%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU044+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 : n018.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 08:40:48 AM UTC 2026
% Result : Theorem 15.55s 8.94s
% Output : CNFRefutation 15.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU044+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n018.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Sat Sep 26 08:34:43 UTC 2026
% 0.19/5.45 % CPUTime :
% 0.19/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.55/8.94 % SZS status Theorem for theBenchmark.p
% 15.55/8.94 % SZS output start CNFRefutation for theBenchmark.p
% 15.55/8.94 fof(dt_k8_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X1) => relation('relation$urng$urestriction'(X0,X1))))).
% 15.55/8.94 fof(fc5_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (relation('relation$urng$urestriction'(X0,X1)) & function('relation$urng$urestriction'(X0,X1)))))).
% 15.55/8.94 fof(t85_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (X1 = 'relation$urng$urestriction'(X0,X2) <=> (! [X3] : ((in(X3,'relation$udom'(X1)) <=> (in(X3,'relation$udom'(X2)) & in(apply(X2,X3),X0)))) & ! [X3] : ((in(X3,'relation$udom'(X1)) => apply(X1,X3) = apply(X2,X3)))))))))).
% 15.55/8.94 fof(t86_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$urng$urestriction'(X0,X2))) <=> (in(X1,'relation$udom'(X2)) & in(apply(X2,X1),X0)))))).
% 15.55/8.94 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$urng$urestriction'(X0,X2))) <=> (in(X1,'relation$udom'(X2)) & in(apply(X2,X1),X0))))), inference(negate_conjecture, [status(cth)], [t86_funct_1])).
% 15.55/8.94 cnf(c25, plain, ~relation(X0) | relation('relation$urng$urestriction'(X1,X0)), inference(clausification, [status(esa)], [dt_k8_relat_1])).
% 15.55/8.94 cnf(c27, plain, ~relation(X0) | ~function(X0) | function('relation$urng$urestriction'(X1,X0)), inference(clausification, [status(esa)], [fc5_funct_1])).
% 15.55/8.94 cnf(c50, plain, X0 != 'relation$urng$urestriction'(X1,X2) | ~function(X2) | ~function(X0) | X3(X1,X0,X2) | ~relation(X2) | ~relation(X0), inference(clausification, [status(esa)], [t85_funct_1])).
% 15.55/8.94 cnf(c54, plain, ~X0(X1,X2,X3) | ~in(X4,'relation$udom'(X2)) | in(X4,'relation$udom'(X3)), inference(clausification, [status(esa)], [t85_funct_1])).
% 15.55/8.94 cnf(c55, plain, ~X0(X1,X2,X3) | ~in(X4,'relation$udom'(X2)) | in(apply(X3,X4),X1), inference(clausification, [status(esa)], [t85_funct_1])).
% 15.55/8.94 cnf(c56, plain, ~X0(X1,X2,X3) | in(X4,'relation$udom'(X2)) | ~in(X4,'relation$udom'(X3)) | ~in(apply(X3,X4),X1), inference(clausification, [status(esa)], [t85_funct_1])).
% 15.55/8.94 cnf(c63, plain, relation(sK55), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.55/8.94 cnf(c64, plain, function(sK55), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.55/8.94 cnf(c66, plain, in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))) | in(sK54,'relation$udom'(sK55)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.55/8.94 cnf(c67, plain, in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))) | in(apply(sK55,sK54),sK53), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.55/8.94 cnf(c68, plain, ~in(sK54,'relation$udom'(sK55)) | ~in(apply(sK55,sK54),sK53) | ~in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.55/8.94 cnf(d0, plain, ~relation(X0) | ~relation('relation$urng$urestriction'(X1,X0)) | ~function(X0) | ~function('relation$urng$urestriction'(X1,X0)) | 'Ts45'(X1,'relation$urng$urestriction'(X1,X0),X0), inference(equality_resolution, [status(thm)], [c50])).
% 15.55/8.94 cnf(d1, plain, ~relation(X0) | ~relation('relation$urng$urestriction'(X1,X0)) | ~function(X0) | ~function('relation$urng$urestriction'(X1,X0)) | ~in(X2,'relation$udom'('relation$urng$urestriction'(X1,X0))) | in(apply(X0,X2),X1), inference(resolution, [status(thm)], [d0,c55])).
% 15.55/8.94 cnf(d2, plain, ~relation(sK55) | ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(apply(sK55,sK54),sK53) | in(apply(sK55,sK54),sK53), inference(resolution, [status(thm)], [d1,c67])).
% 15.55/8.94 cnf(d3, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | in(apply(sK55,sK54),sK53), inference(resolution, [status(thm)], [c63,d2])).
% 15.55/8.94 cnf(d4, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(apply(sK55,sK54),sK53), inference(resolution, [status(thm)], [c64,d3])).
% 15.55/8.94 cnf(d5, plain, ~relation(X0) | ~relation('relation$urng$urestriction'(X1,X0)) | ~function(X0) | ~function('relation$urng$urestriction'(X1,X0)) | in(X2,'relation$udom'(X0)) | ~in(X2,'relation$udom'('relation$urng$urestriction'(X1,X0))), inference(resolution, [status(thm)], [d0,c54])).
% 15.55/8.94 cnf(d6, plain, ~relation(sK55) | ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(sK55)) | in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [d5,c66])).
% 15.55/8.94 cnf(d7, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [c63,d6])).
% 15.55/8.94 cnf(d8, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [c64,d7])).
% 15.55/8.94 cnf(d9, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(sK55)) | ~relation(sK55) | ~function(sK55), inference(resolution, [status(thm)], [d8,c27])).
% 15.55/8.94 cnf(d10, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [c63,d9])).
% 15.55/8.94 cnf(d11, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [c64,d10])).
% 15.55/8.94 cnf(d12, plain, in(sK54,'relation$udom'(sK55)) | ~relation(sK55), inference(resolution, [status(thm)], [d11,c25])).
% 15.55/8.94 cnf(d13, plain, in(sK54,'relation$udom'(sK55)), inference(resolution, [status(thm)], [c63,d12])).
% 15.55/8.94 cnf(d14, plain, ~in(apply(sK55,sK54),sK53) | ~in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))), inference(resolution, [status(thm)], [d13,c68])).
% 15.55/8.94 cnf(d15, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(X0)) | ~in(sK54,'relation$udom'(sK55)) | ~'Ts45'(sK53,X0,sK55), inference(resolution, [status(thm)], [d4,c56])).
% 15.55/8.94 cnf(d16, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'(X0)) | ~'Ts45'(sK53,X0,sK55), inference(resolution, [status(thm)], [d13,d15])).
% 15.55/8.94 cnf(d17, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))) | ~relation(sK55) | ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | ~function('relation$urng$urestriction'(sK53,sK55)), inference(resolution, [status(thm)], [d16,d0])).
% 15.55/8.94 cnf(d18, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55) | in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))), inference(resolution, [status(thm)], [c63,d17])).
% 15.55/8.94 cnf(d19, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | in(sK54,'relation$udom'('relation$urng$urestriction'(sK53,sK55))), inference(resolution, [status(thm)], [c64,d18])).
% 15.55/8.94 cnf(d20, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | ~in(apply(sK55,sK54),sK53), inference(resolution, [status(thm)], [d19,d14])).
% 15.55/8.94 cnf(d21, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)) | ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function('relation$urng$urestriction'(sK53,sK55)), inference(resolution, [status(thm)], [d20,d4])).
% 15.55/8.94 cnf(d22, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~relation(sK55) | ~function(sK55), inference(resolution, [status(thm)], [d21,c27])).
% 15.55/8.94 cnf(d23, plain, ~relation('relation$urng$urestriction'(sK53,sK55)) | ~function(sK55), inference(resolution, [status(thm)], [c63,d22])).
% 15.55/8.94 cnf(d24, plain, ~relation('relation$urng$urestriction'(sK53,sK55)), inference(resolution, [status(thm)], [c64,d23])).
% 15.55/8.94 cnf(d25, plain, ~relation(sK55), inference(resolution, [status(thm)], [d24,c25])).
% 15.55/8.94 cnf(d26, plain, $false, inference(resolution, [status(thm)], [c63,d25])).
% 15.55/8.94 % SZS output end CNFRefutation for theBenchmark.p
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