%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL191-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n018.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 : Mon Sep 7 12:28:17 PM UTC 2026 % Result : Unsatisfiable 67.59s 8.92s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL191-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.37 % Computer : n018.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 00:16:33 UTC 2026 % 0.09/0.37 % CPUTime : % 67.59/8.92 % SZS status Unsatisfiable % 67.59/8.92 % SZS output begin IncompleteProof % 67.59/8.92 cnf(c0, axiom, % 67.59/8.92 ~theorem(or(not(or(p,or(q,r))),or(or(p,q),r)))). % 67.59/8.92 cnf(c1, plain, % 67.59/8.92 ~theorem(or(not(or(p,or(q,r))),or(or(p,q),r))), % 67.59/8.92 inference(start, [], [c0])). % 67.59/8.92 % 67.59/8.92 cnf(c2, axiom, % 67.59/8.92 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 67.59/8.92 cnf(a0, assumption, % 67.59/8.92 or(not(or(p,or(q,r))),or(or(p,q),r)) = X1). % 67.59/8.92 cnf(c3, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 67.59/8.92 cnf(c4, plain, % 67.59/8.92 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 67.59/8.92 % 67.59/8.92 cnf(c5, axiom, % 67.59/8.92 ~theorem(X2) | ~theorem(or(not(X2),X3)) | theorem(X3)). % 67.59/8.92 cnf(a1, assumption, % 67.59/8.92 X0 = X3). % 67.59/8.92 cnf(c6, plain, % 67.59/8.92 ~theorem(or(not(X0),X1)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 67.59/8.92 cnf(c7, plain, % 67.59/8.92 ~theorem(X2) | ~theorem(or(not(X2),X3)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 67.59/8.92 % 67.59/8.92 cnf(c8, axiom, % 67.59/8.92 ~axiom(X4) | theorem(X4)). % 67.59/8.92 cnf(a2, assumption, % 67.59/8.92 X2 = X4). % 67.59/8.92 cnf(c9, plain, % 67.59/8.92 ~theorem(or(not(X2),X3)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 67.59/8.92 cnf(c10, plain, % 67.59/8.92 ~axiom(X4), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 67.59/8.92 % 67.59/8.92 cnf(c11, axiom, % 67.59/8.92 axiom(or(not(or(X5,X6)),or(X6,X5)))). % 67.59/8.92 cnf(a3, assumption, % 67.59/8.92 X4 = or(not(or(X5,X6)),or(X6,X5))). % 67.59/8.92 cnf(c12, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 67.59/8.92 cnf(c13, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 67.59/8.92 % 67.59/8.92 cnf(c14, axiom, % 67.59/8.92 ~axiom(X7) | theorem(X7)). % 67.59/8.92 cnf(a4, assumption, % 67.59/8.92 or(not(X2),X3) = X7). % 67.59/8.92 cnf(c15, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 67.59/8.92 cnf(c16, plain, % 67.59/8.92 ~axiom(X7), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 67.59/8.92 % 67.59/8.92 cnf(c17, axiom, % 67.59/8.92 axiom(or(not(or(not(X8),X9)),or(not(or(X10,X8)),or(X10,X9))))). % 67.59/8.92 cnf(a5, assumption, % 67.59/8.92 X7 = or(not(or(not(X8),X9)),or(not(or(X10,X8)),or(X10,X9)))). % 67.59/8.92 cnf(c18, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 67.59/8.92 cnf(c19, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 67.59/8.92 % 67.59/8.92 cnf(c20, axiom, % 67.59/8.92 ~theorem(X11) | ~theorem(or(not(X11),X12)) | theorem(X12)). % 67.59/8.92 cnf(a6, assumption, % 67.59/8.92 or(not(X0),X1) = X12). % 67.59/8.92 cnf(c21, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])). % 67.59/8.92 cnf(c22, plain, % 67.59/8.92 ~theorem(X11) | ~theorem(or(not(X11),X12)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])). % 67.59/8.92 % 67.59/8.92 cnf(c23, axiom, % 67.59/8.92 ~theorem(X13) | ~theorem(or(not(X13),X14)) | theorem(X14)). % 67.59/8.92 cnf(a7, assumption, % 67.59/8.92 X11 = X14). % 67.59/8.92 cnf(c24, plain, % 67.59/8.92 ~theorem(or(not(X11),X12)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 67.59/8.92 cnf(c25, plain, % 67.59/8.92 ~theorem(X13) | ~theorem(or(not(X13),X14)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 67.59/8.92 % 67.59/8.92 cnf(c26, axiom, % 67.59/8.92 ~axiom(X15) | theorem(X15)). % 67.59/8.92 cnf(a8, assumption, % 67.59/8.92 X13 = X15). % 67.59/8.92 cnf(c27, plain, % 67.59/8.92 ~theorem(or(not(X13),X14)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 67.59/8.92 cnf(c28, plain, % 67.59/8.92 ~axiom(X15), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 67.59/8.92 % 67.59/8.92 cnf(c29, axiom, % 67.59/8.92 axiom(or(not(or(X16,or(X17,X18))),or(X17,or(X16,X18))))). % 67.59/8.92 cnf(a9, assumption, % 67.59/8.92 X15 = or(not(or(X16,or(X17,X18))),or(X17,or(X16,X18)))). % 67.59/8.92 cnf(c30, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 67.59/8.92 cnf(c31, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 67.59/8.92 % 67.59/8.92 cnf(c32, axiom, % 67.59/8.92 ~theorem(X19) | ~theorem(or(not(X19),X20)) | theorem(X20)). % 67.59/8.92 cnf(a10, assumption, % 67.59/8.92 or(not(X13),X14) = X20). % 67.59/8.92 cnf(c33, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a10])], [c27, c32])). % 67.59/8.92 cnf(c34, plain, % 67.59/8.92 ~theorem(X19) | ~theorem(or(not(X19),X20)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a10])], [c27, c32])). % 67.59/8.92 % 67.59/8.92 cnf(c35, axiom, % 67.59/8.92 ~axiom(X21) | theorem(X21)). % 67.59/8.92 cnf(a11, assumption, % 67.59/8.92 X19 = X21). % 67.59/8.92 cnf(c36, plain, % 67.59/8.92 ~theorem(or(not(X19),X20)), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 67.59/8.92 cnf(c37, plain, % 67.59/8.92 ~axiom(X21), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 67.59/8.92 % 67.59/8.92 cnf(c38, axiom, % 67.59/8.92 axiom(or(not(or(X22,X23)),or(X23,X22)))). % 67.59/8.92 cnf(a12, assumption, % 67.59/8.92 X21 = or(not(or(X22,X23)),or(X23,X22))). % 67.59/8.92 cnf(c39, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 67.59/8.92 cnf(c40, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])). % 67.59/8.92 % 67.59/8.92 cnf(c41, axiom, % 67.59/8.92 ~axiom(X24) | theorem(X24)). % 67.59/8.92 cnf(a13, assumption, % 67.59/8.92 or(not(X19),X20) = X24). % 67.59/8.92 cnf(c42, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a13])], [c36, c41])). % 67.59/8.92 cnf(c43, plain, % 67.59/8.92 ~axiom(X24), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a13])], [c36, c41])). % 67.59/8.92 % 67.59/8.92 cnf(c44, axiom, % 67.59/8.92 axiom(or(not(or(not(X25),X26)),or(not(or(X27,X25)),or(X27,X26))))). % 67.59/8.92 cnf(a14, assumption, % 67.59/8.92 X24 = or(not(or(not(X25),X26)),or(not(or(X27,X25)),or(X27,X26)))). % 67.59/8.92 cnf(c45, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 67.59/8.92 cnf(c46, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a14])], [c43, c44])). % 67.59/8.92 % 67.59/8.92 cnf(c47, axiom, % 67.59/8.92 ~axiom(X28) | theorem(X28)). % 67.59/8.92 cnf(a15, assumption, % 67.59/8.92 or(not(X11),X12) = X28). % 67.59/8.92 cnf(c48, plain, % 67.59/8.92 $false, % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a15])], [c24, c47])). % 67.59/8.92 cnf(c49, plain, % 67.59/8.92 ~axiom(X28), % 67.59/8.92 inference(strict_predicate_extension, [assumptions([a15])], [c24, c47])). % 67.59/8.93 % 67.59/8.93 cnf(c50, axiom, % 67.59/8.93 axiom(or(not(or(not(X29),X30)),or(not(or(X31,X29)),or(X31,X30))))). % 67.59/8.93 cnf(a16, assumption, % 67.59/8.93 X28 = or(not(or(not(X29),X30)),or(not(or(X31,X29)),or(X31,X30)))). % 67.59/8.93 cnf(c51, plain, % 67.59/8.93 $false, % 67.59/8.93 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 67.59/8.93 cnf(c52, plain, % 67.59/8.93 $false, % 67.59/8.93 inference(strict_predicate_extension, [assumptions([a16])], [c49, c50])). % 67.59/8.93 % 67.59/8.93 cnf(c53, plain, % 67.59/8.93 $false, % 67.59/8.93 inference(constraint_solving, [ % 67.59/8.93 bind(X0, or(not(or(X10,X8)),or(X10,X9))), % 67.59/8.93 bind(X1, or(not(or(p,or(q,r))),or(or(p,q),r))), % 67.59/8.93 bind(X2, or(not(or(X5,X6)),or(X6,X5))), % 67.59/8.93 bind(X3, or(not(or(X10,X8)),or(X10,X9))), % 67.59/8.93 bind(X4, or(not(or(X5,X6)),or(X6,X5))), % 67.59/8.93 bind(X5, q), % 67.59/8.93 bind(X6, r), % 67.59/8.93 bind(X7, or(not(X2),X3)), % 67.59/8.93 bind(X8, or(X5,X6)), % 67.59/8.93 bind(X9, or(X6,X5)), % 67.59/8.93 bind(X10, p), % 67.59/8.93 bind(X11, or(X27,X26)), % 67.59/8.93 bind(X12, or(not(X0),X1)), % 67.59/8.93 bind(X13, or(not(or(X16,or(X17,X18))),or(X17,or(X16,X18)))), % 67.59/8.93 bind(X14, or(X27,X26)), % 67.59/8.93 bind(X15, or(not(or(X16,or(X17,X18))),or(X17,or(X16,X18)))), % 67.59/8.93 bind(X16, p), % 67.59/8.93 bind(X17, r), % 67.59/8.93 bind(X18, q), % 67.59/8.93 bind(X19, or(not(or(X22,X23)),or(X23,X22))), % 67.59/8.93 bind(X20, or(not(X13),X14)), % 67.59/8.93 bind(X21, or(not(or(X22,X23)),or(X23,X22))), % 67.59/8.93 bind(X22, r), % 67.59/8.93 bind(X23, or(X16,X18)), % 67.59/8.93 bind(X24, or(not(X19),X20)), % 67.59/8.93 bind(X25, or(X22,X23)), % 67.59/8.93 bind(X26, or(X23,X22)), % 67.59/8.93 bind(X27, not(or(X16,or(X17,X18)))), % 67.59/8.93 bind(X28, or(not(X11),X12)), % 67.59/8.93 bind(X29, or(X16,or(X17,X18))), % 67.59/8.93 bind(X30, or(X23,X22)), % 67.59/8.93 bind(X31, not(or(X10,X8))) % 67.59/8.93 ], % 67.59/8.93 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 67.59/8.93 % 67.59/8.93 % SZS output end IncompleteProof %------------------------------------------------------------------------------