%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL196-1 : 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 : n009.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 12:28:18 PM UTC 2026 % Result : Unsatisfiable 129.03s 16.88s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL196-1 : 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 % 0.10/0.37 % Computer : n009.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 04:09:51 UTC 2026 % 0.10/0.37 % CPUTime : % 129.03/16.88 % SZS status Unsatisfiable % 129.03/16.88 % SZS output begin IncompleteProof % 129.03/16.88 cnf(c0, axiom, % 129.03/16.88 ~theorem(or(not(or(p,or(p,q))),or(p,q)))). % 129.03/16.88 cnf(c1, plain, % 129.03/16.88 ~theorem(or(not(or(p,or(p,q))),or(p,q))), % 129.03/16.88 inference(start, [], [c0])). % 129.03/16.88 % 129.03/16.88 cnf(c2, axiom, % 129.03/16.88 ~theorem(X0) | ~axiom(or(not(X0),X1)) | theorem(X1)). % 129.03/16.88 cnf(a0, assumption, % 129.03/16.88 or(not(or(p,or(p,q))),or(p,q)) = X1). % 129.03/16.88 cnf(c3, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 129.03/16.88 cnf(c4, plain, % 129.03/16.88 ~theorem(X0) | ~axiom(or(not(X0),X1)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 129.03/16.88 % 129.03/16.88 cnf(c5, axiom, % 129.03/16.88 ~theorem(X2) | ~axiom(or(not(X2),X3)) | theorem(X3)). % 129.03/16.88 cnf(a1, assumption, % 129.03/16.88 X0 = X3). % 129.03/16.88 cnf(c6, plain, % 129.03/16.88 ~axiom(or(not(X0),X1)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 129.03/16.88 cnf(c7, plain, % 129.03/16.88 ~theorem(X2) | ~axiom(or(not(X2),X3)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 129.03/16.88 % 129.03/16.88 cnf(c8, axiom, % 129.03/16.88 ~theorem(or(not(X4),X5)) | ~axiom(or(not(X6),X4)) | theorem(or(not(X6),X5))). % 129.03/16.88 cnf(a2, assumption, % 129.03/16.88 X2 = or(not(X6),X5)). % 129.03/16.88 cnf(c9, plain, % 129.03/16.88 ~axiom(or(not(X2),X3)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 129.03/16.88 cnf(c10, plain, % 129.03/16.88 ~theorem(or(not(X4),X5)) | ~axiom(or(not(X6),X4)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 129.03/16.88 % 129.03/16.88 cnf(c11, axiom, % 129.03/16.88 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)) | theorem(or(not(X9),X8))). % 129.03/16.88 cnf(a3, assumption, % 129.03/16.88 or(not(X4),X5) = or(not(X9),X8)). % 129.03/16.88 cnf(c12, plain, % 129.03/16.88 ~axiom(or(not(X6),X4)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 129.03/16.88 cnf(c13, plain, % 129.03/16.88 ~theorem(or(not(X7),X8)) | ~axiom(or(not(X9),X7)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 129.03/16.88 % 129.03/16.88 cnf(c14, axiom, % 129.03/16.88 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)) | theorem(or(not(X12),X11))). % 129.03/16.88 cnf(a4, assumption, % 129.03/16.88 or(not(X7),X8) = or(not(X12),X11)). % 129.03/16.88 cnf(c15, plain, % 129.03/16.88 ~axiom(or(not(X9),X7)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 129.03/16.88 cnf(c16, plain, % 129.03/16.88 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 129.03/16.88 % 129.03/16.88 cnf(c17, axiom, % 129.03/16.88 ~theorem(X13) | ~axiom(or(not(X13),X14)) | theorem(X14)). % 129.03/16.88 cnf(a5, assumption, % 129.03/16.88 or(not(X10),X11) = X14). % 129.03/16.88 cnf(c18, plain, % 129.03/16.88 ~axiom(or(not(X12),X10)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 129.03/16.88 cnf(c19, plain, % 129.03/16.88 ~theorem(X13) | ~axiom(or(not(X13),X14)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 129.03/16.88 % 129.03/16.88 cnf(c20, axiom, % 129.03/16.88 ~theorem(or(not(X15),X16)) | ~axiom(or(not(X17),X15)) | theorem(or(not(X17),X16))). % 129.03/16.88 cnf(a6, assumption, % 129.03/16.88 X13 = or(not(X17),X16)). % 129.03/16.88 cnf(c21, plain, % 129.03/16.88 ~axiom(or(not(X13),X14)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 129.03/16.88 cnf(c22, plain, % 129.03/16.88 ~theorem(or(not(X15),X16)) | ~axiom(or(not(X17),X15)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 129.03/16.88 % 129.03/16.88 cnf(c23, axiom, % 129.03/16.88 ~axiom(X18) | theorem(X18)). % 129.03/16.88 cnf(a7, assumption, % 129.03/16.88 or(not(X15),X16) = X18). % 129.03/16.88 cnf(c24, plain, % 129.03/16.88 ~axiom(or(not(X17),X15)), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 129.03/16.88 cnf(c25, plain, % 129.03/16.88 ~axiom(X18), % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 129.03/16.88 % 129.03/16.88 cnf(c26, axiom, % 129.03/16.88 axiom(or(not(or(X19,X20)),or(X20,X19)))). % 129.03/16.88 cnf(a8, assumption, % 129.03/16.88 X18 = or(not(or(X19,X20)),or(X20,X19))). % 129.03/16.88 cnf(c27, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 129.03/16.88 cnf(c28, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 129.03/16.88 % 129.03/16.88 cnf(c29, axiom, % 129.03/16.88 axiom(or(not(X21),or(X22,X21)))). % 129.03/16.88 cnf(a9, assumption, % 129.03/16.88 or(not(X17),X15) = or(not(X21),or(X22,X21))). % 129.03/16.88 cnf(c30, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a9])], [c24, c29])). % 129.03/16.88 cnf(c31, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a9])], [c24, c29])). % 129.03/16.88 % 129.03/16.88 cnf(c32, axiom, % 129.03/16.88 axiom(or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24))))). % 129.03/16.88 cnf(a10, assumption, % 129.03/16.88 or(not(X13),X14) = or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24)))). % 129.03/16.88 cnf(c33, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a10])], [c21, c32])). % 129.03/16.88 cnf(c34, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a10])], [c21, c32])). % 129.03/16.88 % 129.03/16.88 cnf(c35, axiom, % 129.03/16.88 axiom(or(not(or(X26,X27)),or(X27,X26)))). % 129.03/16.88 cnf(a11, assumption, % 129.03/16.88 or(not(X12),X10) = or(not(or(X26,X27)),or(X27,X26))). % 129.03/16.88 cnf(c36, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a11])], [c18, c35])). % 129.03/16.88 cnf(c37, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a11])], [c18, c35])). % 129.03/16.88 % 129.03/16.88 cnf(c38, axiom, % 129.03/16.88 axiom(or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30))))). % 129.03/16.88 cnf(a12, assumption, % 129.03/16.88 or(not(X9),X7) = or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30)))). % 129.03/16.88 cnf(c39, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a12])], [c15, c38])). % 129.03/16.88 cnf(c40, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a12])], [c15, c38])). % 129.03/16.88 % 129.03/16.88 cnf(c41, axiom, % 129.03/16.88 axiom(or(not(X31),or(X32,X31)))). % 129.03/16.88 cnf(a13, assumption, % 129.03/16.88 or(not(X6),X4) = or(not(X31),or(X32,X31))). % 129.03/16.88 cnf(c42, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a13])], [c12, c41])). % 129.03/16.88 cnf(c43, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a13])], [c12, c41])). % 129.03/16.88 % 129.03/16.88 cnf(c44, axiom, % 129.03/16.88 axiom(or(not(or(X33,or(X34,X35))),or(X34,or(X33,X35))))). % 129.03/16.88 cnf(a14, assumption, % 129.03/16.88 or(not(X2),X3) = or(not(or(X33,or(X34,X35))),or(X34,or(X33,X35)))). % 129.03/16.88 cnf(c45, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a14])], [c9, c44])). % 129.03/16.88 cnf(c46, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a14])], [c9, c44])). % 129.03/16.88 % 129.03/16.88 cnf(c47, axiom, % 129.03/16.88 axiom(or(not(or(X36,X36)),X36))). % 129.03/16.88 cnf(a15, assumption, % 129.03/16.88 or(not(X0),X1) = or(not(or(X36,X36)),X36)). % 129.03/16.88 cnf(c48, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 129.03/16.88 cnf(c49, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 129.03/16.88 % 129.03/16.88 cnf(c50, plain, % 129.03/16.88 $false, % 129.03/16.88 inference(constraint_solving, [ % 129.03/16.88 bind(X0, or(X34,or(X33,X35))), % 129.03/16.88 bind(X1, or(not(or(p,or(p,q))),or(p,q))), % 129.03/16.88 bind(X2, or(not(X6),X5)), % 129.03/16.88 bind(X3, or(X34,or(X33,X35))), % 129.03/16.88 bind(X4, or(X28,or(X29,X30))), % 129.03/16.88 bind(X5, or(X25,X24)), % 129.03/16.88 bind(X6, or(X29,X30)), % 129.03/16.88 bind(X7, or(X26,X27)), % 129.03/16.88 bind(X8, or(X25,X24)), % 129.03/16.88 bind(X9, or(X28,or(X29,X30))), % 129.03/16.88 bind(X10, or(X25,X23)), % 129.03/16.88 bind(X11, or(X25,X24)), % 129.03/16.88 bind(X12, or(X26,X27)), % 129.03/16.88 bind(X13, or(not(X17),X16)), % 129.03/16.88 bind(X14, or(not(X10),X11)), % 129.03/16.88 bind(X15, or(X19,X20)), % 129.03/16.88 bind(X16, or(X20,X19)), % 129.03/16.88 bind(X17, p), % 129.03/16.88 bind(X18, or(not(X15),X16)), % 129.03/16.88 bind(X19, q), % 129.03/16.88 bind(X20, p), % 129.03/16.88 bind(X21, p), % 129.03/16.88 bind(X22, q), % 129.03/16.88 bind(X23, p), % 129.03/16.88 bind(X24, or(X20,X19)), % 129.03/16.88 bind(X25, or(X28,X30)), % 129.03/16.88 bind(X26, p), % 129.03/16.88 bind(X27, or(X28,X30)), % 129.03/16.88 bind(X28, not(X6)), % 129.03/16.88 bind(X29, p), % 129.03/16.88 bind(X30, or(X20,X19)), % 129.03/16.88 bind(X31, or(X29,X30)), % 129.03/16.88 bind(X32, not(X6)), % 129.03/16.88 bind(X33, not(X6)), % 129.03/16.88 bind(X34, or(X28,X30)), % 129.03/16.88 bind(X35, or(X20,X19)), % 129.03/16.88 bind(X36, or(X28,X30)) % 129.03/16.88 ], % 129.03/16.88 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 129.03/16.88 % 129.03/16.88 % SZS output end IncompleteProof %------------------------------------------------------------------------------