%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n010.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 : Sun Sep 27 07:03:42 AM UTC 2026 % Result : Theorem 29.76s 4.34s % Output : CNFRefutation 29.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.53 % Computer : n010.cluster.edu % 0.08/0.53 % Model : x86_64 x86_64 % 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.53 % Memory : 8046.5625MB % 0.08/0.53 % OS : Linux 6.8.0-71-generic % 0.08/0.53 % CPULimit : 300 % 0.08/0.53 % WCLimit : 300 % 0.08/0.53 % DateTime : Sat Sep 26 23:56:31 UTC 2026 % 0.08/0.54 % CPUTime : % 0.08/0.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 29.76/4.34 % SZS status Theorem for theBenchmark.p % 29.76/4.34 % SZS output start CNFRefutation for theBenchmark.p % 29.76/4.34 fof(plus1_2, axiom, plus(n1,n2) = n3). % 29.76/4.34 fof(symmetry_of_plus, axiom, ! [X0] : ! [X1] : plus(X0,X1) = plus(X1,X0)). % 29.76/4.34 fof(happens_terminates_not_holds, axiom, ! [X0] : ! [X1] : ! [X2] : (((happens(X0,X1) & terminates(X0,X2,X1)) => ~holdsAt(X2,plus(X1,n1))))). % 29.76/4.34 fof(terminates_all_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((terminates(X0,X1,X2) <=> ((X0 = push & (X1 = backwards & ~happens(pull,X2))) | ((X0 = pull & (X1 = forwards & ~happens(push,X2))) | ((X0 = pull & (X1 = forwards & happens(push,X2))) | ((X0 = pull & (X1 = backwards & happens(push,X2))) | ((X0 = push & (X1 = spinning & ~happens(pull,X2))) | (X0 = pull & (X1 = spinning & ~happens(push,X2))))))))))). % 29.76/4.34 fof(happens_all_defn, axiom, ! [X0] : ! [X1] : ((happens(X0,X1) <=> ((X0 = push & X1 = n0) | ((X0 = pull & X1 = n1) | ((X0 = pull & X1 = n2) | (X0 = push & X1 = n2))))))). % 29.76/4.34 fof(not_backwards_3, conjecture, ~holdsAt(backwards,n3)). % 29.76/4.34 fof(negated_conjecture, negated_conjecture, ~~holdsAt(backwards,n3), inference(negate_conjecture, [status(cth)], [not_backwards_3])). % 29.76/4.34 cnf(c5, plain, plus(n1,n2) = n3, inference(clausification, [status(esa)], [plus1_2])). % 29.76/4.34 cnf(c10, plain, plus(X0,X1) = plus(X1,X0), inference(clausification, [status(esa)], [symmetry_of_plus])). % 29.76/4.34 cnf(c65, plain, ~happens(X0,X1) | ~terminates(X0,X2,X1) | ~holdsAt(X2,plus(X1,n1)), inference(clausification, [status(esa)], [happens_terminates_not_holds])). % 29.76/4.34 cnf(c86, plain, terminates(X0,X1,X2) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [terminates_all_defn])). % 29.76/4.34 cnf(c94, plain, X0(X1,X2,X3) | X1 != pull | X2 != backwards | ~happens(push,X3), inference(clausification, [status(esa)], [terminates_all_defn])). % 29.76/4.34 cnf(c113, plain, X0(X1,X2,X3) | ~X4(X1,X2,X3), inference(clausification, [status(esa)], [terminates_all_defn])). % 29.76/4.34 cnf(c118, plain, happens(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [happens_all_defn])). % 29.76/4.34 cnf(c123, plain, X0(X1,X2) | X1 != pull | X2 != n2, inference(clausification, [status(esa)], [happens_all_defn])). % 29.76/4.34 cnf(c124, plain, X0(X1,X2) | X1 != push | X2 != n2, inference(clausification, [status(esa)], [happens_all_defn])). % 29.76/4.34 cnf(c131, plain, X0(X1,X2) | ~X3(X1,X2), inference(clausification, [status(esa)], [happens_all_defn])). % 29.76/4.34 cnf(c136, plain, holdsAt(backwards,n3), inference(clausification, [status(esa)], [negated_conjecture])). % 29.76/4.34 cnf(d0, plain, ~holdsAt(X1,plus(n1,X0)) | ~happens(X2,X0) | ~terminates(X2,X1,X0), inference(superposition, [status(thm)], [c10,c65])). % 29.76/4.34 cnf(d1, plain, ~holdsAt(X0,n3) | ~happens(X1,n2) | ~terminates(X1,X0,n2), inference(superposition, [status(thm)], [c5,d0])). % 29.76/4.34 cnf(d2, plain, X0 != backwards | ~happens(push,X1) | 'Ts75'(pull,X0,X1), inference(equality_resolution, [status(thm)], [c94])). % 29.76/4.34 cnf(d3, plain, ~happens(push,X0) | 'Ts75'(pull,backwards,X0), inference(equality_resolution, [status(thm)], [d2])). % 29.76/4.34 cnf(d4, plain, ~happens(push,X0) | 'Ts79'(pull,backwards,X0), inference(resolution, [status(thm)], [d3,c113])). % 29.76/4.34 cnf(d5, plain, ~happens(push,X0) | terminates(pull,backwards,X0), inference(resolution, [status(thm)], [d4,c86])). % 29.76/4.34 cnf(d6, plain, ~happens(push,n2) | ~holdsAt(backwards,n3) | ~happens(pull,n2), inference(resolution, [status(thm)], [d5,d1])). % 29.76/4.34 cnf(d7, plain, ~happens(pull,n2) | ~happens(push,n2), inference(resolution, [status(thm)], [c136,d6])). % 29.76/4.34 cnf(d8, plain, X0 != pull | 'Ts86'(X0,n2), inference(equality_resolution, [status(thm)], [c123])). % 29.76/4.34 cnf(d9, plain, 'Ts86'(pull,n2), inference(equality_resolution, [status(thm)], [d8])). % 29.76/4.34 cnf(d10, plain, 'Ts87'(pull,n2), inference(resolution, [status(thm)], [d9,c131])). % 29.76/4.34 cnf(d11, plain, happens(pull,n2), inference(resolution, [status(thm)], [d10,c118])). % 29.76/4.34 cnf(d12, plain, ~happens(push,n2), inference(resolution, [status(thm)], [d11,d7])). % 29.76/4.34 cnf(d13, plain, X0 != n2 | 'Ts86'(push,X0), inference(equality_resolution, [status(thm)], [c124])). % 29.76/4.34 cnf(d14, plain, 'Ts86'(push,n2), inference(equality_resolution, [status(thm)], [d13])). % 29.76/4.34 cnf(d15, plain, 'Ts87'(push,n2), inference(resolution, [status(thm)], [d14,c131])). % 29.76/4.34 cnf(d16, plain, happens(push,n2), inference(resolution, [status(thm)], [d15,c118])). % 29.76/4.34 cnf(d17, plain, $false, inference(resolution, [status(thm)], [d16,d12])). % 29.76/4.34 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------