%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU209+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 : n016.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 08:41:16 AM UTC 2026
% Result : Theorem 24.21s 12.14s
% Output : CNFRefutation 24.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU209+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
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 08:55:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.21/12.14 % SZS status Theorem for theBenchmark.p
% 24.21/12.14 % SZS output start CNFRefutation for theBenchmark.p
% 24.21/12.14 fof(d14_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ! [X2] : ((X2 = 'relation$uinverse$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ((in('ordered$upair'(X3,X4),X0) & in(X4,X1)))))))))).
% 24.21/12.14 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 24.21/12.14 fof(d4_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((X1 = 'relation$udom'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : in('ordered$upair'(X2,X3),X0)))))))).
% 24.21/12.14 fof(t167_relat_1, conjecture, ! [X0] : ! [X1] : ((relation(X1) => subset('relation$uinverse$uimage'(X1,X0),'relation$udom'(X1))))).
% 24.21/12.14 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((relation(X1) => subset('relation$uinverse$uimage'(X1,X0),'relation$udom'(X1)))), inference(negate_conjecture, [status(cth)], [t167_relat_1])).
% 24.21/12.14 cnf(c3, plain, ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d14_relat_1])).
% 24.21/12.14 cnf(c7, plain, ~X0(X1) | 'relation$uinverse$uimage'(X1,X2) != X3 | ~in(X4,X3) | in('ordered$upair'(X4,sK12(X1,X2,X4)),X1), inference(clausification, [status(esa)], [d14_relat_1])).
% 24.21/12.14 cnf(c13, plain, subset(X0,X1) | in(sK19(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 24.21/12.14 cnf(c14, plain, subset(X0,X1) | ~in(sK19(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 24.21/12.14 cnf(c15, plain, ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d4_relat_1])).
% 24.21/12.14 cnf(c17, plain, ~X0(X1) | 'relation$udom'(X1) != X2 | in(X3,X2) | ~in('ordered$upair'(X3,X4),X1), inference(clausification, [status(esa)], [d4_relat_1])).
% 24.21/12.14 cnf(c54, plain, relation(sK69), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.21/12.14 cnf(c55, plain, ~subset('relation$uinverse$uimage'(sK69,sK68),'relation$udom'(sK69)), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.21/12.14 cnf(d0, plain, in(X0,'relation$udom'(X1)) | ~in('ordered$upair'(X0,X2),X1) | ~'Ts20'(X1), inference(equality_resolution, [status(thm)], [c17])).
% 24.21/12.14 cnf(d1, plain, 'Ts6'(sK69), inference(resolution, [status(thm)], [c3,c54])).
% 24.21/12.14 cnf(d2, plain, ~in(X0,'relation$uinverse$uimage'(X1,X2)) | in('ordered$upair'(X0,sK12(X1,X2,X0)),X1) | ~'Ts6'(X1), inference(equality_resolution, [status(thm)], [c7])).
% 24.21/12.14 cnf(d3, plain, in('ordered$upair'(sK19('relation$uinverse$uimage'(X0,X1),X2),sK12(X0,X1,sK19('relation$uinverse$uimage'(X0,X1),X2))),X0) | ~'Ts6'(X0) | subset('relation$uinverse$uimage'(X0,X1),X2), inference(resolution, [status(thm)], [d2,c13])).
% 24.21/12.14 cnf(d4, plain, in('ordered$upair'(sK19('relation$uinverse$uimage'(sK69,X0),X1),sK12(sK69,X0,sK19('relation$uinverse$uimage'(sK69,X0),X1))),sK69) | subset('relation$uinverse$uimage'(sK69,X0),X1), inference(resolution, [status(thm)], [d3,d1])).
% 24.21/12.14 cnf(d5, plain, subset('relation$uinverse$uimage'(sK69,X0),X1) | in(sK19('relation$uinverse$uimage'(sK69,X0),X1),'relation$udom'(sK69)) | ~'Ts20'(sK69), inference(resolution, [status(thm)], [d4,d0])).
% 24.21/12.14 cnf(d6, plain, 'Ts20'(sK69), inference(resolution, [status(thm)], [c15,c54])).
% 24.21/12.14 cnf(d7, plain, in(sK19('relation$uinverse$uimage'(sK69,X0),X1),'relation$udom'(sK69)) | subset('relation$uinverse$uimage'(sK69,X0),X1), inference(resolution, [status(thm)], [d6,d5])).
% 24.21/12.14 cnf(d8, plain, subset('relation$uinverse$uimage'(sK69,X0),'relation$udom'(sK69)) | subset('relation$uinverse$uimage'(sK69,X0),'relation$udom'(sK69)), inference(resolution, [status(thm)], [d7,c14])).
% 24.21/12.14 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,c55])).
% 24.21/12.14 % SZS output end CNFRefutation for theBenchmark.p
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