%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET872+1 : TPTP v9.3.1. Released v3.2.0. % 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 08:33:28 AM UTC 2026 % Result : Theorem 10.75s 2.90s % Output : CNFRefutation 10.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET872+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.46 % Computer : n017.cluster.edu % 0.19/0.46 % Model : x86_64 x86_64 % 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.46 % Memory : 8046.5625MB % 0.19/0.46 % OS : Linux 6.8.0-71-generic % 0.19/0.46 % CPULimit : 300 % 0.19/0.46 % WCLimit : 300 % 0.19/0.46 % DateTime : Sat Sep 26 08:18:49 UTC 2026 % 0.19/0.46 % CPUTime : % 0.19/0.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.75/2.90 % SZS status Theorem for theBenchmark.p % 10.75/2.90 % SZS output start CNFRefutation for theBenchmark.p % 10.75/2.90 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 10.75/2.90 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))). % 10.75/2.90 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 10.75/2.90 fof(t12_zfmisc_1, conjecture, ! [X0] : ! [X1] : subset(singleton(X0),'unordered$upair'(X0,X1))). % 10.75/2.90 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : subset(singleton(X0),'unordered$upair'(X0,X1)), inference(negate_conjecture, [status(cth)], [t12_zfmisc_1])). % 10.75/2.90 cnf(c2, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 10.75/2.90 cnf(c8, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])). % 10.75/2.90 cnf(c11, plain, ~X0(X1,X2,X3) | in(X4,X3) | X4 != X1, inference(clausification, [status(esa)], [d2_tarski])). % 10.75/2.90 cnf(c20, plain, subset(X0,X1) | in(sK17(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])). % 10.75/2.90 cnf(c21, plain, subset(X0,X1) | ~in(sK17(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])). % 10.75/2.90 cnf(c25, plain, ~subset(singleton(sK22),'unordered$upair'(sK22,sK23)), inference(clausification, [status(esa)], [negated_conjecture])). % 10.75/2.90 cnf(d0, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c2])). % 10.75/2.90 cnf(d1, plain, subset(singleton(X0),X1) | sK17(singleton(X0),X1) = X0, inference(resolution, [status(thm)], [c20,d0])). % 10.75/2.90 cnf(d2, plain, sK17(singleton(sK22),'unordered$upair'(sK22,sK23)) = sK22, inference(resolution, [status(thm)], [d1,c25])). % 10.75/2.90 cnf(d3, plain, ~in(sK22,'unordered$upair'(sK22,sK23)) | subset(singleton(sK22),'unordered$upair'(sK22,sK23)), inference(superposition, [status(thm)], [d2,c21])). % 10.75/2.90 cnf(d4, plain, ~in(sK22,'unordered$upair'(sK22,sK23)), inference(resolution, [status(thm)], [c25,d3])). % 10.75/2.90 cnf(d5, plain, 'Ts8'(X0,X1,'unordered$upair'(X0,X1)), inference(equality_resolution, [status(thm)], [c8])). % 10.75/2.90 cnf(d6, plain, in(X0,X1) | ~'Ts8'(X0,X2,X1), inference(equality_resolution, [status(thm)], [c11])). % 10.75/2.90 cnf(d7, plain, in(X0,'unordered$upair'(X0,X1)), inference(resolution, [status(thm)], [d6,d5])). % 10.75/2.90 cnf(d8, plain, $false, inference(resolution, [status(thm)], [d7,d4])). % 10.75/2.90 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------