%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET997+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 : 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 08:33:42 AM UTC 2026 % Result : Theorem 11.82s 2.14s % Output : CNFRefutation 11.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET997+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 % 0.10/0.37 % Computer : n017.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 08:24:48 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 11.82/2.14 % SZS status Theorem for theBenchmark.p % 11.82/2.14 % SZS output start CNFRefutation for theBenchmark.p % 11.82/2.14 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 11.82/2.14 fof(d5_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)))))))))). % 11.82/2.14 fof(t19_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (! [X2] : ~((in(X2,X0) & ! [X3] : ~((in(X3,'relation$udom'(X1)) & X2 = apply(X1,X3))))) => subset(X0,'relation$urng'(X1)))))). % 11.82/2.14 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (! [X2] : ~((in(X2,X0) & ! [X3] : ~((in(X3,'relation$udom'(X1)) & X2 = apply(X1,X3))))) => subset(X0,'relation$urng'(X1))))), inference(negate_conjecture, [status(cth)], [t19_funct_1])). % 11.82/2.14 cnf(c4, plain, subset(X0,X1) | in(sK7(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])). % 11.82/2.14 cnf(c5, plain, subset(X0,X1) | ~in(sK7(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])). % 11.82/2.14 cnf(c6, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$urng'(X0) | X2(X0,X1), inference(clausification, [status(esa)], [d5_funct_1])). % 11.82/2.14 cnf(c10, plain, ~X0(X1,X2) | in(X3,X2) | ~in(X4,'relation$udom'(X1)) | X3 != apply(X1,X4), inference(clausification, [status(esa)], [d5_funct_1])). % 11.82/2.14 cnf(c55, plain, relation(sK54), inference(clausification, [status(esa)], [negated_conjecture])). % 11.82/2.14 cnf(c56, plain, function(sK54), inference(clausification, [status(esa)], [negated_conjecture])). % 11.82/2.14 cnf(c57, plain, ~in(X0,sK53) | in(sK56(X0),'relation$udom'(sK54)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.82/2.14 cnf(c58, plain, ~in(X0,sK53) | X0 = apply(sK54,sK56(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.82/2.14 cnf(c59, plain, ~subset(sK53,'relation$urng'(sK54)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.82/2.14 cnf(d0, plain, sK7(sK53,X0) = apply(sK54,sK56(sK7(sK53,X0))) | subset(sK53,X0), inference(resolution, [status(thm)], [c58,c4])). % 11.82/2.14 cnf(d1, plain, sK7(sK53,'relation$urng'(sK54)) = apply(sK54,sK56(sK7(sK53,'relation$urng'(sK54)))), inference(resolution, [status(thm)], [d0,c59])). % 11.82/2.14 cnf(d2, plain, X0 != sK7(sK53,'relation$urng'(sK54)) | ~in(sK56(sK7(sK53,'relation$urng'(sK54))),'relation$udom'(sK54)) | in(X0,X1) | ~'Ts8'(sK54,X1), inference(superposition, [status(thm)], [d1,c10])). % 11.82/2.14 cnf(d3, plain, in(sK7(sK53,'relation$urng'(sK54)),X0) | ~in(sK56(sK7(sK53,'relation$urng'(sK54))),'relation$udom'(sK54)) | ~'Ts8'(sK54,X0), inference(equality_resolution, [status(thm)], [d2])). % 11.82/2.14 cnf(d4, plain, in(sK7(sK53,'relation$urng'(sK54)),X0) | ~'Ts8'(sK54,X0) | ~in(sK7(sK53,'relation$urng'(sK54)),sK53), inference(resolution, [status(thm)], [d3,c57])). % 11.82/2.14 cnf(d5, plain, in(sK7(sK53,'relation$urng'(sK54)),X0) | ~'Ts8'(sK54,X0) | subset(sK53,'relation$urng'(sK54)), inference(resolution, [status(thm)], [d4,c4])). % 11.82/2.14 cnf(d6, plain, in(sK7(sK53,'relation$urng'(sK54)),X0) | ~'Ts8'(sK54,X0), inference(resolution, [status(thm)], [c59,d5])). % 11.82/2.14 cnf(d7, plain, ~'Ts8'(sK54,'relation$urng'(sK54)) | subset(sK53,'relation$urng'(sK54)), inference(resolution, [status(thm)], [d6,c5])). % 11.82/2.14 cnf(d8, plain, ~'Ts8'(sK54,'relation$urng'(sK54)), inference(resolution, [status(thm)], [c59,d7])). % 11.82/2.14 cnf(d9, plain, ~function(X0) | ~relation(X0) | 'Ts8'(X0,'relation$urng'(X0)), inference(equality_resolution, [status(thm)], [c6])). % 11.82/2.14 cnf(d10, plain, ~function(sK54) | ~relation(sK54), inference(resolution, [status(thm)], [d9,d8])). % 11.82/2.14 cnf(d11, plain, ~function(sK54), inference(resolution, [status(thm)], [c55,d10])). % 11.82/2.14 cnf(d12, plain, $false, inference(resolution, [status(thm)], [c56,d11])). % 11.82/2.14 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------