%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL231-1 : TPTP v9.3.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n002.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 12:28:23 PM UTC 2026 % Result : Unsatisfiable 3.51s 0.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL231-1 : TPTP v9.3.1. Released v1.1.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.07/0.34 % Computer : n002.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 21:53:06 UTC 2026 % 0.07/0.35 % CPUTime : % 3.51/0.82 % SZS status Unsatisfiable % 3.51/0.82 % SZS output begin IncompleteProof % 3.51/0.82 cnf(c0, axiom, % 3.51/0.82 ~theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r))))). % 3.51/0.82 cnf(c1, plain, % 3.51/0.82 ~theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))), % 3.51/0.82 inference(start, [], [c0])). % 3.51/0.82 % 3.51/0.82 cnf(c2, axiom, % 3.51/0.82 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 3.51/0.82 cnf(a0, assumption, % 3.51/0.82 or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r))) = or(not(X2),X1)). % 3.51/0.82 cnf(c3, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 3.51/0.82 cnf(c4, plain, % 3.51/0.82 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 3.51/0.82 % 3.51/0.82 cnf(c5, axiom, % 3.51/0.82 ~theorem(X3) | ~axiom(or(not(X3),X4)) | theorem(X4)). % 3.51/0.82 cnf(a1, assumption, % 3.51/0.82 or(not(X0),X1) = X4). % 3.51/0.82 cnf(c6, plain, % 3.51/0.82 ~axiom(or(not(X2),X0)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 3.51/0.82 cnf(c7, plain, % 3.51/0.82 ~theorem(X3) | ~axiom(or(not(X3),X4)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 3.51/0.82 % 3.51/0.82 cnf(c8, axiom, % 3.51/0.82 ~theorem(X5) | ~axiom(or(not(X5),X6)) | theorem(X6)). % 3.51/0.82 cnf(a2, assumption, % 3.51/0.82 X3 = X6). % 3.51/0.82 cnf(c9, plain, % 3.51/0.82 ~axiom(or(not(X3),X4)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 3.51/0.82 cnf(c10, plain, % 3.51/0.82 ~theorem(X5) | ~axiom(or(not(X5),X6)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 3.51/0.82 % 3.51/0.82 cnf(c11, axiom, % 3.51/0.82 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)) | theorem(or(not(X9),X8))). % 3.51/0.82 cnf(a3, assumption, % 3.51/0.82 X5 = or(not(X9),X8)). % 3.51/0.82 cnf(c12, plain, % 3.51/0.82 ~axiom(or(not(X5),X6)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 3.51/0.82 cnf(c13, plain, % 3.51/0.82 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 3.51/0.82 % 3.51/0.82 cnf(c14, axiom, % 3.51/0.82 ~theorem(X10) | ~axiom(or(not(X10),X11)) | theorem(X11)). % 3.51/0.82 cnf(a4, assumption, % 3.51/0.82 or(not(X7),X8) = X11). % 3.51/0.82 cnf(c15, plain, % 3.51/0.82 ~axiom(or(not(X9),X7)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 3.51/0.82 cnf(c16, plain, % 3.51/0.82 ~theorem(X10) | ~axiom(or(not(X10),X11)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 3.51/0.82 % 3.51/0.82 cnf(c17, axiom, % 3.51/0.82 ~theorem(or(not(X12),X13)) | ~axiom(or(not(X14),X12)) | theorem(or(not(X14),X13))). % 3.51/0.82 cnf(a5, assumption, % 3.51/0.82 X10 = or(not(X14),X13)). % 3.51/0.82 cnf(c18, plain, % 3.51/0.82 ~axiom(or(not(X10),X11)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 3.51/0.82 cnf(c19, plain, % 3.51/0.82 ~theorem(or(not(X12),X13)) | ~axiom(or(not(X14),X12)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 3.51/0.82 % 3.51/0.82 cnf(c20, axiom, % 3.51/0.82 ~axiom(X15) | theorem(X15)). % 3.51/0.82 cnf(a6, assumption, % 3.51/0.82 or(not(X12),X13) = X15). % 3.51/0.82 cnf(c21, plain, % 3.51/0.82 ~axiom(or(not(X14),X12)), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 3.51/0.82 cnf(c22, plain, % 3.51/0.82 ~axiom(X15), % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 3.51/0.82 % 3.51/0.82 cnf(c23, axiom, % 3.51/0.82 axiom(or(not(or(X16,X17)),or(X17,X16)))). % 3.51/0.82 cnf(a7, assumption, % 3.51/0.82 X15 = or(not(or(X16,X17)),or(X17,X16))). % 3.51/0.82 cnf(c24, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 3.51/0.82 cnf(c25, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 3.51/0.82 % 3.51/0.82 cnf(c26, axiom, % 3.51/0.82 axiom(or(not(or(X18,X19)),or(X19,X18)))). % 3.51/0.82 cnf(a8, assumption, % 3.51/0.82 or(not(X14),X12) = or(not(or(X18,X19)),or(X19,X18))). % 3.51/0.82 cnf(c27, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 3.51/0.82 cnf(c28, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a8])], [c21, c26])). % 3.51/0.82 % 3.51/0.82 cnf(c29, axiom, % 3.51/0.82 axiom(or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22))))). % 3.51/0.82 cnf(a9, assumption, % 3.51/0.82 or(not(X10),X11) = or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22)))). % 3.51/0.82 cnf(c30, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 3.51/0.82 cnf(c31, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a9])], [c18, c29])). % 3.51/0.82 % 3.51/0.82 cnf(c32, axiom, % 3.51/0.82 axiom(or(not(X23),or(X24,X23)))). % 3.51/0.82 cnf(a10, assumption, % 3.51/0.82 or(not(X9),X7) = or(not(X23),or(X24,X23))). % 3.51/0.82 cnf(c33, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 3.51/0.82 cnf(c34, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a10])], [c15, c32])). % 3.51/0.82 % 3.51/0.82 cnf(c35, axiom, % 3.51/0.82 axiom(or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27))))). % 3.51/0.82 cnf(a11, assumption, % 3.51/0.82 or(not(X5),X6) = or(not(or(X25,or(X26,X27))),or(X26,or(X25,X27)))). % 3.51/0.82 cnf(c36, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 3.51/0.82 cnf(c37, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a11])], [c12, c35])). % 3.51/0.82 % 3.51/0.82 cnf(c38, axiom, % 3.51/0.82 axiom(or(not(or(not(X28),X29)),or(not(or(X30,X28)),or(X30,X29))))). % 3.51/0.82 cnf(a12, assumption, % 3.51/0.82 or(not(X3),X4) = or(not(or(not(X28),X29)),or(not(or(X30,X28)),or(X30,X29)))). % 3.51/0.82 cnf(c39, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 3.51/0.82 cnf(c40, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a12])], [c9, c38])). % 3.51/0.82 % 3.51/0.82 cnf(c41, axiom, % 3.51/0.82 axiom(or(not(or(X31,or(X32,X33))),or(X32,or(X31,X33))))). % 3.51/0.82 cnf(a13, assumption, % 3.51/0.82 or(not(X2),X0) = or(not(or(X31,or(X32,X33))),or(X32,or(X31,X33)))). % 3.51/0.82 cnf(c42, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 3.51/0.82 cnf(c43, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(strict_predicate_extension, [assumptions([a13])], [c6, c41])). % 3.51/0.82 % 3.51/0.82 cnf(c44, plain, % 3.51/0.82 $false, % 3.51/0.82 inference(constraint_solving, [ % 3.51/0.82 bind(X0, or(X30,X28)), % 3.51/0.82 bind(X1, or(not(p),or(not(q),r))), % 3.51/0.82 bind(X2, or(not(or(not(p),q)),or(not(p),r))), % 3.51/0.82 bind(X3, or(X26,or(X25,X27))), % 3.51/0.82 bind(X4, or(not(X0),X1)), % 3.51/0.82 bind(X5, or(not(X9),X8)), % 3.51/0.82 bind(X6, or(X26,or(X25,X27))), % 3.51/0.82 bind(X7, or(X24,X23)), % 3.51/0.82 bind(X8, or(X20,X22)), % 3.51/0.82 bind(X9, q), % 3.51/0.82 bind(X10, or(not(X14),X13)), % 3.51/0.82 bind(X11, or(not(X7),X8)), % 3.51/0.82 bind(X12, or(X16,X17)), % 3.51/0.82 bind(X13, or(X17,X16)), % 3.51/0.82 bind(X14, or(X18,X19)), % 3.51/0.82 bind(X15, or(not(X12),X13)), % 3.51/0.82 bind(X16, r), % 3.51/0.82 bind(X17, not(X7)), % 3.51/0.82 bind(X18, not(X7)), % 3.51/0.82 bind(X19, r), % 3.51/0.82 bind(X20, not(X14)), % 3.51/0.82 bind(X21, not(X7)), % 3.51/0.82 bind(X22, r), % 3.51/0.82 bind(X23, q), % 3.51/0.82 bind(X24, not(p)), % 3.51/0.82 bind(X25, not(X9)), % 3.51/0.82 bind(X26, not(X14)), % 3.51/0.82 bind(X27, r), % 3.51/0.82 bind(X28, or(X18,X19)), % 3.51/0.82 bind(X29, or(X25,X27)), % 3.51/0.82 bind(X30, not(p)), % 3.51/0.82 bind(X31, not(or(not(p),q))), % 3.51/0.82 bind(X32, not(p)), % 3.51/0.82 bind(X33, r) % 3.51/0.82 ], % 3.51/0.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 3.51/0.82 % 3.51/0.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------