%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET598+3 : TPTP v9.3.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n007.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 08:32:51 AM UTC 2026 % Result : Theorem 24.17s 6.19s % Output : CNFRefutation 24.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET598+3 : TPTP v9.3.1. Released v2.2.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.43 % Computer : n007.cluster.edu % 0.17/0.43 % Model : x86_64 x86_64 % 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.43 % Memory : 8046.5625MB % 0.17/0.43 % OS : Linux 6.8.0-71-generic % 0.17/0.43 % CPULimit : 300 % 0.17/0.43 % WCLimit : 300 % 0.17/0.43 % DateTime : Sat Sep 26 07:56:39 UTC 2026 % 0.17/0.43 % CPUTime : % 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.17/6.19 % SZS status Theorem for theBenchmark.p % 24.17/6.19 % SZS output start CNFRefutation for theBenchmark.p % 24.17/6.19 fof(intersection_is_subset, axiom, ! [X0] : ! [X1] : subset(intersection(X0,X1),X0)). % 24.17/6.19 fof(intersection_of_subsets, axiom, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X0,X2)) => subset(X0,intersection(X1,X2))))). % 24.17/6.19 fof(intersection_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((member(X2,intersection(X0,X1)) <=> (member(X2,X0) & member(X2,X1))))). % 24.17/6.19 fof(subset_defn, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((member(X2,X0) => member(X2,X1)))))). % 24.17/6.19 fof(equal_defn, axiom, ! [X0] : ! [X1] : ((X0 = X1 <=> (subset(X0,X1) & subset(X1,X0))))). % 24.17/6.19 fof(commutativity_of_intersection, axiom, ! [X0] : ! [X1] : intersection(X0,X1) = intersection(X1,X0)). % 24.17/6.19 fof(reflexivity_of_subset, axiom, ! [X0] : subset(X0,X0)). % 24.17/6.19 fof(prove_th57, conjecture, ! [X0] : ! [X1] : ! [X2] : ((X0 = intersection(X1,X2) <=> (subset(X0,X1) & (subset(X0,X2) & ! [X3] : (((subset(X3,X1) & subset(X3,X2)) => subset(X3,X0)))))))). % 24.17/6.19 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((X0 = intersection(X1,X2) <=> (subset(X0,X1) & (subset(X0,X2) & ! [X3] : (((subset(X3,X1) & subset(X3,X2)) => subset(X3,X0))))))), inference(negate_conjecture, [status(cth)], [prove_th57])). % 24.17/6.19 cnf(c0, plain, subset(intersection(X0,X1),X0), inference(clausification, [status(esa)], [intersection_is_subset])). % 24.17/6.19 cnf(c1, plain, ~subset(X0,X1) | ~subset(X0,X2) | subset(X0,intersection(X1,X2)), inference(clausification, [status(esa)], [intersection_of_subsets])). % 24.17/6.19 cnf(c3, plain, ~member(X0,intersection(X1,X2)) | member(X0,X2), inference(clausification, [status(esa)], [intersection_defn])). % 24.17/6.19 cnf(c6, plain, subset(X0,X1) | member(sK11(X0,X1),X0), inference(clausification, [status(esa)], [subset_defn])). % 24.17/6.19 cnf(c7, plain, subset(X0,X1) | ~member(sK11(X0,X1),X1), inference(clausification, [status(esa)], [subset_defn])). % 24.17/6.19 cnf(c10, plain, X0 = X1 | ~subset(X0,X1) | ~subset(X1,X0), inference(clausification, [status(esa)], [equal_defn])). % 24.17/6.19 cnf(c11, plain, intersection(X0,X1) = intersection(X1,X0), inference(clausification, [status(esa)], [commutativity_of_intersection])). % 24.17/6.19 cnf(c12, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_of_subset])). % 24.17/6.19 cnf(c20, plain, sK22 = intersection(sK23,sK24) | X0(sK22,sK23,sK24), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c21, plain, ~X0(sK22,sK23,sK24) | sK22 != intersection(sK23,sK24), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c23, plain, ~X0(X1,X2,X3) | subset(X1,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c24, plain, ~X0(X1,X2,X3) | subset(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c25, plain, ~X0(X1,X2,X3) | ~subset(X4,X2) | ~subset(X4,X3) | subset(X4,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c26, plain, X0(X1,X2,X3) | ~subset(X1,X2) | ~subset(X1,X3) | subset(sK26(X1,X2,X3),X2), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c27, plain, X0(X1,X2,X3) | ~subset(X1,X2) | ~subset(X1,X3) | subset(sK26(X1,X2,X3),X3), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(c28, plain, X0(X1,X2,X3) | ~subset(X1,X2) | ~subset(X1,X3) | ~subset(sK26(X1,X2,X3),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 24.17/6.19 cnf(d0, plain, ~subset(sK26(intersection(X0,X1),X2,X3),X0) | ~subset(sK26(intersection(X0,X1),X2,X3),X1) | ~subset(intersection(X0,X1),X2) | ~subset(intersection(X0,X1),X3) | 'Ts21'(intersection(X0,X1),X2,X3), inference(resolution, [status(thm)], [c1,c28])). % 24.17/6.19 cnf(d1, plain, ~subset(intersection(X0,X1),X2) | ~subset(intersection(X0,X1),X0) | ~subset(sK26(intersection(X0,X1),X0,X2),X1) | 'Ts21'(intersection(X0,X1),X0,X2) | ~subset(intersection(X0,X1),X0) | ~subset(intersection(X0,X1),X2) | 'Ts21'(intersection(X0,X1),X0,X2), inference(resolution, [status(thm)], [d0,c26])). % 24.17/6.19 cnf(d2, plain, ~subset(intersection(X0,X1),X2) | ~subset(sK26(intersection(X0,X1),X0,X2),X1) | 'Ts21'(intersection(X0,X1),X0,X2), inference(resolution, [status(thm)], [c0,d1])). % 24.17/6.19 cnf(d3, plain, ~subset(intersection(X0,X1),X1) | 'Ts21'(intersection(X0,X1),X0,X1) | ~subset(intersection(X0,X1),X0) | ~subset(intersection(X0,X1),X1) | 'Ts21'(intersection(X0,X1),X0,X1), inference(resolution, [status(thm)], [d2,c27])). % 24.17/6.19 cnf(d4, plain, ~subset(intersection(X0,X1),X1) | 'Ts21'(intersection(X0,X1),X0,X1), inference(resolution, [status(thm)], [c0,d3])). % 24.17/6.19 cnf(d5, plain, 'Ts21'(sK22,sK23,sK24) | ~subset(intersection(sK23,sK24),sK24) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,d4])). % 24.17/6.19 cnf(d6, plain, ~subset(sK22,sK24) | 'Ts21'(sK22,sK23,sK24) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,d5])). % 24.17/6.19 cnf(d7, plain, ~subset(sK22,sK24) | ~subset(X0,sK24) | subset(X0,sK22) | ~subset(X0,sK23), inference(resolution, [status(thm)], [d6,c25])). % 24.17/6.19 cnf(d8, plain, ~member(X0,sK22) | member(X0,sK24) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,c3])). % 24.17/6.19 cnf(d9, plain, ~member(X0,sK22) | member(X0,sK24) | subset(sK22,sK24), inference(resolution, [status(thm)], [d8,c24])). % 24.17/6.19 cnf(d10, plain, subset(sK22,X0) | subset(sK22,sK24) | member(sK11(sK22,X0),sK24), inference(resolution, [status(thm)], [c6,d9])). % 24.17/6.19 cnf(d11, plain, subset(sK22,sK24) | subset(sK22,sK24) | subset(sK22,sK24), inference(resolution, [status(thm)], [c7,d10])). % 24.17/6.19 cnf(d12, plain, subset(X0,sK22) | ~subset(X0,sK23) | ~subset(X0,sK24), inference(resolution, [status(thm)], [d11,d7])). % 24.17/6.19 cnf(d13, plain, subset(intersection(sK24,X0),sK22) | ~subset(intersection(sK24,X0),sK23), inference(resolution, [status(thm)], [d12,c0])). % 24.17/6.19 cnf(d14, plain, ~subset(intersection(X0,sK24),sK23) | subset(intersection(sK24,X0),sK22), inference(superposition, [status(thm)], [c11,d13])). % 24.17/6.19 cnf(d15, plain, subset(intersection(sK24,sK23),sK22), inference(resolution, [status(thm)], [d14,c0])). % 24.17/6.19 cnf(d16, plain, subset(intersection(sK23,sK24),sK22), inference(demodulation, [status(thm)], [d15,c11])). % 24.17/6.19 cnf(d17, plain, intersection(sK23,sK24) = sK22 | ~subset(sK22,intersection(sK23,sK24)), inference(resolution, [status(thm)], [d16,c10])). % 24.17/6.19 cnf(d18, plain, intersection(sK23,sK24) = sK22 | ~subset(sK22,sK23) | ~subset(sK22,sK24), inference(resolution, [status(thm)], [d17,c1])). % 24.17/6.19 cnf(d19, plain, subset(sK22,sK23) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,c0])). % 24.17/6.19 cnf(d20, plain, subset(sK22,sK23) | subset(sK22,sK23), inference(resolution, [status(thm)], [d19,c23])). % 24.17/6.19 cnf(d21, plain, intersection(sK23,sK24) = sK22 | ~subset(sK22,sK24), inference(resolution, [status(thm)], [d20,d18])). % 24.17/6.19 cnf(d22, plain, intersection(sK23,sK24) = sK22, inference(resolution, [status(thm)], [d11,d21])). % 24.17/6.19 cnf(d23, plain, 'Ts21'(sK22,sK23,sK24), inference(resolution, [status(thm)], [d11,d6])). % 24.17/6.19 cnf(d24, plain, sK22 != intersection(sK23,sK24), inference(resolution, [status(thm)], [d23,c21])). % 24.17/6.19 cnf(d25, plain, sK22 != sK22, inference(demodulation, [status(thm)], [d24,d22])). % 24.17/6.19 cnf(d26, plain, ~subset(intersection(X0,X0),X1) | 'Ts21'(intersection(X0,X0),X0,X1) | ~subset(intersection(X0,X0),X0) | ~subset(intersection(X0,X0),X1) | 'Ts21'(intersection(X0,X0),X0,X1), inference(resolution, [status(thm)], [d2,c26])). % 24.17/6.19 cnf(d27, plain, ~subset(intersection(X0,X0),X1) | 'Ts21'(intersection(X0,X0),X0,X1), inference(resolution, [status(thm)], [c0,d26])). % 24.17/6.19 cnf(d28, plain, ~subset(intersection(X0,X0),X1) | ~subset(X2,X1) | subset(X2,intersection(X0,X0)) | ~subset(X2,X0), inference(resolution, [status(thm)], [d27,c25])). % 24.17/6.19 cnf(d29, plain, ~subset(X0,X1) | ~subset(X0,X1) | subset(X0,intersection(X1,X1)), inference(resolution, [status(thm)], [d28,c0])). % 24.17/6.19 cnf(d30, plain, X0 = intersection(X1,X1) | ~subset(intersection(X1,X1),X0) | ~subset(X0,X1), inference(resolution, [status(thm)], [c10,d29])). % 24.17/6.19 cnf(d31, plain, X0 = intersection(X0,X0) | ~subset(X0,X0), inference(resolution, [status(thm)], [d30,c0])). % 24.17/6.19 cnf(d32, plain, X0 = intersection(X0,X0), inference(resolution, [status(thm)], [c12,d31])). % 24.17/6.19 cnf(d33, plain, ~subset(intersection(X0,X1),X0) | ~subset(intersection(X0,X1),X2) | ~subset(sK26(intersection(X0,X1),X2,X0),X1) | 'Ts21'(intersection(X0,X1),X2,X0) | ~subset(intersection(X0,X1),X2) | ~subset(intersection(X0,X1),X0) | 'Ts21'(intersection(X0,X1),X2,X0), inference(resolution, [status(thm)], [d0,c27])). % 24.17/6.19 cnf(d34, plain, ~subset(intersection(X0,X1),X2) | ~subset(sK26(intersection(X0,X1),X2,X0),X1) | 'Ts21'(intersection(X0,X1),X2,X0), inference(resolution, [status(thm)], [c0,d33])). % 24.17/6.19 cnf(d35, plain, ~subset(intersection(X0,X1),X1) | 'Ts21'(intersection(X0,X1),X1,X0) | ~subset(intersection(X0,X1),X1) | ~subset(intersection(X0,X1),X0) | 'Ts21'(intersection(X0,X1),X1,X0), inference(resolution, [status(thm)], [d34,c26])). % 24.17/6.19 cnf(d36, plain, ~subset(intersection(X0,X1),X1) | 'Ts21'(intersection(X0,X1),X1,X0), inference(resolution, [status(thm)], [c0,d35])). % 24.17/6.19 cnf(d37, plain, 'Ts21'(intersection(X1,X0),X1,X0) | ~subset(intersection(X0,X1),X1), inference(superposition, [status(thm)], [c11,d36])). % 24.17/6.19 cnf(d38, plain, ~subset(intersection(X0,X1),X1) | subset(intersection(X1,X0),X0), inference(resolution, [status(thm)], [d37,c24])). % 24.17/6.19 cnf(d39, plain, ~subset(intersection(X1,X0),X1) | subset(intersection(X1,X0),X0), inference(superposition, [status(thm)], [c11,d38])). % 24.17/6.19 cnf(d40, plain, subset(intersection(X0,X1),X1), inference(resolution, [status(thm)], [c0,d39])). % 24.17/6.19 cnf(d41, plain, intersection(X0,X1) = X1 | ~subset(X1,intersection(X0,X1)), inference(resolution, [status(thm)], [d40,c10])). % 24.17/6.19 cnf(d42, plain, intersection(X0,X0) = X0, inference(superposition, [status(thm)], [d32,c11])). % 24.17/6.19 cnf(d43, plain, ~subset(X0,X0) | intersection(X0,X0) = X0, inference(superposition, [status(thm)], [d42,d41])). % 24.17/6.19 cnf(d44, plain, X0 = X0 | ~subset(X0,X0), inference(demodulation, [status(thm)], [d43,d32])). % 24.17/6.19 cnf(d45, plain, X0 = X0, inference(resolution, [status(thm)], [c12,d44])). % 24.17/6.19 cnf(d46, plain, $false, inference(resolution, [status(thm)], [d45,d25])). % 24.17/6.19 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------