%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET991+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 : n002.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 08:33:41 AM UTC 2026 % Result : Theorem 9.06s 2.05s % Output : CNFRefutation 9.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET991+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n002.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 08:32:36 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.06/2.05 % SZS status Theorem for theBenchmark.p % 9.06/2.05 % SZS output start CNFRefutation for theBenchmark.p % 9.06/2.05 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)))))))))). % 9.06/2.05 fof(t12_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (in(X0,'relation$udom'(X1)) => in(apply(X1,X0),'relation$urng'(X1)))))). % 9.06/2.05 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (in(X0,'relation$udom'(X1)) => in(apply(X1,X0),'relation$urng'(X1))))), inference(negate_conjecture, [status(cth)], [t12_funct_1])). % 9.06/2.05 cnf(c41, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$urng'(X0) | X2(X0,X1), inference(clausification, [status(esa)], [d5_funct_1])). % 9.06/2.05 cnf(c45, plain, ~X0(X1,X2) | in(X3,X2) | ~in(X4,'relation$udom'(X1)) | X3 != apply(X1,X4), inference(clausification, [status(esa)], [d5_funct_1])). % 9.06/2.05 cnf(c52, plain, relation(sK50), inference(clausification, [status(esa)], [negated_conjecture])). % 9.06/2.05 cnf(c53, plain, function(sK50), inference(clausification, [status(esa)], [negated_conjecture])). % 9.06/2.05 cnf(c54, plain, in(sK49,'relation$udom'(sK50)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.06/2.05 cnf(c55, plain, ~in(apply(sK50,sK49),'relation$urng'(sK50)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.06/2.05 cnf(d0, plain, ~relation(X0) | ~function(X0) | 'Ts40'(X0,'relation$urng'(X0)), inference(equality_resolution, [status(thm)], [c41])). % 9.06/2.05 cnf(d1, plain, in(apply(X0,X1),X2) | ~in(X1,'relation$udom'(X0)) | ~'Ts40'(X0,X2), inference(equality_resolution, [status(thm)], [c45])). % 9.06/2.05 cnf(d2, plain, ~in(sK49,'relation$udom'(sK50)) | ~'Ts40'(sK50,'relation$urng'(sK50)), inference(resolution, [status(thm)], [d1,c55])). % 9.06/2.05 cnf(d3, plain, ~'Ts40'(sK50,'relation$urng'(sK50)), inference(resolution, [status(thm)], [c54,d2])). % 9.06/2.05 cnf(d4, plain, ~relation(sK50) | ~function(sK50), inference(resolution, [status(thm)], [d3,d0])). % 9.06/2.05 cnf(d5, plain, ~function(sK50), inference(resolution, [status(thm)], [c52,d4])). % 9.06/2.05 cnf(d6, plain, $false, inference(resolution, [status(thm)], [c53,d5])). % 9.06/2.05 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------