%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 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 08:41:33 AM UTC 2026
% Result : Theorem 13.87s 7.31s
% Output : CNFRefutation 13.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.60 % Computer : n017.cluster.edu
% 0.13/5.60 % Model : x86_64 x86_64
% 0.13/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.60 % Memory : 8046.5625MB
% 0.13/5.60 % OS : Linux 6.8.0-71-generic
% 0.13/5.60 % CPULimit : 300
% 0.13/5.60 % WCLimit : 300
% 0.13/5.60 % DateTime : Sat Sep 26 09:01:25 UTC 2026
% 0.13/5.60 % CPUTime :
% 0.13/5.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/7.31 % SZS status Theorem for theBenchmark.p
% 13.87/7.31 % SZS output start CNFRefutation for theBenchmark.p
% 13.87/7.31 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((element(X2,powerset('cartesian$uproduct2'(X0,X1))) => relation(X2)))).
% 13.87/7.31 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => (((X1 = 'empty$uset' => X0 = 'empty$uset') => ('quasi$utotal'(X2,X0,X1) <=> X0 = 'relation$udom$uas$usubset'(X0,X1,X2))) & (X1 = 'empty$uset' => (X0 = 'empty$uset' | ('quasi$utotal'(X2,X0,X1) <=> X2 = 'empty$uset'))))))).
% 13.87/7.31 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)))))))))).
% 13.87/7.31 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => element(X2,powerset('cartesian$uproduct2'(X0,X1)))))).
% 13.87/7.31 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => 'relation$udom$uas$usubset'(X0,X1,X2) = 'relation$udom'(X2)))).
% 13.87/7.31 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) <=> 'relation$uof2'(X2,X0,X1)))).
% 13.87/7.31 fof(t6_funct_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (in(X2,X0) => (X1 = 'empty$uset' | in(apply(X3,X2),'relation$urng'(X3))))))).
% 13.87/7.31 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (in(X2,X0) => (X1 = 'empty$uset' | in(apply(X3,X2),'relation$urng'(X3)))))), inference(negate_conjecture, [status(cth)], [t6_funct_2])).
% 13.87/7.31 cnf(c3, plain, ~element(X0,powerset('cartesian$uproduct2'(X1,X2))) | relation(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 13.87/7.31 cnf(c7, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 13.87/7.31 cnf(c8, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | ~'quasi$utotal'(X3,X1,X2) | X1 = 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 13.87/7.31 cnf(c14, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$urng'(X0) | X2(X0,X1), inference(clausification, [status(esa)], [d5_funct_1])).
% 13.87/7.31 cnf(c18, plain, ~X0(X1,X2) | in(X3,X2) | ~in(X4,'relation$udom'(X1)) | X3 != apply(X1,X4), inference(clausification, [status(esa)], [d5_funct_1])).
% 13.87/7.31 cnf(c26, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | element(X0,powerset('cartesian$uproduct2'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 13.87/7.31 cnf(c78, plain, ~'relation$uof2'(X0,X1,X2) | 'relation$udom$uas$usubset'(X1,X2,X0) = 'relation$udom'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 13.87/7.31 cnf(c79, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | 'relation$uof2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 13.87/7.31 cnf(c91, plain, function(sK90), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(c92, plain, 'quasi$utotal'(sK90,sK87,sK88), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(c93, plain, 'relation$uof2$uas$usubset'(sK90,sK87,sK88), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(c94, plain, in(sK89,sK87), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(c95, plain, sK88 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(c96, plain, ~in(apply(sK90,sK89),'relation$urng'(sK90)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.87/7.31 cnf(d0, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | relation(X0), inference(resolution, [status(thm)], [c26,c3])).
% 13.87/7.31 cnf(d1, plain, relation(sK90), inference(resolution, [status(thm)], [d0,c93])).
% 13.87/7.31 cnf(d2, plain, ~function(X0) | ~relation(X0) | 'Ts12'(X0,'relation$urng'(X0)), inference(equality_resolution, [status(thm)], [c14])).
% 13.87/7.31 cnf(d3, plain, sK88 = 'empty$uset' | sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90) | ~'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c8,c92])).
% 13.87/7.31 cnf(d4, plain, sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90) | ~'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c95,d3])).
% 13.87/7.31 cnf(d5, plain, 'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c7,c93])).
% 13.87/7.31 cnf(d6, plain, sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90), inference(resolution, [status(thm)], [d5,d4])).
% 13.87/7.31 cnf(d7, plain, 'relation$uof2'(sK90,sK87,sK88), inference(resolution, [status(thm)], [c79,c93])).
% 13.87/7.31 cnf(d8, plain, 'relation$udom$uas$usubset'(sK87,sK88,sK90) = 'relation$udom'(sK90), inference(resolution, [status(thm)], [d7,c78])).
% 13.87/7.31 cnf(d9, plain, sK87 = 'relation$udom'(sK90), inference(demodulation, [status(thm)], [d8,d6])).
% 13.87/7.31 cnf(d10, plain, ~in(X0,'relation$udom'(X1)) | in(apply(X1,X0),X2) | ~'Ts12'(X1,X2), inference(equality_resolution, [status(thm)], [c18])).
% 13.87/7.31 cnf(d11, plain, ~in(sK89,'relation$udom'(sK90)) | ~'Ts12'(sK90,'relation$urng'(sK90)), inference(resolution, [status(thm)], [d10,c96])).
% 13.87/7.31 cnf(d12, plain, ~in(sK89,sK87) | ~'Ts12'(sK90,'relation$urng'(sK90)), inference(demodulation, [status(thm)], [d11,d9])).
% 13.87/7.31 cnf(d13, plain, ~'Ts12'(sK90,'relation$urng'(sK90)), inference(resolution, [status(thm)], [c94,d12])).
% 13.87/7.31 cnf(d14, plain, ~function(sK90) | ~relation(sK90), inference(resolution, [status(thm)], [d13,d2])).
% 13.87/7.31 cnf(d15, plain, ~relation(sK90), inference(resolution, [status(thm)], [c91,d14])).
% 13.87/7.31 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d15,d1])).
% 13.87/7.31 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------