%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL192-1 : 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 : n029.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 0.14s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL192-1 : TPTP v9.3.1. Released v1.1.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.35 % Computer : n029.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 03:36:40 UTC 2026 % 0.10/0.35 % CPUTime : % 0.14/0.36 % SZS status Unsatisfiable % 0.14/0.36 % SZS output begin IncompleteProof % 0.14/0.36 cnf(c0, axiom, % 0.14/0.36 ~theorem(or(not(or(or(p,q),r)),or(p,or(q,r))))). % 0.14/0.36 cnf(c1, plain, % 0.14/0.36 ~theorem(or(not(or(or(p,q),r)),or(p,or(q,r)))), % 0.14/0.36 inference(start, [], [c0])). % 0.14/0.36 % 0.14/0.36 cnf(c2, axiom, % 0.14/0.36 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 0.14/0.36 cnf(a0, assumption, % 0.14/0.36 or(not(or(or(p,q),r)),or(p,or(q,r))) = or(not(X2),X1)). % 0.14/0.36 cnf(c3, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.36 cnf(c4, plain, % 0.14/0.36 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.36 % 0.14/0.36 cnf(c5, axiom, % 0.14/0.36 ~theorem(or(not(X3),X4)) | ~axiom(or(not(X5),X3)) | theorem(or(not(X5),X4))). % 0.14/0.36 cnf(a1, assumption, % 0.14/0.36 or(not(X0),X1) = or(not(X5),X4)). % 0.14/0.36 cnf(c6, plain, % 0.14/0.36 ~axiom(or(not(X2),X0)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.14/0.36 cnf(c7, plain, % 0.14/0.36 ~theorem(or(not(X3),X4)) | ~axiom(or(not(X5),X3)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.14/0.36 % 0.14/0.36 cnf(c8, axiom, % 0.14/0.36 ~theorem(X6) | ~axiom(or(not(X6),X7)) | theorem(X7)). % 0.14/0.36 cnf(a2, assumption, % 0.14/0.36 or(not(X3),X4) = X7). % 0.14/0.36 cnf(c9, plain, % 0.14/0.36 ~axiom(or(not(X5),X3)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.14/0.36 cnf(c10, plain, % 0.14/0.36 ~theorem(X6) | ~axiom(or(not(X6),X7)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.14/0.36 % 0.14/0.36 cnf(c11, axiom, % 0.14/0.36 ~axiom(X8) | theorem(X8)). % 0.14/0.36 cnf(a3, assumption, % 0.14/0.36 X6 = X8). % 0.14/0.36 cnf(c12, plain, % 0.14/0.36 ~axiom(or(not(X6),X7)), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.14/0.36 cnf(c13, plain, % 0.14/0.36 ~axiom(X8), % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.14/0.36 % 0.14/0.36 cnf(c14, axiom, % 0.14/0.36 axiom(or(not(or(X9,X10)),or(X10,X9)))). % 0.14/0.36 cnf(a4, assumption, % 0.14/0.36 X8 = or(not(or(X9,X10)),or(X10,X9))). % 0.14/0.36 cnf(c15, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.14/0.36 cnf(c16, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.14/0.36 % 0.14/0.36 cnf(c17, axiom, % 0.14/0.36 axiom(or(not(or(not(X11),X12)),or(not(or(X13,X11)),or(X13,X12))))). % 0.14/0.36 cnf(a5, assumption, % 0.14/0.36 or(not(X6),X7) = or(not(or(not(X11),X12)),or(not(or(X13,X11)),or(X13,X12)))). % 0.14/0.36 cnf(c18, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a5])], [c12, c17])). % 0.14/0.36 cnf(c19, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a5])], [c12, c17])). % 0.14/0.36 % 0.14/0.36 cnf(c20, axiom, % 0.14/0.36 axiom(or(not(or(X14,or(X15,X16))),or(X15,or(X14,X16))))). % 0.14/0.36 cnf(a6, assumption, % 0.14/0.36 or(not(X5),X3) = or(not(or(X14,or(X15,X16))),or(X15,or(X14,X16)))). % 0.14/0.36 cnf(c21, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a6])], [c9, c20])). % 0.14/0.36 cnf(c22, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a6])], [c9, c20])). % 0.14/0.36 % 0.14/0.36 cnf(c23, axiom, % 0.14/0.36 axiom(or(not(or(X17,X18)),or(X18,X17)))). % 0.14/0.36 cnf(a7, assumption, % 0.14/0.36 or(not(X2),X0) = or(not(or(X17,X18)),or(X18,X17))). % 0.14/0.36 cnf(c24, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c6, c23])). % 0.14/0.36 cnf(c25, plain, % 0.14/0.36 $false, % 0.14/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c6, c23])). % 0.14/0.36 % 0.14/0.37 cnf(c26, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(constraint_solving, [ % 0.14/0.37 bind(X0, or(X14,or(X15,X16))), % 0.14/0.37 bind(X1, or(p,or(q,r))), % 0.14/0.37 bind(X2, or(or(p,q),r)), % 0.14/0.37 bind(X3, or(X13,X11)), % 0.14/0.37 bind(X4, or(p,or(q,r))), % 0.14/0.37 bind(X5, or(X14,or(X15,X16))), % 0.14/0.37 bind(X6, or(not(or(X9,X10)),or(X10,X9))), % 0.14/0.37 bind(X7, or(not(X3),X4)), % 0.14/0.37 bind(X8, or(not(or(X9,X10)),or(X10,X9))), % 0.14/0.37 bind(X9, r), % 0.14/0.37 bind(X10, q), % 0.14/0.37 bind(X11, or(X9,X10)), % 0.14/0.37 bind(X12, or(X10,X9)), % 0.14/0.37 bind(X13, p), % 0.14/0.37 bind(X14, r), % 0.14/0.37 bind(X15, p), % 0.14/0.37 bind(X16, q), % 0.14/0.37 bind(X17, or(p,q)), % 0.14/0.37 bind(X18, r) % 0.14/0.37 ], % 0.14/0.37 [a0, a1, a2, a3, a4, a5, a6, a7])). % 0.14/0.37 % 0.14/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------