%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 08:41:20 AM UTC 2026
% Result : Theorem 24.10s 8.90s
% Output : CNFRefutation 24.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n019.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sat Sep 26 08:53:41 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.10/8.90 % SZS status Theorem for theBenchmark.p
% 24.10/8.90 % SZS output start CNFRefutation for theBenchmark.p
% 24.10/8.90 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 24.10/8.90 fof(dt_k7_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$udom$urestriction'(X0,X1))))).
% 24.10/8.90 fof(fc4_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X0) & function(X0)) => (relation('relation$udom$urestriction'(X0,X1)) & function('relation$udom$urestriction'(X0,X1)))))).
% 24.10/8.90 fof(t68_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (X1 = 'relation$udom$urestriction'(X2,X0) <=> ('relation$udom'(X1) = 'set$uintersection2'('relation$udom'(X2),X0) & ! [X3] : ((in(X3,'relation$udom'(X1)) => apply(X1,X3) = apply(X2,X3)))))))))).
% 24.10/8.90 fof(l82_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0))) <=> (in(X1,'relation$udom'(X2)) & in(X1,X0)))))).
% 24.10/8.91 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0))) <=> (in(X1,'relation$udom'(X2)) & in(X1,X0))))), inference(negate_conjecture, [status(cth)], [l82_funct_1])).
% 24.10/8.91 cnf(c7, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 24.10/8.91 cnf(c9, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 24.10/8.91 cnf(c10, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 24.10/8.91 cnf(c11, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 24.10/8.91 cnf(c18, plain, ~relation(X0) | relation('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k7_relat_1])).
% 24.10/8.91 cnf(c28, plain, ~relation(X0) | ~function(X0) | function('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [fc4_funct_1])).
% 24.10/8.91 cnf(c54, plain, ~relation(X0) | ~function(X0) | 'relation$udom'(X1) = 'set$uintersection2'('relation$udom'(X0),X2) | X1 != 'relation$udom$urestriction'(X0,X2) | ~relation(X1) | ~function(X1), inference(clausification, [status(esa)], [t68_funct_1])).
% 24.10/8.91 cnf(c61, plain, relation(sK52), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.10/8.91 cnf(c62, plain, function(sK52), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.10/8.91 cnf(c64, plain, in(sK51,'relation$udom'('relation$udom$urestriction'(sK52,sK50))) | in(sK51,'relation$udom'(sK52)), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.10/8.91 cnf(c65, plain, in(sK51,'relation$udom'('relation$udom$urestriction'(sK52,sK50))) | in(sK51,sK50), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.10/8.91 cnf(c66, plain, ~in(sK51,'relation$udom'(sK52)) | ~in(sK51,sK50) | ~in(sK51,'relation$udom'('relation$udom$urestriction'(sK52,sK50))), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.10/8.91 cnf(d0, plain, 'Ts7'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])).
% 24.10/8.91 cnf(d1, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X2,X1)), inference(resolution, [status(thm)], [d0,c10])).
% 24.10/8.91 cnf(d2, plain, 'relation$udom'('relation$udom$urestriction'(X0,X1)) = 'set$uintersection2'('relation$udom'(X0),X1) | ~function(X0) | ~function('relation$udom$urestriction'(X0,X1)) | ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)), inference(equality_resolution, [status(thm)], [c54])).
% 24.10/8.91 cnf(d3, plain, 'relation$udom'('relation$udom$urestriction'(X0,X1)) = 'set$uintersection2'('relation$udom'(X0),X1) | ~function(X0) | ~function('relation$udom$urestriction'(X0,X1)) | ~relation(X0) | ~relation(X0), inference(resolution, [status(thm)], [d2,c18])).
% 24.10/8.91 cnf(d4, plain, 'relation$udom'('relation$udom$urestriction'(X0,X1)) = 'set$uintersection2'('relation$udom'(X0),X1) | ~function(X0) | ~relation(X0) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d3,c28])).
% 24.10/8.91 cnf(d5, plain, 'relation$udom'('relation$udom$urestriction'(sK52,X0)) = 'set$uintersection2'('relation$udom'(sK52),X0) | ~function(sK52), inference(resolution, [status(thm)], [d4,c61])).
% 24.10/8.91 cnf(d6, plain, 'relation$udom'('relation$udom$urestriction'(sK52,X0)) = 'set$uintersection2'('relation$udom'(sK52),X0), inference(resolution, [status(thm)], [c62,d5])).
% 24.10/8.91 cnf(d7, plain, ~in(X1,'relation$udom'('relation$udom$urestriction'(sK52,X0))) | in(X1,X0), inference(superposition, [status(thm)], [d6,d1])).
% 24.10/8.91 cnf(d8, plain, in(sK51,sK50) | in(sK51,sK50), inference(resolution, [status(thm)], [d7,c65])).
% 24.10/8.91 cnf(d9, plain, ~in(sK51,'relation$udom'('relation$udom$urestriction'(sK52,sK50))) | ~in(sK51,'relation$udom'(sK52)), inference(resolution, [status(thm)], [d8,c66])).
% 24.10/8.91 cnf(d10, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X1,X2)), inference(resolution, [status(thm)], [d0,c9])).
% 24.10/8.91 cnf(d11, plain, ~in(X1,'relation$udom'('relation$udom$urestriction'(sK52,X0))) | in(X1,'relation$udom'(sK52)), inference(superposition, [status(thm)], [d6,d10])).
% 24.10/8.91 cnf(d12, plain, in(sK51,'relation$udom'(sK52)) | in(sK51,'relation$udom'(sK52)), inference(resolution, [status(thm)], [d11,c64])).
% 24.10/8.91 cnf(d13, plain, ~in(sK51,'relation$udom'('relation$udom$urestriction'(sK52,sK50))), inference(resolution, [status(thm)], [d12,d9])).
% 24.10/8.91 cnf(d14, plain, in(X0,'set$uintersection2'(X1,X2)) | ~in(X0,X2) | ~in(X0,X1), inference(resolution, [status(thm)], [d0,c11])).
% 24.10/8.91 cnf(d15, plain, in(X1,'relation$udom'('relation$udom$urestriction'(sK52,X0))) | ~in(X1,X0) | ~in(X1,'relation$udom'(sK52)), inference(superposition, [status(thm)], [d6,d14])).
% 24.10/8.91 cnf(d16, plain, ~in(sK51,sK50) | ~in(sK51,'relation$udom'(sK52)), inference(resolution, [status(thm)], [d15,d13])).
% 24.10/8.91 cnf(d17, plain, ~in(sK51,'relation$udom'(sK52)), inference(resolution, [status(thm)], [d8,d16])).
% 24.10/8.91 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d12,d17])).
% 24.10/8.91 % SZS output end CNFRefutation for theBenchmark.p
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