm)],[d27,d12]) ).
cnf(d29,plain,
implies(and(truth,X0),X1) = or(or(falsehood,not(X0)),X1),
inference(superposition,[status(thm)],[d27,c5]) ).
cnf(d30,plain,
implies(not(not(X0)),X1) = or(or(falsehood,not(X0)),X1),
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
or(not(X0),X1) = or(or(falsehood,not(X0)),X1),
inference(demodulation,[status(thm)],[d30,c5]) ).
cnf(d32,plain,
or(not(X0),X1) = or(falsehood,or(not(X0),X1)),
inference(demodulation,[status(thm)],[d31,c6]) ).
cnf(d33,plain,
or(not(X0),X1) = or(not(X0),X1),
inference(demodulation,[status(thm)],[d32,d12]) ).
cnf(d34,plain,
X0 = or(X0,falsehood),
inference(superposition,[status(thm)],[d12,c7]) ).
cnf(d35,plain,
not(X0) = or(not(X0),falsehood),
inference(superposition,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
not(X0) = not(X0),
inference(demodulation,[status(thm)],[d35,d13]) ).
cnf(d37,plain,
not(or(not(X0),truth)) = and(X0,falsehood),
inference(superposition,[status(thm)],[d10,c8]) ).
cnf(d38,plain,
not(truth) = and(X0,falsehood),
inference(demodulation,[status(thm)],[d37,d17]) ).
cnf(d39,plain,
falsehood = and(X0,falsehood),
inference(demodulation,[status(thm)],[d38,c16]) ).
cnf(d40,plain,
not(or(not(X0),falsehood)) = and(X0,truth),
inference(superposition,[status(thm)],[c16,c8]) ).
cnf(d41,plain,
not(or(falsehood,not(X0))) = and(X0,truth),
inference(demodulation,[status(thm)],[d40,c7]) ).
cnf(d42,plain,
not(not(X0)) = and(X0,truth),
inference(demodulation,[status(thm)],[d41,d12]) ).
cnf(d43,plain,
not(or(falsehood,falsehood)) = and(truth,truth),
inference(superposition,[status(thm)],[c16,d27]) ).
cnf(d44,plain,
or(and(X0,and(truth,truth)),and(not(X0),or(falsehood,falsehood))) = xor(X0,or(falsehood,falsehood)),
inference(superposition,[status(thm)],[d43,c11]) ).
cnf(d45,plain,
or(and(X0,not(not(truth))),and(not(X0),or(falsehood,falsehood))) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d44,d28]) ).
cnf(d46,plain,
or(and(X0,not(falsehood)),and(not(X0),or(falsehood,falsehood))) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d45,c16]) ).
cnf(d47,plain,
or(and(X0,truth),and(not(X0),or(falsehood,falsehood))) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d46,d10]) ).
cnf(d48,plain,
or(not(not(X0)),and(not(X0),or(falsehood,falsehood))) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d47,d42]) ).
cnf(d49,plain,
or(not(not(X0)),and(not(X0),falsehood)) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d48,d12]) ).
cnf(d50,plain,
or(not(not(X0)),falsehood) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d49,d39]) ).
cnf(d51,plain,
not(not(X0)) = xor(X0,or(falsehood,falsehood)),
inference(demodulation,[status(thm)],[d50,d13]) ).
cnf(d52,plain,
not(not(X0)) = xor(X0,falsehood),
inference(demodulation,[status(thm)],[d51,d12]) ).
cnf(d53,plain,
xor(X0,falsehood) = not(not(X0)),
inference(superposition,[status(thm)],[d52,d36]) ).
cnf(d54,plain,
xor(X0,falsehood) = X0,
inference(demodulation,[status(thm)],[d53,d26]) ).
cnf(d55,plain,
X0 = xor(falsehood,X0),
inference(superposition,[status(thm)],[d54,c12]) ).
cnf(d56,plain,
falsehood = and(falsehood,X0),
inference(superposition,[status(thm)],[d39,c10]) ).
cnf(d57,plain,
or(and(truth,not(X0)),and(falsehood,X0)) = xor(truth,X0),
inference(superposition,[status(thm)],[c16,c11]) ).
cnf(d58,plain,
or(and(falsehood,X0),and(truth,not(X0))) = xor(truth,X0),
inference(demodulation,[status(thm)],[d57,c7]) ).
cnf(d59,plain,
or(falsehood,and(truth,not(X0))) = xor(truth,X0),
inference(demodulation,[status(thm)],[d58,d56]) ).
cnf(d60,plain,
and(truth,not(X0)) = xor(truth,X0),
inference(demodulation,[status(thm)],[d59,d12]) ).
cnf(d61,plain,
not(not(not(X0))) = xor(truth,X0),
inference(demodulation,[status(thm)],[d60,d28]) ).
cnf(d62,plain,
not(not(not(X0))) = xor(truth,X0),
inference(superposition,[status(thm)],[d61,d36]) ).
cnf(d63,plain,
xor(not(X0),falsehood) = xor(truth,X0),
inference(demodulation,[status(thm)],[d62,d52]) ).
cnf(d64,plain,
xor(falsehood,not(X0)) = xor(truth,X0),
inference(demodulation,[status(thm)],[d63,c12]) ).
cnf(d65,plain,
not(X0) = xor(truth,X0),
inference(demodulation,[status(thm)],[d64,d55]) ).
cnf(d66,plain,
or(and(X0,falsehood),and(not(X0),truth)) = xor(X0,truth),
inference(superposition,[status(thm)],[c16,c11]) ).
cnf(d67,plain,
or(falsehood,and(not(X0),truth)) = xor(X0,truth),
inference(demodulation,[status(thm)],[d66,d39]) ).
cnf(d68,plain,
and(not(X0),truth) = xor(X0,truth),
inference(demodulation,[status(thm)],[d67,d12]) ).
cnf(d69,plain,
not(not(not(X0))) = xor(X0,truth),
inference(demodulation,[status(thm)],[d68,d42]) ).
cnf(d70,plain,
xor(X0,truth) = not(not(not(X0))),
inference(superposition,[status(thm)],[d69,d36]) ).
cnf(d71,plain,
xor(X0,truth) = xor(not(X0),falsehood),
inference(demodulation,[status(thm)],[d70,d52]) ).
cnf(d72,plain,
xor(X0,truth) = xor(falsehood,not(X0)),
inference(demodulation,[status(thm)],[d71,c12]) ).
cnf(d73,plain,
xor(X0,falsehood) = and(X0,truth),
inference(demodulation,[status(thm)],[d42,d52]) ).
cnf(d74,plain,
and(truth,X0) = not(not(X0)),
inference(superposition,[status(thm)],[d42,c10]) ).
cnf(d75,plain,
and(truth,X0) = xor(X0,falsehood),
inference(demodulation,[status(thm)],[d74,d52]) ).
cnf(d76,plain,
not(or(falsehood,and(truth,X0))) = and(or(falsehood,not(X0)),truth),
inference(superposition,[status(thm)],[d27,d41]) ).
cnf(d77,plain,
not(and(truth,X0)) = and(or(falsehood,not(X0)),truth),
inference(demodulation,[status(thm)],[d76,d12]) ).
cnf(d78,plain,
not(xor(X0,falsehood)) = and(or(falsehood,not(X0)),truth),
inference(demodulation,[status(thm)],[d77,d75]) ).
cnf(d79,plain,
not(xor(X0,falsehood)) = xor(or(falsehood,not(X0)),falsehood),
inference(demodulation,[status(thm)],[d78,d73]) ).
cnf(d80,plain,
not(xor(X0,falsehood)) = xor(falsehood,or(falsehood,not(X0))),
inference(demodulation,[status(thm)],[d79,c12]) ).
cnf(d81,plain,
not(xor(X0,falsehood)) = xor(falsehood,not(X0)),
inference(demodulation,[status(thm)],[d80,d12]) ).
cnf(d82,plain,
not(xor(X0,falsehood)) = xor(X0,truth),
inference(demodulation,[status(thm)],[d81,d72]) ).
cnf(d83,plain,
xor(X0,truth) = not(xor(X0,falsehood)),
inference(superposition,[status(thm)],[d82,d36]) ).
cnf(d84,plain,
xor(X0,truth) = not(X0),
inference(demodulation,[status(thm)],[d83,d54]) ).
cnf(d85,plain,
xor(y,xor(x,truth)) != xor(x,xor(truth,y)),
inference(demodulation,[status(thm)],[c0,c12]) ).
cnf(d86,plain,
xor(y,not(x)) != xor(x,xor(truth,y)),
inference(demodulation,[status(thm)],[d85,d84]) ).
cnf(d87,plain,
xor(y,not(x)) != xor(x,not(y)),
inference(demodulation,[status(thm)],[d86,d65]) ).
cnf(d88,plain,
implies(X0,X1) = or(not(X0),X1),
inference(superposition,[status(thm)],[d26,c5]) ).
cnf(d89,plain,
and(X0,truth) = not(not(X0)),
inference(superposition,[status(thm)],[d28,c10]) ).
cnf(d90,plain,
and(X0,truth) = xor(X0,falsehood),
inference(demodulation,[status(thm)],[d89,d52]) ).
cnf(d91,plain,
and(X0,truth) = X0,
inference(demodulation,[status(thm)],[d90,d54]) ).
cnf(d92,plain,
implies(X0,X1) = or(X1,not(X0)),
inference(superposition,[status(thm)],[d88,c7]) ).
cnf(d93,plain,
not(or(not(X2),and(X0,X1))) = and(X2,or(not(X0),not(X1))),
inference(superposition,[status(thm)],[c8,c8]) ).
cnf(d94,plain,
or(and(X2,and(X0,X1)),and(not(X2),or(not(X0),not(X1)))) = xor(X2,or(not(X0),not(X1))),
inference(superposition,[status(thm)],[c8,c11]) ).
cnf(d95,plain,
or(and(X0,and(X1,X2)),not(or(not(not(X0)),and(X1,X2)))) = xor(X0,or(not(X1),not(X2))),
inference(demodulation,[status(thm)],[d94,d93]) ).
cnf(d96,plain,
or(and(X1,and(X0,truth)),not(or(not(not(X1)),not(not(X0))))) = xor(X1,or(not(X0),not(truth))),
inference(superposition,[status(thm)],[d89,d95]) ).
cnf(d97,plain,
implies(or(not(not(X0)),not(not(X1))),and(X0,and(X1,truth))) = xor(X0,or(not(X1),not(truth))),
inference(demodulation,[status(thm)],[d96,d92]) ).
cnf(d98,plain,
implies(implies(not(X0),not(not(X1))),and(X0,and(X1,truth))) = xor(X0,or(not(X1),not(truth))),
inference(demodulation,[status(thm)],[d97,d88]) ).
cnf(d99,plain,
implies(or(X0,not(not(X1))),and(X0,and(X1,truth))) = xor(X0,or(not(X1),not(truth))),
inference(demodulation,[status(thm)],[d98,c5]) ).
cnf(d100,plain,
implies(implies(not(X1),X0),and(X0,and(X1,truth))) = xor(X0,or(not(X1),not(truth))),
inference(demodulation,[status(thm)],[d99,d92]) ).
cnf(d101,plain,
implies(or(X0,X1),and(X1,and(X0,truth))) = xor(X1,or(not(X0),not(truth))),
inference(demodulation,[status(thm)],[d100,c5]) ).
cnf(d102,plain,
implies(or(X0,X1),and(X1,X0)) = xor(X1,or(not(X0),not(truth))),
inference(demodulation,[status(thm)],[d101,d91]) ).
cnf(d103,plain,
implies(or(X0,X1),and(X1,X0)) = xor(X1,implies(X0,not(truth))),
inference(demodulation,[status(thm)],[d102,d88]) ).
cnf(d104,plain,
implies(or(X0,X1),and(X1,X0)) = xor(X1,implies(X0,falsehood)),
inference(demodulation,[status(thm)],[d103,c16]) ).
cnf(d105,plain,
implies(or(X0,X1),and(X1,X0)) = xor(X1,not(X0)),
inference(demodulation,[status(thm)],[d104,d24]) ).
cnf(d106,plain,
xor(X0,falsehood) = and(truth,X0),
inference(demodulation,[status(thm)],[d28,d52]) ).
cnf(d107,plain,
X0 = and(truth,X0),
inference(demodulation,[status(thm)],[d106,d54]) ).
cnf(d108,plain,
not(or(and(X0,X1),not(X2))) = and(or(not(X0),not(X1)),X2),
inference(superposition,[status(thm)],[c8,c8]) ).
cnf(d109,plain,
or(and(or(not(X0),not(X1)),not(X2)),and(and(X0,X1),X2)) = xor(or(not(X0),not(X1)),X2),
inference(superposition,[status(thm)],[c8,c11]) ).
cnf(d110,plain,
or(and(and(X0,X1),X2),and(or(not(X0),not(X1)),not(X2))) = xor(or(not(X0),not(X1)),X2),
inference(demodulation,[status(thm)],[d109,c7]) ).
cnf(d111,plain,
or(and(X0,and(X1,X2)),and(or(not(X0),not(X1)),not(X2))) = xor(or(not(X0),not(X1)),X2),
inference(demodulation,[status(thm)],[d110,c9]) ).
cnf(d112,plain,
or(and(X0,and(X1,X2)),not(or(and(X0,X1),not(not(X2))))) = xor(or(not(X0),not(X1)),X2),
inference(demodulation,[status(thm)],[d111,d108]) ).
cnf(d113,plain,
or(not(not(and(X0,X1))),not(or(and(truth,X0),not(not(X1))))) = xor(or(not(truth),not(X0)),X1),
inference(superposition,[status(thm)],[d28,d112]) ).
cnf(d114,plain,
implies(not(and(X0,X1)),not(or(and(truth,X0),not(not(X1))))) = xor(or(not(truth),not(X0)),X1),
inference(demodulation,[status(thm)],[d113,d88]) ).
cnf(d115,plain,
or(and(X0,X1),not(or(and(truth,X0),not(not(X1))))) = xor(or(not(truth),not(X0)),X1),
inference(demodulation,[status(thm)],[d114,c5]) ).
cnf(d116,plain,
implies(or(and(truth,X0),not(not(X1))),and(X0,X1)) = xor(or(not(truth),not(X0)),X1),
inference(demodulation,[status(thm)],[d115,d92]) ).
cnf(d117,plain,
implies(implies(not(X1),and(truth,X0)),and(X0,X1)) = xor(or(not(truth),not(X0)),X1),
inference(demodulation,[status(thm)],[d116,d92]) ).
cnf(d118,plain,
implies(or(X0,and(truth,X1)),and(X1,X0)) = xor(or(not(truth),not(X1)),X0),
inference(demodulation,[status(thm)],[d117,c5]) ).
cnf(d119,plain,
implies(or(X1,X0),and(X0,X1)) = xor(or(not(truth),not(X0)),X1),
inference(demodulation,[status(thm)],[d118,d107]) ).
cnf(d120,plain,
xor(X1,not(X0)) = xor(or(not(truth),not(X1)),X0),
inference(demodulation,[status(thm)],[d119,d105]) ).
cnf(d121,plain,
xor(X0,not(X1)) = xor(implies(truth,not(X0)),X1),
inference(demodulation,[status(thm)],[d120,d88]) ).
cnf(d122,plain,
xor(X0,not(X1)) = xor(not(X0),X1),
inference(demodulation,[status(thm)],[d121,c1]) ).
cnf(d123,plain,
xor(X0,not(X1)) = xor(X1,not(X0)),
inference(superposition,[status(thm)],[d122,c12]) ).
cnf(d124,plain,
$false,
inference(resolution,[status(thm)],[d123,d87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL159-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 21:56:31 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.14/39.39 % SZS status Unsatisfiable for theBenchmark.p
% 90.14/39.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------