%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL231-3 : 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 : n005.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 2.70s 0.70s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL231-3 : 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 % 0.08/0.35 % Computer : n005.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sun Sep 6 00:10:50 UTC 2026 % 0.08/0.36 % CPUTime : % 2.70/0.70 % SZS status Unsatisfiable % 2.70/0.70 % SZS output begin IncompleteProof % 2.70/0.70 cnf(c0, axiom, % 2.70/0.70 ~theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r))))). % 2.70/0.70 cnf(c1, plain, % 2.70/0.70 ~theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))), % 2.70/0.70 inference(start, [], [c0])). % 2.70/0.70 % 2.70/0.70 cnf(c2, axiom, % 2.70/0.70 ~theorem(X0) | ~theorem(or(not(X0),X1)) | theorem(X1)). % 2.70/0.70 cnf(a0, assumption, % 2.70/0.70 or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r))) = X1). % 2.70/0.70 cnf(c3, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.70/0.70 cnf(c4, plain, % 2.70/0.70 ~theorem(X0) | ~theorem(or(not(X0),X1)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.70/0.70 % 2.70/0.70 cnf(c5, axiom, % 2.70/0.70 ~theorem(X2) | ~theorem(or(not(X2),X3)) | theorem(X3)). % 2.70/0.70 cnf(a1, assumption, % 2.70/0.70 X0 = X3). % 2.70/0.70 cnf(c6, plain, % 2.70/0.70 ~theorem(or(not(X0),X1)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.70/0.70 cnf(c7, plain, % 2.70/0.70 ~theorem(X2) | ~theorem(or(not(X2),X3)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.70/0.70 % 2.70/0.70 cnf(c8, axiom, % 2.70/0.70 ~axiom(X4) | theorem(X4)). % 2.70/0.70 cnf(a2, assumption, % 2.70/0.70 X2 = X4). % 2.70/0.70 cnf(c9, plain, % 2.70/0.70 ~theorem(or(not(X2),X3)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 2.70/0.70 cnf(c10, plain, % 2.70/0.70 ~axiom(X4), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 2.70/0.70 % 2.70/0.70 cnf(c11, axiom, % 2.70/0.70 axiom(or(not(X5),or(X6,X5)))). % 2.70/0.70 cnf(a3, assumption, % 2.70/0.70 X4 = or(not(X5),or(X6,X5))). % 2.70/0.70 cnf(c12, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 2.70/0.70 cnf(c13, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 2.70/0.70 % 2.70/0.70 cnf(c14, axiom, % 2.70/0.70 ~theorem(X7) | ~theorem(or(not(X7),X8)) | theorem(X8)). % 2.70/0.70 cnf(a4, assumption, % 2.70/0.70 or(not(X2),X3) = X8). % 2.70/0.70 cnf(c15, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 2.70/0.70 cnf(c16, plain, % 2.70/0.70 ~theorem(X7) | ~theorem(or(not(X7),X8)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a4])], [c9, c14])). % 2.70/0.70 % 2.70/0.70 cnf(c17, axiom, % 2.70/0.70 ~axiom(X9) | theorem(X9)). % 2.70/0.70 cnf(a5, assumption, % 2.70/0.70 X7 = X9). % 2.70/0.70 cnf(c18, plain, % 2.70/0.70 ~theorem(or(not(X7),X8)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 2.70/0.70 cnf(c19, plain, % 2.70/0.70 ~axiom(X9), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 2.70/0.70 % 2.70/0.70 cnf(c20, axiom, % 2.70/0.70 axiom(or(not(or(not(X10),X11)),or(not(or(X12,X10)),or(X12,X11))))). % 2.70/0.70 cnf(a6, assumption, % 2.70/0.70 X9 = or(not(or(not(X10),X11)),or(not(or(X12,X10)),or(X12,X11)))). % 2.70/0.70 cnf(c21, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 2.70/0.70 cnf(c22, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 2.70/0.70 % 2.70/0.70 cnf(c23, axiom, % 2.70/0.70 ~axiom(X13) | theorem(X13)). % 2.70/0.70 cnf(a7, assumption, % 2.70/0.70 or(not(X7),X8) = X13). % 2.70/0.70 cnf(c24, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 2.70/0.70 cnf(c25, plain, % 2.70/0.70 ~axiom(X13), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a7])], [c18, c23])). % 2.70/0.70 % 2.70/0.70 cnf(c26, axiom, % 2.70/0.70 axiom(or(not(or(X14,or(X15,X16))),or(X15,or(X14,X16))))). % 2.70/0.70 cnf(a8, assumption, % 2.70/0.70 X13 = or(not(or(X14,or(X15,X16))),or(X15,or(X14,X16)))). % 2.70/0.70 cnf(c27, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 2.70/0.70 cnf(c28, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 2.70/0.70 % 2.70/0.70 cnf(c29, axiom, % 2.70/0.70 ~theorem(X17) | ~theorem(or(not(X17),X18)) | theorem(X18)). % 2.70/0.70 cnf(a9, assumption, % 2.70/0.70 or(not(X0),X1) = X18). % 2.70/0.70 cnf(c30, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a9])], [c6, c29])). % 2.70/0.70 cnf(c31, plain, % 2.70/0.70 ~theorem(X17) | ~theorem(or(not(X17),X18)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a9])], [c6, c29])). % 2.70/0.70 % 2.70/0.70 cnf(c32, axiom, % 2.70/0.70 ~axiom(X19) | theorem(X19)). % 2.70/0.70 cnf(a10, assumption, % 2.70/0.70 X17 = X19). % 2.70/0.70 cnf(c33, plain, % 2.70/0.70 ~theorem(or(not(X17),X18)), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 2.70/0.70 cnf(c34, plain, % 2.70/0.70 ~axiom(X19), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 2.70/0.70 % 2.70/0.70 cnf(c35, axiom, % 2.70/0.70 axiom(or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22))))). % 2.70/0.70 cnf(a11, assumption, % 2.70/0.70 X19 = or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22)))). % 2.70/0.70 cnf(c36, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 2.70/0.70 cnf(c37, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a11])], [c34, c35])). % 2.70/0.70 % 2.70/0.70 cnf(c38, axiom, % 2.70/0.70 ~axiom(X23) | theorem(X23)). % 2.70/0.70 cnf(a12, assumption, % 2.70/0.70 or(not(X17),X18) = X23). % 2.70/0.70 cnf(c39, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a12])], [c33, c38])). % 2.70/0.70 cnf(c40, plain, % 2.70/0.70 ~axiom(X23), % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a12])], [c33, c38])). % 2.70/0.70 % 2.70/0.70 cnf(c41, axiom, % 2.70/0.70 axiom(or(not(or(not(X24),X25)),or(not(or(X26,X24)),or(X26,X25))))). % 2.70/0.70 cnf(a13, assumption, % 2.70/0.70 X23 = or(not(or(not(X24),X25)),or(not(or(X26,X24)),or(X26,X25)))). % 2.70/0.70 cnf(c42, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 2.70/0.70 cnf(c43, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 2.70/0.70 % 2.70/0.70 cnf(c44, plain, % 2.70/0.70 $false, % 2.70/0.70 inference(constraint_solving, [ % 2.70/0.70 bind(X0, or(X14,X16)), % 2.70/0.70 bind(X1, or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))), % 2.70/0.70 bind(X2, or(not(X5),or(X6,X5))), % 2.70/0.70 bind(X3, or(X14,X16)), % 2.70/0.70 bind(X4, or(not(X5),or(X6,X5))), % 2.70/0.70 bind(X5, q), % 2.70/0.70 bind(X6, not(p)), % 2.70/0.70 bind(X7, or(not(or(not(X10),X11)),or(not(or(X12,X10)),or(X12,X11)))), % 2.70/0.70 bind(X8, or(not(X2),X3)), % 2.70/0.70 bind(X9, or(not(or(not(X10),X11)),or(not(or(X12,X10)),or(X12,X11)))), % 2.70/0.70 bind(X10, or(X6,X5)), % 2.70/0.70 bind(X11, or(X21,X22)), % 2.70/0.70 bind(X12, not(X5)), % 2.70/0.70 bind(X13, or(not(X7),X8)), % 2.70/0.70 bind(X14, not(or(not(X10),X11))), % 2.70/0.70 bind(X15, not(or(X12,X10))), % 2.70/0.70 bind(X16, or(X12,X11)), % 2.70/0.70 bind(X17, or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22)))), % 2.70/0.70 bind(X18, or(not(X0),X1)), % 2.70/0.70 bind(X19, or(not(or(X20,or(X21,X22))),or(X21,or(X20,X22)))), % 2.70/0.70 bind(X20, not(X5)), % 2.70/0.70 bind(X21, not(p)), % 2.70/0.70 bind(X22, r), % 2.70/0.70 bind(X23, or(not(X17),X18)), % 2.70/0.70 bind(X24, or(X20,or(X21,X22))), % 2.70/0.70 bind(X25, or(X21,or(X20,X22))), % 2.70/0.70 bind(X26, not(or(not(X10),X11))) % 2.70/0.70 ], % 2.70/0.70 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 2.70/0.70 % 2.70/0.70 % SZS output end IncompleteProof %------------------------------------------------------------------------------