%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU210+2 : 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 : n003.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 39.25s 24.68s
% Output : CNFRefutation 39.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.38 % Computer : n003.cluster.edu
% 0.06/0.38 % Model : x86_64 x86_64
% 0.06/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.38 % Memory : 8046.5625MB
% 0.06/0.38 % OS : Linux 6.8.0-71-generic
% 0.06/0.38 % CPULimit : 300
% 0.06/0.38 % WCLimit : 300
% 0.06/0.38 % DateTime : Sat Sep 26 08:52:24 UTC 2026
% 0.06/0.39 % CPUTime :
% 0.06/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.25/24.68 % SZS status Theorem for theBenchmark.p
% 39.25/24.68 % SZS output start CNFRefutation for theBenchmark.p
% 39.25/24.68 fof(d14_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ! [X2] : ((X2 = 'relation$uinverse$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ((in('ordered$upair'(X3,X4),X0) & in(X4,X1)))))))))).
% 39.25/24.68 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))).
% 39.25/24.68 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 39.25/24.68 fof(t143_relat_1, lemma, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$uimage'(X2,X1)) <=> ? [X3] : ((in(X3,'relation$udom'(X2)) & (in('ordered$upair'(X3,X0),X2) & in(X3,X1)))))))).
% 39.25/24.68 fof(t146_relat_1, lemma, ! [X0] : ((relation(X0) => 'relation$uimage'(X0,'relation$udom'(X0)) = 'relation$urng'(X0)))).
% 39.25/24.68 fof(t174_relat_1, conjecture, ! [X0] : ! [X1] : ((relation(X1) => ~((X0 != 'empty$uset' & (subset(X0,'relation$urng'(X1)) & 'relation$uinverse$uimage'(X1,X0) = 'empty$uset')))))).
% 39.25/24.68 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((relation(X1) => ~((X0 != 'empty$uset' & (subset(X0,'relation$urng'(X1)) & 'relation$uinverse$uimage'(X1,X0) = 'empty$uset'))))), inference(negate_conjecture, [status(cth)], [t174_relat_1])).
% 39.25/24.68 cnf(c45, plain, ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d14_relat_1])).
% 39.25/24.68 cnf(c51, plain, ~in('ordered$upair'(X0,X1),X2) | ~in(X1,X3) | 'relation$uinverse$uimage'(X2,X3) != X4 | in(X0,X4) | ~X5(X2), inference(clausification, [status(esa)], [d14_relat_1])).
% 39.25/24.68 cnf(c74, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])).
% 39.25/24.68 cnf(c75, plain, X0 = 'empty$uset' | in(sK84(X0),X0), inference(clausification, [status(esa)], [d1_xboole_0])).
% 39.25/24.68 cnf(c122, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 39.25/24.68 cnf(c292, plain, ~relation(X0) | ~in(X1,'relation$uimage'(X0,X2)) | in('ordered$upair'(sK353(X1,X2,X0),X1),X0), inference(clausification, [status(esa)], [t143_relat_1])).
% 39.25/24.68 cnf(c296, plain, ~relation(X0) | 'relation$urng'(X0) = 'relation$uimage'(X0,'relation$udom'(X0)), inference(clausification, [status(esa)], [t146_relat_1])).
% 39.25/24.68 cnf(c410, plain, relation(sK533), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.25/24.68 cnf(c411, plain, subset(sK532,'relation$urng'(sK533)), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.25/24.68 cnf(c412, plain, 'relation$uinverse$uimage'(sK533,sK532) = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 39.25/24.68 cnf(c413, plain, sK532 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 39.25/24.68 cnf(d0, plain, in(X0,'relation$urng'(sK533)) | ~in(X0,sK532), inference(resolution, [status(thm)], [c122,c411])).
% 39.25/24.68 cnf(d1, plain, 'empty$uset' != X0 | ~in(X1,sK532) | in(X2,X0) | ~in('ordered$upair'(X2,X1),sK533) | ~'Ts51'(sK533), inference(superposition, [status(thm)], [c412,c51])).
% 39.25/24.68 cnf(d2, plain, 'Ts51'(sK533), inference(resolution, [status(thm)], [c45,c410])).
% 39.25/24.68 cnf(d3, plain, 'empty$uset' != X0 | in(X1,X0) | ~in(X2,sK532) | ~in('ordered$upair'(X1,X2),sK533), inference(resolution, [status(thm)], [d2,d1])).
% 39.25/24.68 cnf(d4, plain, ~in(X0,sK532) | in(X1,'empty$uset') | ~in('ordered$upair'(X1,X0),sK533), inference(equality_resolution, [status(thm)], [d3])).
% 39.25/24.68 cnf(d5, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c74])).
% 39.25/24.68 cnf(d6, plain, ~in(X0,sK532) | ~in('ordered$upair'(X1,X0),sK533), inference(resolution, [status(thm)], [d5,d4])).
% 39.25/24.68 cnf(d7, plain, ~in(X0,'relation$uimage'(sK533,X1)) | ~relation(sK533) | ~in(X0,sK532), inference(resolution, [status(thm)], [c292,d6])).
% 39.25/24.68 cnf(d8, plain, ~in(X0,'relation$uimage'(sK533,X1)) | ~in(X0,sK532), inference(resolution, [status(thm)], [c410,d7])).
% 39.25/24.68 cnf(d9, plain, 'relation$urng'(sK533) = 'relation$uimage'(sK533,'relation$udom'(sK533)), inference(resolution, [status(thm)], [c296,c410])).
% 39.25/24.68 cnf(d10, plain, ~in(X0,'relation$urng'(sK533)) | ~in(X0,sK532), inference(superposition, [status(thm)], [d9,d8])).
% 39.25/24.68 cnf(d11, plain, ~in(X0,sK532) | ~in(X0,sK532), inference(resolution, [status(thm)], [d10,d0])).
% 39.25/24.68 cnf(d12, plain, sK532 = 'empty$uset', inference(resolution, [status(thm)], [d11,c75])).
% 39.25/24.68 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c413,d12])).
% 39.25/24.68 % SZS output end CNFRefutation for theBenchmark.p
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