%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU019+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 : n004.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 08:40:45 AM UTC 2026
% Result : Theorem 8.74s 14.39s
% Output : CNFRefutation 8.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU019+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
% 0.12/10.77 % Computer : n004.cluster.edu
% 0.12/10.77 % Model : x86_64 x86_64
% 0.12/10.77 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.77 % Memory : 8046.5625MB
% 0.12/10.77 % OS : Linux 6.8.0-71-generic
% 0.12/10.77 % CPULimit : 300
% 0.12/10.77 % WCLimit : 300
% 0.12/10.77 % DateTime : Sat Sep 26 08:31:03 UTC 2026
% 0.12/10.77 % CPUTime :
% 0.12/10.77 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.74/14.39 % SZS status Theorem for theBenchmark.p
% 8.74/14.39 % SZS output start CNFRefutation for theBenchmark.p
% 8.74/14.39 fof(d8_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) <=> ! [X1] : ! [X2] : (((in(X1,'relation$udom'(X0)) & (in(X2,'relation$udom'(X0)) & apply(X0,X1) = apply(X0,X2))) => X1 = X2)))))).
% 8.74/14.39 fof(dt_k6_relat_1, axiom, ! [X0] : relation('identity$urelation'(X0))).
% 8.74/14.39 fof(fc2_funct_1, axiom, ! [X0] : ((relation('identity$urelation'(X0)) & function('identity$urelation'(X0))))).
% 8.74/14.39 fof(t34_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (X1 = 'identity$urelation'(X0) <=> ('relation$udom'(X1) = X0 & ! [X2] : ((in(X2,X0) => apply(X1,X2) = X2))))))).
% 8.74/14.39 fof(t52_funct_1, conjecture, ! [X0] : 'one$uto$uone'('identity$urelation'(X0))).
% 8.74/14.39 fof(negated_conjecture, negated_conjecture, ~! [X0] : 'one$uto$uone'('identity$urelation'(X0)), inference(negate_conjecture, [status(cth)], [t52_funct_1])).
% 8.74/14.39 cnf(c4, plain, ~relation(X0) | ~function(X0) | 'one$uto$uone'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 8.74/14.39 cnf(c6, plain, X0(X1) | in(sK8(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 8.74/14.39 cnf(c7, plain, X0(X1) | in(sK9(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 8.74/14.39 cnf(c8, plain, X0(X1) | apply(X1,sK8(X1)) = apply(X1,sK9(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 8.74/14.39 cnf(c9, plain, X0(X1) | sK8(X1) != sK9(X1), inference(clausification, [status(esa)], [d8_funct_1])).
% 8.74/14.39 cnf(c10, plain, relation('identity$urelation'(X0)), inference(clausification, [status(esa)], [dt_k6_relat_1])).
% 8.74/14.39 cnf(c18, plain, function('identity$urelation'(X0)), inference(clausification, [status(esa)], [fc2_funct_1])).
% 8.74/14.39 cnf(c41, plain, ~relation(X0) | ~function(X0) | X0 != 'identity$urelation'(X1) | 'relation$udom'(X0) = X1, inference(clausification, [status(esa)], [t34_funct_1])).
% 8.74/14.39 cnf(c42, plain, ~relation(X0) | ~in(X1,X2) | apply(X0,X1) = X1 | ~function(X0) | X0 != 'identity$urelation'(X2), inference(clausification, [status(esa)], [t34_funct_1])).
% 8.74/14.39 cnf(c52, plain, ~'one$uto$uone'('identity$urelation'(sK50)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.74/14.39 cnf(d0, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0) | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)), inference(equality_resolution, [status(thm)], [c42])).
% 8.74/14.39 cnf(d1, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0) | ~function('identity$urelation'(X0)), inference(resolution, [status(thm)], [c10,d0])).
% 8.74/14.39 cnf(d2, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0), inference(resolution, [status(thm)], [c18,d1])).
% 8.74/14.39 cnf(d3, plain, 'relation$udom'('identity$urelation'(X0)) = X0 | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)), inference(equality_resolution, [status(thm)], [c41])).
% 8.74/14.39 cnf(d4, plain, 'relation$udom'('identity$urelation'(X0)) = X0 | ~function('identity$urelation'(X0)), inference(resolution, [status(thm)], [c10,d3])).
% 8.74/14.39 cnf(d5, plain, 'relation$udom'('identity$urelation'(X0)) = X0, inference(resolution, [status(thm)], [c18,d4])).
% 8.74/14.39 cnf(d6, plain, in(sK8('identity$urelation'(X0)),X0) | 'Ts4'('identity$urelation'(X0)), inference(superposition, [status(thm)], [d5,c6])).
% 8.74/14.39 cnf(d7, plain, 'Ts4'('identity$urelation'(X0)) | apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = sK8('identity$urelation'(X0)), inference(resolution, [status(thm)], [d6,d2])).
% 8.74/14.39 cnf(d8, plain, apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = sK8('identity$urelation'(X0)) | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [d7,c4])).
% 8.74/14.39 cnf(d9, plain, apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = sK8('identity$urelation'(X0)) | ~function('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [c10,d8])).
% 8.74/14.39 cnf(d10, plain, apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = sK8('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [c18,d9])).
% 8.74/14.39 cnf(d11, plain, apply('identity$urelation'(sK50),sK8('identity$urelation'(sK50))) = sK8('identity$urelation'(sK50)), inference(resolution, [status(thm)], [d10,c52])).
% 8.74/14.39 cnf(d12, plain, apply(X0,sK8(X0)) = apply(X0,sK9(X0)) | ~function(X0) | ~relation(X0) | 'one$uto$uone'(X0), inference(resolution, [status(thm)], [c8,c4])).
% 8.74/14.39 cnf(d13, plain, apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) | ~function('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [d12,c10])).
% 8.74/14.39 cnf(d14, plain, apply('identity$urelation'(X0),sK8('identity$urelation'(X0))) = apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [c18,d13])).
% 8.74/14.39 cnf(d15, plain, apply('identity$urelation'(sK50),sK8('identity$urelation'(sK50))) = apply('identity$urelation'(sK50),sK9('identity$urelation'(sK50))), inference(resolution, [status(thm)], [d14,c52])).
% 8.74/14.39 cnf(d16, plain, sK8('identity$urelation'(sK50)) = apply('identity$urelation'(sK50),sK9('identity$urelation'(sK50))), inference(demodulation, [status(thm)], [d15,d11])).
% 8.74/14.39 cnf(d17, plain, in(sK9('identity$urelation'(X0)),X0) | 'Ts4'('identity$urelation'(X0)), inference(superposition, [status(thm)], [d5,c7])).
% 8.74/14.39 cnf(d18, plain, 'Ts4'('identity$urelation'(X0)) | apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) = sK9('identity$urelation'(X0)), inference(resolution, [status(thm)], [d17,d2])).
% 8.74/14.39 cnf(d19, plain, apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) = sK9('identity$urelation'(X0)) | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [d18,c4])).
% 8.74/14.39 cnf(d20, plain, apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) = sK9('identity$urelation'(X0)) | ~function('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [c10,d19])).
% 8.74/14.39 cnf(d21, plain, apply('identity$urelation'(X0),sK9('identity$urelation'(X0))) = sK9('identity$urelation'(X0)) | 'one$uto$uone'('identity$urelation'(X0)), inference(resolution, [status(thm)], [c18,d20])).
% 8.74/14.39 cnf(d22, plain, apply('identity$urelation'(sK50),sK9('identity$urelation'(sK50))) = sK9('identity$urelation'(sK50)), inference(resolution, [status(thm)], [d21,c52])).
% 8.74/14.39 cnf(d23, plain, sK8('identity$urelation'(sK50)) = sK9('identity$urelation'(sK50)), inference(demodulation, [status(thm)], [d22,d16])).
% 8.74/14.39 cnf(d24, plain, sK8('identity$urelation'(sK50)) != sK8('identity$urelation'(sK50)) | 'Ts4'('identity$urelation'(sK50)), inference(superposition, [status(thm)], [d23,c9])).
% 8.74/14.39 cnf(d25, plain, 'Ts4'('identity$urelation'(sK50)), inference(equality_resolution, [status(thm)], [d24])).
% 8.74/14.39 cnf(d26, plain, ~function('identity$urelation'(sK50)) | ~relation('identity$urelation'(sK50)) | 'one$uto$uone'('identity$urelation'(sK50)), inference(resolution, [status(thm)], [d25,c4])).
% 8.74/14.39 cnf(d27, plain, ~function('identity$urelation'(sK50)) | ~relation('identity$urelation'(sK50)), inference(resolution, [status(thm)], [c52,d26])).
% 8.74/14.39 cnf(d28, plain, ~function('identity$urelation'(sK50)), inference(resolution, [status(thm)], [c10,d27])).
% 8.74/14.39 cnf(d29, plain, $false, inference(resolution, [status(thm)], [c18,d28])).
% 8.74/14.39 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------