%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ030-1 : 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 : 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 08:22:07 AM UTC 2026
% Result : Unsatisfiable 13.35s 3.46s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 35
% Syntax : Number of clauses : 178 ( 3 unt; 118 nHn; 173 RR)
% Number of literals : 543 ( 0 equ; 132 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(both1,axiom,
( salt(X0)
| ~ both(X0) ) ).
cnf(both2,axiom,
( mustard(X0)
| ~ both(X0) ) ).
cnf(both3,axiom,
( both(X0)
| ~ mustard(X0)
| ~ salt(X0) ) ).
cnf(oneof2,axiom,
( ~ both(X0)
| ~ oneof(X0) ) ).
cnf(oneof3,axiom,
( ~ neither(X0)
| ~ oneof(X0) ) ).
cnf(one_condition_holds1,axiom,
( oneof(X0)
| neither(X0)
| both(X0) ) ).
cnf(neither2,axiom,
( ~ salt(X0)
| ~ neither(X0) ) ).
cnf(neither3,axiom,
( ~ mustard(X0)
| ~ neither(X0) ) ).
cnf(neither4,axiom,
( neither(X0)
| mustard(X0)
| salt(X0) ) ).
cnf(rule1_1,hypothesis,
( oneof(lang)
| oneof(cole)
| ~ salt(barry) ) ).
cnf(rule1_2,hypothesis,
( salt(barry)
| ~ oneof(cole) ) ).
cnf(rule1_3,hypothesis,
( salt(barry)
| ~ oneof(lang) ) ).
cnf(rule2_1,hypothesis,
( both(mill)
| neither(dix)
| ~ mustard(barry) ) ).
cnf(rule2_2,hypothesis,
( mustard(barry)
| ~ neither(dix) ) ).
cnf(rule3_1,hypothesis,
( neither(mill)
| oneof(barry)
| ~ salt(cole) ) ).
cnf(rule3_2,hypothesis,
( salt(cole)
| ~ oneof(barry) ) ).
cnf(rule4_1,hypothesis,
( both(lang)
| both(dix)
| ~ mustard(cole) ) ).
cnf(rule4_2,hypothesis,
( mustard(cole)
| ~ both(dix) ) ).
cnf(rule4_3,hypothesis,
( mustard(cole)
| ~ both(lang) ) ).
cnf(rule5_1,hypothesis,
( both(cole)
| neither(barry)
| ~ salt(dix) ) ).
cnf(rule5_3,hypothesis,
( salt(dix)
| ~ both(cole) ) ).
cnf(rule6_1,hypothesis,
( neither(mill)
| neither(lang)
| ~ mustard(dix) ) ).
cnf(rule6_2,hypothesis,
( mustard(dix)
| ~ neither(lang) ) ).
cnf(rule6_3,hypothesis,
( mustard(dix)
| ~ neither(mill) ) ).
cnf(rule7_2,hypothesis,
( salt(lang)
| ~ oneof(barry) ) ).
cnf(rule7_3,hypothesis,
( salt(lang)
| ~ oneof(dix) ) ).
cnf(rule8_1,hypothesis,
( neither(mill)
| neither(cole)
| ~ mustard(lang) ) ).
cnf(rule8_2,hypothesis,
( mustard(lang)
| ~ neither(cole) ) ).
cnf(rule8_3,hypothesis,
( mustard(lang)
| ~ neither(mill) ) ).
cnf(rule9_1,hypothesis,
( both(lang)
| both(barry)
| ~ salt(mill) ) ).
cnf(rule9_3,hypothesis,
( mustard(mill)
| ~ both(lang) ) ).
cnf(rule10_1,hypothesis,
( oneof(dix)
| oneof(cole)
| ~ mustard(mill) ) ).
cnf(rule10_2,hypothesis,
( mustard(mill)
| ~ oneof(cole) ) ).
cnf(rule10_3,hypothesis,
( mustard(mill)
| ~ oneof(dix) ) ).
cnf(prove_who_takes_what,negated_conjecture,
( ~ oneof(mill)
| ~ mustard(lang)
| ~ salt(mill)
| ~ oneof(lang)
| ~ both(barry)
| ~ neither(dix)
| ~ neither(cole) ) ).
cnf(c0,plain,
( salt(X0)
| ~ both(X0) ),
inference(clausification,[status(esa)],[both1]) ).
cnf(c1,plain,
( mustard(X0)
| ~ both(X0) ),
inference(clausification,[status(esa)],[both2]) ).
cnf(c2,plain,
( both(X0)
| ~ mustard(X0)
| ~ salt(X0) ),
inference(clausification,[status(esa)],[both3]) ).
cnf(c4,plain,
( ~ both(X0)
| ~ oneof(X0) ),
inference(clausification,[status(esa)],[oneof2]) ).
cnf(c5,plain,
( ~ neither(X0)
| ~ oneof(X0) ),
inference(clausification,[status(esa)],[oneof3]) ).
cnf(c6,plain,
( oneof(X0)
| neither(X0)
| both(X0) ),
inference(clausification,[status(esa)],[one_condition_holds1]) ).
cnf(c9,plain,
( ~ salt(X0)
| ~ neither(X0) ),
inference(clausification,[status(esa)],[neither2]) ).
cnf(c10,plain,
( ~ mustard(X0)
| ~ neither(X0) ),
inference(clausification,[status(esa)],[neither3]) ).
cnf(c11,plain,
( neither(X0)
| mustard(X0)
| salt(X0) ),
inference(clausification,[status(esa)],[neither4]) ).
cnf(c12,plain,
( oneof(lang)
| oneof(cole)
| ~ salt(barry) ),
inference(clausification,[status(esa)],[rule1_1]) ).
cnf(c13,plain,
( salt(barry)
| ~ oneof(cole) ),
inference(clausification,[status(esa)],[rule1_2]) ).
cnf(c14,plain,
( salt(barry)
| ~ oneof(lang) ),
inference(clausification,[status(esa)],[rule1_3]) ).
cnf(c15,plain,
( both(mill)
| neither(dix)
| ~ mustard(barry) ),
inference(clausification,[status(esa)],[rule2_1]) ).
cnf(c16,plain,
( mustard(barry)
| ~ neither(dix) ),
inference(clausification,[status(esa)],[rule2_2]) ).
cnf(c18,plain,
( neither(mill)
| oneof(barry)
| ~ salt(cole) ),
inference(clausification,[status(esa)],[rule3_1]) ).
cnf(c19,plain,
( salt(cole)
| ~ oneof(barry) ),
inference(clausification,[status(esa)],[rule3_2]) ).
cnf(c21,plain,
( both(lang)
| both(dix)
| ~ mustard(cole) ),
inference(clausification,[status(esa)],[rule4_1]) ).
cnf(c22,plain,
( mustard(cole)
| ~ both(dix) ),
inference(clausification,[status(esa)],[rule4_2]) ).
cnf(c23,plain,
( mustard(cole)
| ~ both(lang) ),
inference(clausification,[status(esa)],[rule4_3]) ).
cnf(c24,plain,
( both(cole)
| neither(barry)
| ~ salt(dix) ),
inference(clausification,[status(esa)],[rule5_1]) ).
cnf(c26,plain,
( salt(dix)
| ~ both(cole) ),
inference(clausification,[status(esa)],[rule5_3]) ).
cnf(c27,plain,
( neither(mill)
| neither(lang)
| ~ mustard(dix) ),
inference(clausification,[status(esa)],[rule6_1]) ).
cnf(c28,plain,
( mustard(dix)
| ~ neither(lang) ),
inference(clausification,[status(esa)],[rule6_2]) ).
cnf(c29,plain,
( mustard(dix)
| ~ neither(mill) ),
inference(clausification,[status(esa)],[rule6_3]) ).
cnf(c31,plain,
( salt(lang)
| ~ oneof(barry) ),
inference(clausification,[status(esa)],[rule7_2]) ).
cnf(c32,plain,
( salt(lang)
| ~ oneof(dix) ),
inference(clausification,[status(esa)],[rule7_3]) ).
cnf(c33,plain,
( neither(mill)
| neither(cole)
| ~ mustard(lang) ),
inference(clausification,[status(esa)],[rule8_1]) ).
cnf(c34,plain,
( mustard(lang)
| ~ neither(cole) ),
inference(clausification,[status(esa)],[rule8_2]) ).
cnf(c35,plain,
( mustard(lang)
| ~ neither(mill) ),
inference(clausification,[status(esa)],[rule8_3]) ).
cnf(c36,plain,
( both(lang)
| both(barry)
| ~ salt(mill) ),
inference(clausification,[status(esa)],[rule9_1]) ).
cnf(c38,plain,
( mustard(mill)
| ~ both(lang) ),
inference(clausification,[status(esa)],[rule9_3]) ).
cnf(c39,plain,
( oneof(dix)
| oneof(cole)
| ~ mustard(mill) ),
inference(clausification,[status(esa)],[rule10_1]) ).
cnf(c40,plain,
( mustard(mill)
| ~ oneof(cole) ),
inference(clausification,[status(esa)],[rule10_2]) ).
cnf(c41,plain,
( mustard(mill)
| ~ oneof(dix) ),
inference(clausification,[status(esa)],[rule10_3]) ).
cnf(c42,plain,
( ~ oneof(lang)
| ~ neither(cole)
| ~ neither(dix)
| ~ mustard(lang)
| ~ both(barry)
| ~ oneof(mill)
| ~ salt(mill) ),
inference(clausification,[status(esa)],[prove_who_takes_what]) ).
cnf(d0,plain,
( neither(cole)
| oneof(cole)
| salt(dix) ),
inference(resolution,[status(thm)],[c26,c6]) ).
cnf(d1,plain,
( mustard(mill)
| neither(cole)
| salt(dix) ),
inference(resolution,[status(thm)],[d0,c40]) ).
cnf(d2,plain,
( mustard(X0)
| neither(X0)
| oneof(X0) ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
( mustard(mill)
| neither(dix)
| mustard(dix) ),
inference(resolution,[status(thm)],[d2,c41]) ).
cnf(d4,plain,
( ~ salt(dix)
| mustard(mill)
| mustard(dix) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( neither(cole)
| mustard(mill)
| mustard(mill)
| mustard(dix) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( mustard(lang)
| mustard(mill)
| mustard(dix) ),
inference(resolution,[status(thm)],[d5,c34]) ).
cnf(d7,plain,
( neither(mill)
| neither(lang)
| mustard(mill)
| mustard(lang) ),
inference(resolution,[status(thm)],[d6,c27]) ).
cnf(d8,plain,
( mustard(lang)
| neither(lang)
| mustard(mill)
| mustard(lang) ),
inference(resolution,[status(thm)],[d7,c35]) ).
cnf(d9,plain,
( ~ oneof(lang)
| mustard(mill)
| mustard(lang) ),
inference(resolution,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
( neither(mill)
| mustard(mill)
| both(lang)
| both(barry) ),
inference(resolution,[status(thm)],[c36,c11]) ).
cnf(d11,plain,
( salt(barry)
| neither(mill)
| mustard(mill)
| both(lang) ),
inference(resolution,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
( mustard(mill)
| neither(mill)
| mustard(mill)
| salt(barry) ),
inference(resolution,[status(thm)],[d11,c38]) ).
cnf(d13,plain,
( oneof(lang)
| oneof(cole)
| neither(mill)
| mustard(mill) ),
inference(resolution,[status(thm)],[d12,c12]) ).
cnf(d14,plain,
( mustard(mill)
| neither(mill)
| oneof(lang)
| mustard(mill) ),
inference(resolution,[status(thm)],[d13,c40]) ).
cnf(d15,plain,
( mustard(mill)
| mustard(lang)
| neither(mill)
| mustard(mill) ),
inference(resolution,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
( mustard(lang)
| mustard(mill)
| mustard(lang) ),
inference(resolution,[status(thm)],[d15,c35]) ).
cnf(d17,plain,
( oneof(dix)
| oneof(cole)
| mustard(lang) ),
inference(resolution,[status(thm)],[d16,c39]) ).
cnf(d18,plain,
( ~ both(dix)
| oneof(cole)
| mustard(lang) ),
inference(resolution,[status(thm)],[d17,c4]) ).
cnf(d19,plain,
( neither(cole)
| mustard(cole)
| neither(mill)
| oneof(barry) ),
inference(resolution,[status(thm)],[c18,c11]) ).
cnf(d20,plain,
( ~ both(barry)
| neither(mill)
| neither(cole)
| mustard(cole) ),
inference(resolution,[status(thm)],[d19,c4]) ).
cnf(d21,plain,
( salt(barry)
| neither(cole)
| mustard(cole) ),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d22,plain,
( mustard(cole)
| neither(dix)
| oneof(dix) ),
inference(resolution,[status(thm)],[c6,c22]) ).
cnf(d23,plain,
( salt(lang)
| neither(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d22,c32]) ).
cnf(d24,plain,
( mustard(cole)
| neither(lang)
| oneof(lang) ),
inference(resolution,[status(thm)],[c6,c23]) ).
cnf(d25,plain,
( salt(barry)
| neither(lang)
| mustard(cole) ),
inference(resolution,[status(thm)],[d24,c14]) ).
cnf(d26,plain,
( neither(dix)
| mustard(dix)
| neither(barry)
| both(cole) ),
inference(resolution,[status(thm)],[c24,c11]) ).
cnf(d27,plain,
( mustard(cole)
| neither(dix)
| neither(barry)
| mustard(dix) ),
inference(resolution,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
( mustard(barry)
| neither(barry)
| mustard(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d27,c16]) ).
cnf(d29,plain,
( ~ salt(barry)
| mustard(dix)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d28,c9]) ).
cnf(d30,plain,
( neither(lang)
| mustard(cole)
| mustard(dix)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d29,d25]) ).
cnf(d31,plain,
( mustard(dix)
| mustard(dix)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d30,c28]) ).
cnf(d32,plain,
( neither(mill)
| neither(lang)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d31,c27]) ).
cnf(d33,plain,
( mustard(lang)
| neither(lang)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d32,c35]) ).
cnf(d34,plain,
( ~ salt(lang)
| mustard(lang)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d33,c9]) ).
cnf(d35,plain,
( neither(dix)
| mustard(cole)
| mustard(lang)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d34,d23]) ).
cnf(d36,plain,
( mustard(barry)
| mustard(lang)
| mustard(cole)
| mustard(barry) ),
inference(resolution,[status(thm)],[d35,c16]) ).
cnf(d37,plain,
( both(dix)
| both(lang)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d36,c21]) ).
cnf(d38,plain,
( oneof(cole)
| mustard(lang)
| mustard(lang)
| mustard(barry)
| both(lang) ),
inference(resolution,[status(thm)],[d37,d18]) ).
cnf(d39,plain,
( mustard(lang)
| oneof(cole)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d38,c1]) ).
cnf(d40,plain,
( salt(barry)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d39,c13]) ).
cnf(d41,plain,
( ~ both(cole)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d39,c4]) ).
cnf(d42,plain,
( salt(cole)
| neither(barry)
| mustard(barry) ),
inference(resolution,[status(thm)],[d2,c19]) ).
cnf(d43,plain,
( ~ salt(cole)
| both(cole)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d36,c2]) ).
cnf(d44,plain,
( neither(barry)
| mustard(barry)
| mustard(lang)
| mustard(barry)
| both(cole) ),
inference(resolution,[status(thm)],[d43,d42]) ).
cnf(d45,plain,
( mustard(lang)
| mustard(barry)
| neither(barry)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
( ~ salt(barry)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d45,c9]) ).
cnf(d47,plain,
( mustard(lang)
| mustard(barry)
| mustard(lang)
| mustard(barry) ),
inference(resolution,[status(thm)],[d46,d40]) ).
cnf(d48,plain,
( ~ salt(barry)
| both(barry)
| mustard(lang) ),
inference(resolution,[status(thm)],[d47,c2]) ).
cnf(d49,plain,
( neither(cole)
| mustard(cole)
| mustard(lang)
| both(barry) ),
inference(resolution,[status(thm)],[d48,d21]) ).
cnf(d50,plain,
( neither(mill)
| neither(cole)
| mustard(cole)
| neither(cole)
| mustard(lang)
| mustard(cole) ),
inference(resolution,[status(thm)],[d49,d20]) ).
cnf(d51,plain,
( mustard(lang)
| neither(mill)
| mustard(lang)
| mustard(cole) ),
inference(resolution,[status(thm)],[d50,c34]) ).
cnf(d52,plain,
( mustard(lang)
| mustard(lang)
| mustard(cole) ),
inference(resolution,[status(thm)],[d51,c35]) ).
cnf(d53,plain,
( both(dix)
| both(lang)
| mustard(lang) ),
inference(resolution,[status(thm)],[d52,c21]) ).
cnf(d54,plain,
( oneof(cole)
| mustard(lang)
| mustard(lang)
| both(lang) ),
inference(resolution,[status(thm)],[d53,d18]) ).
cnf(d55,plain,
( mustard(lang)
| oneof(cole)
| mustard(lang) ),
inference(resolution,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
( salt(barry)
| mustard(lang) ),
inference(resolution,[status(thm)],[d55,c13]) ).
cnf(d57,plain,
( ~ both(cole)
| mustard(lang) ),
inference(resolution,[status(thm)],[d55,c4]) ).
cnf(d58,plain,
( salt(dix)
| mustard(lang)
| both(lang) ),
inference(resolution,[status(thm)],[d53,c0]) ).
cnf(d59,plain,
( mustard(lang)
| mustard(lang)
| salt(dix) ),
inference(resolution,[status(thm)],[d58,c1]) ).
cnf(d60,plain,
( neither(barry)
| both(cole)
| mustard(lang) ),
inference(resolution,[status(thm)],[d59,c24]) ).
cnf(d61,plain,
( mustard(lang)
| neither(barry)
| mustard(lang) ),
inference(resolution,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
( ~ salt(barry)
| mustard(lang) ),
inference(resolution,[status(thm)],[d61,c9]) ).
cnf(d63,plain,
( mustard(lang)
| mustard(lang) ),
inference(resolution,[status(thm)],[d62,d56]) ).
cnf(d64,plain,
( neither(mill)
| neither(cole) ),
inference(resolution,[status(thm)],[d63,c33]) ).
cnf(d65,plain,
( ~ mustard(cole)
| neither(mill) ),
inference(resolution,[status(thm)],[d64,c10]) ).
cnf(d66,plain,
( ~ salt(lang)
| both(lang) ),
inference(resolution,[status(thm)],[d63,c2]) ).
cnf(d67,plain,
( neither(dix)
| mustard(cole)
| both(lang) ),
inference(resolution,[status(thm)],[d66,d23]) ).
cnf(d68,plain,
( mustard(cole)
| neither(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d67,c23]) ).
cnf(d69,plain,
( ~ mustard(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d68,c10]) ).
cnf(d70,plain,
( ~ oneof(cole)
| neither(mill) ),
inference(resolution,[status(thm)],[d64,c5]) ).
cnf(d71,plain,
( ~ oneof(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d68,c5]) ).
cnf(d72,plain,
( neither(lang)
| oneof(lang)
| mustard(mill) ),
inference(resolution,[status(thm)],[c38,c6]) ).
cnf(d73,plain,
( salt(barry)
| neither(lang)
| mustard(mill) ),
inference(resolution,[status(thm)],[d72,c14]) ).
cnf(d74,plain,
( salt(lang)
| neither(barry)
| mustard(barry) ),
inference(resolution,[status(thm)],[d2,c31]) ).
cnf(d75,plain,
( neither(barry)
| mustard(barry)
| both(lang) ),
inference(resolution,[status(thm)],[d66,d74]) ).
cnf(d76,plain,
( mustard(mill)
| neither(barry)
| mustard(barry) ),
inference(resolution,[status(thm)],[d75,c38]) ).
cnf(d77,plain,
( ~ salt(barry)
| mustard(mill)
| mustard(barry) ),
inference(resolution,[status(thm)],[d76,c9]) ).
cnf(d78,plain,
( neither(lang)
| mustard(mill)
| mustard(mill)
| mustard(barry) ),
inference(resolution,[status(thm)],[d77,d73]) ).
cnf(d79,plain,
( ~ mustard(lang)
| mustard(mill)
| mustard(barry) ),
inference(resolution,[status(thm)],[d78,c10]) ).
cnf(d80,plain,
( mustard(mill)
| mustard(barry) ),
inference(resolution,[status(thm)],[d63,d79]) ).
cnf(d81,plain,
( neither(dix)
| both(mill)
| mustard(mill) ),
inference(resolution,[status(thm)],[d80,c15]) ).
cnf(d82,plain,
( mustard(mill)
| neither(dix)
| mustard(mill) ),
inference(resolution,[status(thm)],[d81,c1]) ).
cnf(d83,plain,
( ~ salt(dix)
| mustard(mill) ),
inference(resolution,[status(thm)],[d82,c9]) ).
cnf(d84,plain,
( neither(cole)
| mustard(mill)
| mustard(mill) ),
inference(resolution,[status(thm)],[d83,d1]) ).
cnf(d85,plain,
( ~ mustard(cole)
| mustard(mill) ),
inference(resolution,[status(thm)],[d84,c10]) ).
cnf(d86,plain,
( ~ salt(barry)
| both(barry)
| mustard(mill) ),
inference(resolution,[status(thm)],[d80,c2]) ).
cnf(d87,plain,
( neither(mill)
| mustard(mill)
| mustard(mill)
| both(barry) ),
inference(resolution,[status(thm)],[d86,d12]) ).
cnf(d88,plain,
( mustard(mill)
| neither(cole)
| mustard(cole) ),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d89,plain,
( mustard(mill)
| neither(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d22,c41]) ).
cnf(d90,plain,
( ~ neither(cole)
| ~ oneof(mill)
| ~ oneof(lang)
| ~ mustard(lang)
| ~ salt(mill)
| ~ both(barry)
| mustard(mill)
| mustard(cole) ),
inference(resolution,[status(thm)],[d89,c42]) ).
cnf(d91,plain,
( mustard(mill)
| mustard(cole)
| ~ oneof(mill)
| ~ oneof(lang)
| mustard(mill)
| ~ mustard(lang)
| mustard(cole)
| ~ salt(mill)
| ~ both(barry) ),
inference(resolution,[status(thm)],[d90,d88]) ).
cnf(d92,plain,
( neither(mill)
| mustard(mill)
| ~ oneof(lang)
| mustard(mill)
| ~ mustard(lang)
| mustard(cole)
| ~ salt(mill)
| ~ both(barry) ),
inference(resolution,[status(thm)],[d91,d2]) ).
cnf(d93,plain,
( neither(mill)
| mustard(mill)
| neither(mill)
| mustard(mill)
| ~ mustard(lang)
| mustard(cole)
| ~ salt(mill)
| ~ both(barry) ),
inference(resolution,[status(thm)],[d92,d14]) ).
cnf(d94,plain,
( neither(mill)
| mustard(mill)
| mustard(cole)
| ~ salt(mill)
| ~ both(barry) ),
inference(resolution,[status(thm)],[d63,d93]) ).
cnf(d95,plain,
( neither(mill)
| mustard(mill)
| neither(mill)
| mustard(mill)
| mustard(cole)
| ~ both(barry) ),
inference(resolution,[status(thm)],[d94,c11]) ).
cnf(d96,plain,
( neither(mill)
| mustard(mill)
| neither(mill)
| mustard(mill)
| mustard(cole) ),
inference(resolution,[status(thm)],[d95,d87]) ).
cnf(d97,plain,
( mustard(dix)
| mustard(mill)
| mustard(cole) ),
inference(resolution,[status(thm)],[d96,c29]) ).
cnf(d98,plain,
( mustard(cole)
| mustard(mill)
| mustard(cole) ),
inference(resolution,[status(thm)],[d97,d69]) ).
cnf(d99,plain,
( mustard(mill)
| mustard(mill) ),
inference(resolution,[status(thm)],[d98,d85]) ).
cnf(d100,plain,
( oneof(dix)
| oneof(cole) ),
inference(resolution,[status(thm)],[d99,c39]) ).
cnf(d101,plain,
( mustard(cole)
| oneof(cole) ),
inference(resolution,[status(thm)],[d100,d71]) ).
cnf(d102,plain,
( neither(mill)
| mustard(cole) ),
inference(resolution,[status(thm)],[d101,d70]) ).
cnf(d103,plain,
( mustard(dix)
| mustard(cole) ),
inference(resolution,[status(thm)],[d102,c29]) ).
cnf(d104,plain,
( mustard(cole)
| mustard(cole) ),
inference(resolution,[status(thm)],[d103,d69]) ).
cnf(d105,plain,
neither(mill),
inference(resolution,[status(thm)],[d104,d65]) ).
cnf(d106,plain,
~ mustard(mill),
inference(resolution,[status(thm)],[d105,c10]) ).
cnf(d107,plain,
$false,
inference(resolution,[status(thm)],[d99,d106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n008.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 05:06:54 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.35/3.46 % SZS status Unsatisfiable for theBenchmark.p
% 13.35/3.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------