%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET597+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 : n017.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 24.02s 5.77s % Output : CNFRefutation 24.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET597+3 : TPTP v9.3.1. Released v2.2.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.45 % Computer : n017.cluster.edu % 0.18/0.45 % Model : x86_64 x86_64 % 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.45 % Memory : 8046.5625MB % 0.18/0.45 % OS : Linux 6.8.0-71-generic % 0.18/0.45 % CPULimit : 300 % 0.18/0.45 % WCLimit : 300 % 0.18/0.45 % DateTime : Sat Sep 26 07:53:48 UTC 2026 % 0.18/0.45 % CPUTime : % 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.02/5.77 % SZS status Theorem for theBenchmark.p % 24.02/5.77 % SZS output start CNFRefutation for theBenchmark.p % 24.02/5.77 fof(subset_of_union, axiom, ! [X0] : ! [X1] : subset(X0,union(X0,X1))). % 24.02/5.77 fof(union_subset, axiom, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X2,X1)) => subset(union(X0,X2),X1)))). % 24.02/5.77 fof(union_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((member(X2,union(X0,X1)) <=> (member(X2,X0) | member(X2,X1))))). % 24.02/5.77 fof(subset_defn, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((member(X2,X0) => member(X2,X1)))))). % 24.02/5.77 fof(equal_defn, axiom, ! [X0] : ! [X1] : ((X0 = X1 <=> (subset(X0,X1) & subset(X1,X0))))). % 24.02/5.77 fof(commutativity_of_union, axiom, ! [X0] : ! [X1] : union(X0,X1) = union(X1,X0)). % 24.02/5.77 fof(prove_th56, conjecture, ! [X0] : ! [X1] : ! [X2] : ((X0 = union(X1,X2) <=> (subset(X1,X0) & (subset(X2,X0) & ! [X3] : (((subset(X1,X3) & subset(X2,X3)) => subset(X0,X3)))))))). % 24.02/5.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((X0 = union(X1,X2) <=> (subset(X1,X0) & (subset(X2,X0) & ! [X3] : (((subset(X1,X3) & subset(X2,X3)) => subset(X0,X3))))))), inference(negate_conjecture, [status(cth)], [prove_th56])). % 24.02/5.77 cnf(c0, plain, subset(X0,union(X0,X1)), inference(clausification, [status(esa)], [subset_of_union])). % 24.02/5.77 cnf(c1, plain, ~subset(X0,X1) | ~subset(X2,X1) | subset(union(X0,X2),X1), inference(clausification, [status(esa)], [union_subset])). % 24.02/5.77 cnf(c4, plain, member(X0,union(X1,X2)) | ~member(X0,X2), inference(clausification, [status(esa)], [union_defn])). % 24.02/5.77 cnf(c6, plain, subset(X0,X1) | member(sK11(X0,X1),X0), inference(clausification, [status(esa)], [subset_defn])). % 24.02/5.77 cnf(c7, plain, subset(X0,X1) | ~member(sK11(X0,X1),X1), inference(clausification, [status(esa)], [subset_defn])). % 24.02/5.77 cnf(c10, plain, X0 = X1 | ~subset(X0,X1) | ~subset(X1,X0), inference(clausification, [status(esa)], [equal_defn])). % 24.02/5.77 cnf(c11, plain, union(X0,X1) = union(X1,X0), inference(clausification, [status(esa)], [commutativity_of_union])). % 24.02/5.77 cnf(c20, plain, sK22 = union(sK23,sK24) | X0(sK22,sK23,sK24), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c21, plain, ~X0(sK22,sK23,sK24) | sK22 != union(sK23,sK24), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c23, plain, ~X0(X1,X2,X3) | subset(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c24, plain, ~X0(X1,X2,X3) | subset(X3,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c25, plain, ~X0(X1,X2,X3) | ~subset(X2,X4) | ~subset(X3,X4) | subset(X1,X4), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c26, plain, X0(X1,X2,X3) | ~subset(X2,X1) | ~subset(X3,X1) | subset(X2,sK26(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c27, plain, X0(X1,X2,X3) | ~subset(X2,X1) | ~subset(X3,X1) | subset(X3,sK26(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(c28, plain, X0(X1,X2,X3) | ~subset(X2,X1) | ~subset(X3,X1) | ~subset(X1,sK26(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.02/5.77 cnf(d0, plain, ~subset(X0,sK26(union(X0,X1),X2,X3)) | ~subset(X1,sK26(union(X0,X1),X2,X3)) | ~subset(X2,union(X0,X1)) | ~subset(X3,union(X0,X1)) | 'Ts21'(union(X0,X1),X2,X3), inference(resolution, [status(thm)], [c1,c28])). % 24.02/5.78 cnf(d1, plain, ~subset(X0,union(X1,X2)) | ~subset(X1,union(X1,X2)) | ~subset(X2,sK26(union(X1,X2),X1,X0)) | 'Ts21'(union(X1,X2),X1,X0) | ~subset(X1,union(X1,X2)) | ~subset(X0,union(X1,X2)) | 'Ts21'(union(X1,X2),X1,X0), inference(resolution, [status(thm)], [d0,c26])). % 24.02/5.78 cnf(d2, plain, ~subset(X0,sK26(union(X1,X0),X1,X2)) | ~subset(X2,union(X1,X0)) | 'Ts21'(union(X1,X0),X1,X2), inference(resolution, [status(thm)], [c0,d1])). % 24.02/5.78 cnf(d3, plain, ~subset(X0,union(X1,X0)) | 'Ts21'(union(X1,X0),X1,X0) | ~subset(X1,union(X1,X0)) | ~subset(X0,union(X1,X0)) | 'Ts21'(union(X1,X0),X1,X0), inference(resolution, [status(thm)], [d2,c27])). % 24.02/5.78 cnf(d4, plain, ~subset(X0,union(X1,X0)) | 'Ts21'(union(X1,X0),X1,X0), inference(resolution, [status(thm)], [c0,d3])). % 24.02/5.78 cnf(d5, plain, 'Ts21'(sK22,sK23,sK24) | ~subset(sK24,union(sK23,sK24)) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,d4])). % 24.02/5.78 cnf(d6, plain, ~subset(sK24,sK22) | 'Ts21'(sK22,sK23,sK24) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,d5])). % 24.02/5.78 cnf(d7, plain, ~subset(sK24,sK22) | ~subset(sK24,X0) | subset(sK22,X0) | ~subset(sK23,X0), inference(resolution, [status(thm)], [d6,c25])). % 24.02/5.78 cnf(d8, plain, member(X0,sK22) | ~member(X0,sK24) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,c4])). % 24.02/5.78 cnf(d9, plain, member(X0,sK22) | ~member(X0,sK24) | subset(sK24,sK22), inference(resolution, [status(thm)], [d8,c24])). % 24.02/5.78 cnf(d10, plain, subset(sK24,X0) | subset(sK24,sK22) | member(sK11(sK24,X0),sK22), inference(resolution, [status(thm)], [c6,d9])). % 24.02/5.78 cnf(d11, plain, subset(sK24,sK22) | subset(sK24,sK22) | subset(sK24,sK22), inference(resolution, [status(thm)], [c7,d10])). % 24.02/5.78 cnf(d12, plain, subset(sK22,X0) | ~subset(sK23,X0) | ~subset(sK24,X0), inference(resolution, [status(thm)], [d11,d7])). % 24.02/5.78 cnf(d13, plain, subset(sK22,union(sK24,X0)) | ~subset(sK23,union(sK24,X0)), inference(resolution, [status(thm)], [d12,c0])). % 24.02/5.78 cnf(d14, plain, ~subset(sK23,union(X0,sK24)) | subset(sK22,union(sK24,X0)), inference(superposition, [status(thm)], [c11,d13])). % 24.02/5.78 cnf(d15, plain, subset(sK22,union(sK24,sK23)), inference(resolution, [status(thm)], [d14,c0])). % 24.02/5.78 cnf(d16, plain, subset(sK22,union(sK23,sK24)), inference(demodulation, [status(thm)], [d15,c11])). % 24.02/5.78 cnf(d17, plain, sK22 = union(sK23,sK24) | ~subset(union(sK23,sK24),sK22), inference(resolution, [status(thm)], [d16,c10])). % 24.02/5.78 cnf(d18, plain, 'Ts21'(sK22,sK23,sK24), inference(resolution, [status(thm)], [d11,d6])). % 24.02/5.78 cnf(d19, plain, sK22 != union(sK23,sK24), inference(resolution, [status(thm)], [d18,c21])). % 24.02/5.78 cnf(d20, plain, ~subset(union(sK23,sK24),sK22), inference(resolution, [status(thm)], [d19,d17])). % 24.02/5.78 cnf(d21, plain, ~subset(sK23,sK22) | ~subset(sK24,sK22), inference(resolution, [status(thm)], [d20,c1])). % 24.02/5.78 cnf(d22, plain, subset(sK23,sK22) | 'Ts21'(sK22,sK23,sK24), inference(superposition, [status(thm)], [c20,c0])). % 24.02/5.78 cnf(d23, plain, subset(sK23,sK22) | subset(sK23,sK22), inference(resolution, [status(thm)], [d22,c23])). % 24.02/5.78 cnf(d24, plain, ~subset(sK24,sK22), inference(resolution, [status(thm)], [d23,d21])). % 24.02/5.78 cnf(d25, plain, $false, inference(resolution, [status(thm)], [d11,d24])). % 24.02/5.78 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------