%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU039+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 : n007.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 08:40:47 AM UTC 2026
% Result : Theorem 12.24s 15.79s
% Output : CNFRefutation 12.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU039+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n007.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Sat Sep 26 08:29:59 UTC 2026
% 0.17/5.43 % CPUTime :
% 0.17/5.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.24/15.79 % SZS status Theorem for theBenchmark.p
% 12.24/15.79 % SZS output start CNFRefutation for theBenchmark.p
% 12.24/15.79 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 12.24/15.79 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 12.24/15.79 fof(d5_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)))))))))).
% 12.24/15.79 fof(dt_k7_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$udom$urestriction'(X0,X1))))).
% 12.24/15.79 fof(fc4_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X0) & function(X0)) => (relation('relation$udom$urestriction'(X0,X1)) & function('relation$udom$urestriction'(X0,X1)))))).
% 12.24/15.79 fof(t68_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (X1 = 'relation$udom$urestriction'(X2,X0) <=> ('relation$udom'(X1) = 'set$uintersection2'('relation$udom'(X2),X0) & ! [X3] : ((in(X3,'relation$udom'(X1)) => apply(X1,X3) = apply(X2,X3)))))))))).
% 12.24/15.79 fof(t72_funct_1, axiom, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,X0) => apply('relation$udom$urestriction'(X2,X0),X1) = apply(X2,X1))))).
% 12.24/15.79 fof(t73_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => ((in(X1,'relation$udom'(X2)) & in(X1,X0)) => in(apply(X2,X1),'relation$urng'('relation$udom$urestriction'(X2,X0))))))).
% 12.24/15.79 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => ((in(X1,'relation$udom'(X2)) & in(X1,X0)) => in(apply(X2,X1),'relation$urng'('relation$udom$urestriction'(X2,X0)))))), inference(negate_conjecture, [status(cth)], [t73_funct_1])).
% 12.24/15.79 cnf(c6, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 12.24/15.79 cnf(c9, plain, 'set$uintersection2'(X0,X1) != X2 | in(X3,X2) | ~in(X3,X1) | ~in(X3,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 12.24/15.79 cnf(c15, plain, ~function(X0) | ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d5_funct_1])).
% 12.24/15.79 cnf(c21, plain, ~in(X0,'relation$udom'(X1)) | ~X2(X1) | apply(X1,X0) != X3 | 'relation$urng'(X1) != X4 | in(X3,X4), inference(clausification, [status(esa)], [d5_funct_1])).
% 12.24/15.79 cnf(c24, plain, ~relation(X0) | relation('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k7_relat_1])).
% 12.24/15.79 cnf(c35, plain, ~function(X0) | ~relation(X0) | function('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [fc4_funct_1])).
% 12.24/15.79 cnf(c73, plain, ~relation(X0) | 'set$uintersection2'('relation$udom'(X1),X2) = 'relation$udom'(X0) | ~function(X1) | ~function(X0) | ~relation(X1) | 'relation$udom$urestriction'(X1,X2) != X0, inference(clausification, [status(esa)], [t68_funct_1])).
% 12.24/15.79 cnf(c78, plain, ~function(X0) | ~relation(X0) | apply(X0,X1) = apply('relation$udom$urestriction'(X0,X2),X1) | ~in(X1,X2), inference(clausification, [status(esa)], [t72_funct_1])).
% 12.24/15.79 cnf(c81, plain, function(sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.24/15.79 cnf(c82, plain, relation(sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.24/15.79 cnf(c83, plain, ~in(apply(sK82,sK81),'relation$urng'('relation$udom$urestriction'(sK82,sK80))), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.24/15.79 cnf(c84, plain, in(sK81,'relation$udom'(sK82)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.24/15.79 cnf(c85, plain, in(sK81,sK80), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.24/15.79 cnf(d0, plain, ~relation(X0) | ~function('relation$udom$urestriction'(X0,X1)) | 'Ts14'('relation$udom$urestriction'(X0,X1)), inference(resolution, [status(thm)], [c24,c15])).
% 12.24/15.79 cnf(d1, plain, ~relation(X0) | 'Ts14'('relation$udom$urestriction'(X0,X1)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d0,c35])).
% 12.24/15.79 cnf(d2, plain, in(X0,'set$uintersection2'(X1,X2)) | ~in(X0,X2) | ~in(X0,X1), inference(equality_resolution, [status(thm)], [c9])).
% 12.24/15.79 cnf(d3, plain, 'set$uintersection2'('relation$udom'(X0),X1) = 'relation$udom'('relation$udom$urestriction'(X0,X1)) | ~function('relation$udom$urestriction'(X0,X1)) | ~function(X0) | ~relation('relation$udom$urestriction'(X0,X1)) | ~relation(X0), inference(equality_resolution, [status(thm)], [c73])).
% 12.24/15.79 cnf(d4, plain, ~relation(X0) | 'set$uintersection2'('relation$udom'(X0),X1) = 'relation$udom'('relation$udom$urestriction'(X0,X1)) | ~function(X0) | ~function('relation$udom$urestriction'(X0,X1)) | ~relation(X0), inference(resolution, [status(thm)], [c24,d3])).
% 12.24/15.79 cnf(d5, plain, ~function(X0) | ~relation(X0) | 'set$uintersection2'('relation$udom'(X0),X1) = 'relation$udom'('relation$udom$urestriction'(X0,X1)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c35,d4])).
% 12.24/15.79 cnf(d6, plain, 'set$uintersection2'('relation$udom'(sK82),X0) = 'relation$udom'('relation$udom$urestriction'(sK82,X0)) | ~function(sK82), inference(resolution, [status(thm)], [d5,c82])).
% 12.24/15.79 cnf(d7, plain, 'set$uintersection2'('relation$udom'(sK82),X0) = 'relation$udom'('relation$udom$urestriction'(sK82,X0)), inference(resolution, [status(thm)], [c81,d6])).
% 12.24/15.79 cnf(d8, plain, 'relation$urng'(X0) != X1 | in(apply(X0,X2),X1) | ~in(X2,'relation$udom'(X0)) | ~'Ts14'(X0), inference(equality_resolution, [status(thm)], [c21])).
% 12.24/15.79 cnf(d9, plain, ~in(X0,'relation$udom'(X1)) | in(apply(X1,X0),'relation$urng'(X1)) | ~'Ts14'(X1), inference(equality_resolution, [status(thm)], [d8])).
% 12.24/15.79 cnf(d10, plain, apply(X0,sK81) = apply('relation$udom$urestriction'(X0,sK80),sK81) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c78,c85])).
% 12.24/15.79 cnf(d11, plain, apply(sK82,sK81) = apply('relation$udom$urestriction'(sK82,sK80),sK81) | ~function(sK82), inference(resolution, [status(thm)], [d10,c82])).
% 12.24/15.79 cnf(d12, plain, apply(sK82,sK81) = apply('relation$udom$urestriction'(sK82,sK80),sK81), inference(resolution, [status(thm)], [c81,d11])).
% 12.24/15.79 cnf(d13, plain, in(apply(sK82,sK81),'relation$urng'('relation$udom$urestriction'(sK82,sK80))) | ~in(sK81,'relation$udom'('relation$udom$urestriction'(sK82,sK80))) | ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(superposition, [status(thm)], [d12,d9])).
% 12.24/15.79 cnf(d14, plain, in(apply(sK82,sK81),'relation$urng'('relation$udom$urestriction'(sK82,sK80))) | ~in(sK81,'set$uintersection2'('relation$udom'(sK82),sK80)) | ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(demodulation, [status(thm)], [d13,d7])).
% 12.24/15.79 cnf(d15, plain, in(apply(sK82,sK81),'relation$urng'('relation$udom$urestriction'(sK82,sK80))) | ~in(sK81,'set$uintersection2'(sK80,'relation$udom'(sK82))) | ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(demodulation, [status(thm)], [d14,c6])).
% 12.24/15.79 cnf(d16, plain, ~in(sK81,'set$uintersection2'(sK80,'relation$udom'(sK82))) | ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(resolution, [status(thm)], [c83,d15])).
% 12.24/15.79 cnf(d17, plain, ~'Ts14'('relation$udom$urestriction'(sK82,sK80)) | ~in(sK81,'relation$udom'(sK82)) | ~in(sK81,sK80), inference(resolution, [status(thm)], [d16,d2])).
% 12.24/15.79 cnf(d18, plain, ~in(sK81,'relation$udom'(sK82)) | ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(resolution, [status(thm)], [c85,d17])).
% 12.24/15.79 cnf(d19, plain, ~'Ts14'('relation$udom$urestriction'(sK82,sK80)), inference(resolution, [status(thm)], [c84,d18])).
% 12.24/15.79 cnf(d20, plain, ~function(sK82) | ~relation(sK82), inference(resolution, [status(thm)], [d19,d1])).
% 12.24/15.79 cnf(d21, plain, ~relation(sK82), inference(resolution, [status(thm)], [c81,d20])).
% 12.24/15.79 cnf(d22, plain, $false, inference(resolution, [status(thm)], [c82,d21])).
% 12.24/15.79 % SZS output end CNFRefutation for theBenchmark.p
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