%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET884+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n026.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 08:33:30 AM UTC 2026 % Result : Theorem 16.64s 7.56s % Output : CNFRefutation 16.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET884+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/5.38 % Computer : n026.cluster.edu % 0.09/5.38 % Model : x86_64 x86_64 % 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.38 % Memory : 8046.5625MB % 0.09/5.38 % OS : Linux 6.8.0-71-generic % 0.09/5.38 % CPULimit : 300 % 0.09/5.38 % WCLimit : 300 % 0.09/5.38 % DateTime : Sat Sep 26 08:27:02 UTC 2026 % 0.09/5.38 % CPUTime : % 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.64/7.56 % SZS status Theorem for theBenchmark.p % 16.64/7.56 % SZS output start CNFRefutation for theBenchmark.p % 16.64/7.56 fof(commutativity_k2_tarski, axiom, ! [X0] : ! [X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0)). % 16.64/7.56 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 16.64/7.56 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))). % 16.64/7.56 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 16.64/7.56 fof(t25_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ~((subset(singleton(X0),'unordered$upair'(X1,X2)) & (X0 != X1 & X0 != X2)))). % 16.64/7.56 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ~((subset(singleton(X0),'unordered$upair'(X1,X2)) & (X0 != X1 & X0 != X2))), inference(negate_conjecture, [status(cth)], [t25_zfmisc_1])). % 16.64/7.56 cnf(c1, plain, 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_tarski])). % 16.64/7.56 cnf(c3, plain, X0 != singleton(X1) | in(X2,X0) | X2 != X1, inference(clausification, [status(esa)], [d1_tarski])). % 16.64/7.56 cnf(c8, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])). % 16.64/7.56 cnf(c10, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = X1 | X4 = X2, inference(clausification, [status(esa)], [d2_tarski])). % 16.64/7.56 cnf(c19, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 16.64/7.56 cnf(c25, plain, subset(singleton(sK22),'unordered$upair'(sK23,sK24)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.56 cnf(c26, plain, sK22 != sK23, inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.56 cnf(c27, plain, sK22 != sK24, inference(clausification, [status(esa)], [negated_conjecture])). % 16.64/7.56 cnf(d0, plain, X0 != X1 | in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c3])). % 16.64/7.56 cnf(d1, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d0])). % 16.64/7.56 cnf(d2, plain, in(X0,'unordered$upair'(sK23,sK24)) | ~in(X0,singleton(sK22)), inference(resolution, [status(thm)], [c19,c25])). % 16.64/7.56 cnf(d3, plain, 'Ts8'(X0,X1,'unordered$upair'(X0,X1)), inference(equality_resolution, [status(thm)], [c8])). % 16.64/7.56 cnf(d4, plain, 'Ts8'(X0,X1,'unordered$upair'(X1,X0)), inference(superposition, [status(thm)], [c1,d3])). % 16.64/7.56 cnf(d5, plain, X0 = X1 | X0 = X2 | ~in(X0,'unordered$upair'(X1,X2)), inference(resolution, [status(thm)], [c10,d4])). % 16.64/7.56 cnf(d6, plain, X0 = sK24 | X0 = sK23 | ~in(X0,singleton(sK22)), inference(resolution, [status(thm)], [d5,d2])). % 16.64/7.56 cnf(d7, plain, sK22 = sK23 | sK22 = sK24, inference(resolution, [status(thm)], [d6,d1])). % 16.64/7.56 cnf(d8, plain, sK22 = sK24, inference(resolution, [status(thm)], [c26,d7])). % 16.64/7.56 cnf(d9, plain, $false, inference(resolution, [status(thm)], [c27,d8])). % 16.64/7.56 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------