%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEV517+1 : TPTP v9.3.1. Released v7.3.0. % 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 08:48:51 AM UTC 2026 % Result : Theorem 22.35s 4.30s % Output : CNFRefutation 22.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SEV517+1 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.34 % Computer : n017.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 11:06:18 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 22.35/4.30 % SZS status Theorem for theBenchmark.p % 22.35/4.30 % SZS output start CNFRefutation for theBenchmark.p % 22.35/4.30 fof(difference, axiom, ! [X0] : ! [X1] : ! [X2] : ((member(X0,difference(X2,X1)) <=> (member(X0,X2) & ~member(X0,X1))))). % 22.35/4.30 fof(singleton, axiom, ! [X0] : ! [X1] : ((member(X0,singleton(X1)) <=> X0 = X1))). % 22.35/4.30 fof(partition, axiom, ! [X0] : ! [X1] : ((partition(X0,X1) <=> (! [X2] : ((member(X2,X0) => subset(X2,X1))) & (! [X2] : ((member(X2,X1) => ? [X3] : ((member(X3,X0) & member(X2,X3))))) & ! [X2] : ! [X3] : (((member(X2,X0) & member(X3,X0)) => (? [X4] : ((member(X4,X2) & member(X4,X3))) => X2 = X3)))))))). % 22.35/4.30 fof(diff_elem_in_partition, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((member(X0,difference(X1,X2)) & partition(X3,X1)) => ? [X4] : ((member(X4,difference(X3,singleton(X2))) & member(X0,X4)))))). % 22.35/4.30 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((member(X0,difference(X1,X2)) & partition(X3,X1)) => ? [X4] : ((member(X4,difference(X3,singleton(X2))) & member(X0,X4))))), inference(negate_conjecture, [status(cth)], [diff_elem_in_partition])). % 22.35/4.30 cnf(c29, plain, ~member(X0,difference(X1,X2)) | member(X0,X1), inference(clausification, [status(esa)], [difference])). % 22.35/4.30 cnf(c30, plain, ~member(X0,difference(X1,X2)) | ~member(X0,X2), inference(clausification, [status(esa)], [difference])). % 22.35/4.30 cnf(c31, plain, member(X0,difference(X1,X2)) | ~member(X0,X1) | member(X0,X2), inference(clausification, [status(esa)], [difference])). % 22.35/4.30 cnf(c32, plain, ~member(X0,singleton(X1)) | X0 = X1, inference(clausification, [status(esa)], [singleton])). % 22.35/4.30 cnf(c46, plain, ~partition(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [partition])). % 22.35/4.30 cnf(c55, plain, ~X0(X1,X2) | ~member(X3,X2) | member(sK62(X1,X3),X1), inference(clausification, [status(esa)], [partition])). % 22.35/4.30 cnf(c56, plain, ~X0(X1,X2) | ~member(X3,X2) | member(X3,sK62(X1,X3)), inference(clausification, [status(esa)], [partition])). % 22.35/4.30 cnf(c93, plain, member(sK97,difference(sK98,sK99)), inference(clausification, [status(esa)], [negated_conjecture])). % 22.35/4.30 cnf(c94, plain, partition(sK100,sK98), inference(clausification, [status(esa)], [negated_conjecture])). % 22.35/4.30 cnf(c95, plain, ~member(X0,difference(sK100,singleton(sK99))) | ~member(sK97,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 22.35/4.30 cnf(d0, plain, 'Ts51'(sK100,sK98), inference(resolution, [status(thm)], [c46,c94])). % 22.35/4.30 cnf(d1, plain, ~member(X0,sK98) | member(X0,sK62(sK100,X0)), inference(resolution, [status(thm)], [c56,d0])). % 22.35/4.30 cnf(d2, plain, ~member(X0,sK98) | member(sK62(sK100,X0),sK100), inference(resolution, [status(thm)], [c55,d0])). % 22.35/4.30 cnf(d3, plain, member(X0,singleton(sK99)) | ~member(X0,sK100) | ~member(sK97,X0), inference(resolution, [status(thm)], [c31,c95])). % 22.35/4.30 cnf(d4, plain, ~member(X0,sK100) | ~member(sK97,X0) | X0 = sK99, inference(resolution, [status(thm)], [d3,c32])). % 22.35/4.30 cnf(d5, plain, ~member(sK97,sK98) | sK62(sK100,sK97) = sK99 | ~member(sK62(sK100,sK97),sK100), inference(resolution, [status(thm)], [d1,d4])). % 22.35/4.30 cnf(d6, plain, member(sK97,sK98), inference(resolution, [status(thm)], [c29,c93])). % 22.35/4.30 cnf(d7, plain, sK62(sK100,sK97) = sK99 | ~member(sK62(sK100,sK97),sK100), inference(resolution, [status(thm)], [d6,d5])). % 22.35/4.30 cnf(d8, plain, sK62(sK100,sK97) = sK99 | ~member(sK97,sK98), inference(resolution, [status(thm)], [d7,d2])). % 22.35/4.30 cnf(d9, plain, sK62(sK100,sK97) = sK99, inference(resolution, [status(thm)], [d6,d8])). % 22.35/4.30 cnf(d10, plain, member(sK97,sK99) | ~member(sK97,sK98), inference(superposition, [status(thm)], [d9,d1])). % 22.35/4.30 cnf(d11, plain, member(sK97,sK99), inference(resolution, [status(thm)], [d6,d10])). % 22.35/4.30 cnf(d12, plain, ~member(sK97,sK99), inference(resolution, [status(thm)], [c30,c93])). % 22.35/4.30 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d12,d11])). % 22.35/4.30 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------