%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU208+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12.55s 7.56s
% Output : CNFRefutation 12.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU208+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n011.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sat Sep 26 08:50:03 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.55/7.56 % SZS status Theorem for theBenchmark.p
% 12.55/7.56 % SZS output start CNFRefutation for theBenchmark.p
% 12.55/7.56 fof(d14_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ! [X2] : ((X2 = 'relation$uinverse$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ((in('ordered$upair'(X3,X4),X0) & in(X4,X1)))))))))).
% 12.55/7.56 fof(d5_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : in('ordered$upair'(X3,X2),X0)))))))).
% 12.55/7.56 fof(t166_relat_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$uinverse$uimage'(X2,X1)) <=> ? [X3] : ((in(X3,'relation$urng'(X2)) & (in('ordered$upair'(X0,X3),X2) & in(X3,X1)))))))).
% 12.55/7.56 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$uinverse$uimage'(X2,X1)) <=> ? [X3] : ((in(X3,'relation$urng'(X2)) & (in('ordered$upair'(X0,X3),X2) & in(X3,X1))))))), inference(negate_conjecture, [status(cth)], [t166_relat_1])).
% 12.55/7.56 cnf(c3, plain, ~relation(X0) | X1 != 'relation$uinverse$uimage'(X0,X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [d14_relat_1])).
% 12.55/7.56 cnf(c5, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in('ordered$upair'(X4,sK10(X1,X2,X4)),X1), inference(clausification, [status(esa)], [d14_relat_1])).
% 12.55/7.56 cnf(c6, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(sK10(X1,X2,X4),X2), inference(clausification, [status(esa)], [d14_relat_1])).
% 12.55/7.56 cnf(c7, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in('ordered$upair'(X4,X5),X1) | ~in(X5,X2), inference(clausification, [status(esa)], [d14_relat_1])).
% 12.55/7.56 cnf(c15, plain, ~relation(X0) | X1 != 'relation$urng'(X0) | in(X2,X1) | ~in('ordered$upair'(X3,X2),X0), inference(clausification, [status(esa)], [d5_relat_1])).
% 12.55/7.56 cnf(c42, plain, relation(sK49), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/7.56 cnf(c45, plain, in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | in('ordered$upair'(sK47,sK51),sK49), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/7.56 cnf(c46, plain, in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | in(sK51,sK48), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/7.56 cnf(c47, plain, ~in(X0,'relation$urng'(sK49)) | ~in('ordered$upair'(sK47,X0),sK49) | ~in(X0,sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/7.56 cnf(c50, plain, ~in(X0,'relation$urng'(sK49)) | ~in('ordered$upair'(sK47,X0),sK49) | ~in(X0,sK48) | in(sK51,sK48), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.55/7.56 cnf(d0, plain, ~relation(X0) | 'Ts5'(X0,X1,'relation$uinverse$uimage'(X0,X1)), inference(equality_resolution, [status(thm)], [c3])).
% 12.55/7.56 cnf(d1, plain, ~relation(X0) | ~in(X1,'relation$uinverse$uimage'(X0,X2)) | in(sK10(X0,X2,X1),X2), inference(resolution, [status(thm)], [d0,c6])).
% 12.55/7.56 cnf(d2, plain, ~relation(X0) | ~in(X1,'relation$uinverse$uimage'(X0,X2)) | in('ordered$upair'(X1,sK10(X0,X2,X1)),X0), inference(resolution, [status(thm)], [d0,c5])).
% 12.55/7.56 cnf(d3, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~relation(sK49) | ~in(sK10(sK49,X0,sK47),'relation$urng'(sK49)) | ~in(sK10(sK49,X0,sK47),sK48) | in(sK51,sK48), inference(resolution, [status(thm)], [d2,c50])).
% 12.55/7.56 cnf(d4, plain, ~in(sK10(sK49,X0,sK47),'relation$urng'(sK49)) | ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | in(sK51,sK48), inference(resolution, [status(thm)], [c42,d3])).
% 12.55/7.56 cnf(d5, plain, in(X0,'relation$urng'(X1)) | ~in('ordered$upair'(X2,X0),X1) | ~relation(X1), inference(equality_resolution, [status(thm)], [c15])).
% 12.55/7.56 cnf(d6, plain, ~in(X0,'relation$uinverse$uimage'(X1,X2)) | ~relation(X1) | in(sK10(X1,X2,X0),'relation$urng'(X1)) | ~relation(X1), inference(resolution, [status(thm)], [d2,d5])).
% 12.55/7.56 cnf(d7, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~relation(sK49) | ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | in(sK51,sK48), inference(resolution, [status(thm)], [d6,d4])).
% 12.55/7.56 cnf(d8, plain, ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | in(sK51,sK48), inference(resolution, [status(thm)], [c42,d7])).
% 12.55/7.56 cnf(d9, plain, ~in(sK51,X0) | in(sK47,X1) | ~'Ts5'(sK49,X0,X1) | in(sK47,'relation$uinverse$uimage'(sK49,sK48)), inference(resolution, [status(thm)], [c7,c45])).
% 12.55/7.56 cnf(d10, plain, ~relation(sK49) | in(sK47,'relation$uinverse$uimage'(sK49,X0)) | in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK51,X0), inference(resolution, [status(thm)], [d0,d9])).
% 12.55/7.56 cnf(d11, plain, in(sK47,'relation$uinverse$uimage'(sK49,X0)) | in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK51,X0), inference(resolution, [status(thm)], [c42,d10])).
% 12.55/7.56 cnf(d12, plain, in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK51,sK48), inference(factoring, [status(thm)], [d11])).
% 12.55/7.56 cnf(d13, plain, ~in(sK51,sK48) | ~in(X0,'relation$urng'(sK49)) | ~in(X0,sK48) | ~in('ordered$upair'(sK47,X0),sK49), inference(resolution, [status(thm)], [d12,c47])).
% 12.55/7.56 cnf(d14, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~relation(sK49) | ~in(sK10(sK49,X0,sK47),'relation$urng'(sK49)) | ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK51,sK48), inference(resolution, [status(thm)], [d2,d13])).
% 12.55/7.56 cnf(d15, plain, ~in(sK10(sK49,X0,sK47),'relation$urng'(sK49)) | ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~in(sK51,sK48), inference(resolution, [status(thm)], [c42,d14])).
% 12.55/7.56 cnf(d16, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~relation(sK49) | ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~in(sK51,sK48), inference(resolution, [status(thm)], [d6,d15])).
% 12.55/7.56 cnf(d17, plain, ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)) | ~in(sK51,sK48), inference(resolution, [status(thm)], [c42,d16])).
% 12.55/7.56 cnf(d18, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK51,sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~relation(sK49), inference(resolution, [status(thm)], [d17,d1])).
% 12.55/7.56 cnf(d19, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK51,sK48), inference(resolution, [status(thm)], [c42,d18])).
% 12.55/7.56 cnf(d20, plain, ~in(sK51,sK48) | ~in(sK51,sK48), inference(resolution, [status(thm)], [d19,d12])).
% 12.55/7.56 cnf(d21, plain, ~in(sK10(sK49,X0,sK47),sK48) | ~in(sK47,'relation$uinverse$uimage'(sK49,X0)), inference(resolution, [status(thm)], [d20,d8])).
% 12.55/7.56 cnf(d22, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)) | ~relation(sK49), inference(resolution, [status(thm)], [d21,d1])).
% 12.55/7.56 cnf(d23, plain, ~in(sK47,'relation$uinverse$uimage'(sK49,sK48)), inference(resolution, [status(thm)], [c42,d22])).
% 12.55/7.56 cnf(d24, plain, in(sK47,'relation$uinverse$uimage'(sK49,sK48)), inference(resolution, [status(thm)], [d20,c46])).
% 12.55/7.56 cnf(d25, plain, $false, inference(resolution, [status(thm)], [d24,d23])).
% 12.55/7.56 % SZS output end CNFRefutation for theBenchmark.p
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