%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU008+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 : n014.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 08:40:44 AM UTC 2026
% Result : Theorem 30.83s 12.25s
% Output : CNFRefutation 30.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.39 % Computer : n014.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 08:30:37 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.83/12.25 % SZS status Theorem for theBenchmark.p
% 30.83/12.25 % SZS output start CNFRefutation for theBenchmark.p
% 30.83/12.25 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 30.83/12.25 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 30.83/12.25 fof(dt_k6_relat_1, axiom, ! [X0] : relation('identity$urelation'(X0))).
% 30.83/12.25 fof(fc2_funct_1, axiom, ! [X0] : ((relation('identity$urelation'(X0)) & function('identity$urelation'(X0))))).
% 30.83/12.25 fof(t23_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (in(X0,'relation$udom'(X1)) => apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)))))))).
% 30.83/12.25 fof(t34_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (X1 = 'identity$urelation'(X0) <=> ('relation$udom'(X1) = X0 & ! [X2] : ((in(X2,X0) => apply(X1,X2) = X2))))))).
% 30.83/12.25 fof(t38_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'set$uintersection2'('relation$udom'(X2),X0)) => apply(X2,X1) = apply('relation$ucomposition'('identity$urelation'(X0),X2),X1))))).
% 30.83/12.25 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'set$uintersection2'('relation$udom'(X2),X0)) => apply(X2,X1) = apply('relation$ucomposition'('identity$urelation'(X0),X2),X1)))), inference(negate_conjecture, [status(cth)], [t38_funct_1])).
% 30.83/12.25 cnf(c3, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 30.83/12.25 cnf(c4, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 30.83/12.25 cnf(c6, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 30.83/12.25 cnf(c16, plain, relation('identity$urelation'(X0)), inference(clausification, [status(esa)], [dt_k6_relat_1])).
% 30.83/12.25 cnf(c29, plain, function('identity$urelation'(X0)), inference(clausification, [status(esa)], [fc2_funct_1])).
% 30.83/12.25 cnf(c54, plain, ~function(X0) | ~relation(X0) | ~relation(X1) | apply('relation$ucomposition'(X0,X1),X2) = apply(X1,apply(X0,X2)) | ~in(X2,'relation$udom'(X0)) | ~function(X1), inference(clausification, [status(esa)], [t23_funct_1])).
% 30.83/12.25 cnf(c57, plain, ~relation(X0) | ~function(X0) | X0 != 'identity$urelation'(X1) | 'relation$udom'(X0) = X1, inference(clausification, [status(esa)], [t34_funct_1])).
% 30.83/12.25 cnf(c58, plain, apply(X0,X1) = X1 | ~function(X0) | X0 != 'identity$urelation'(X2) | ~relation(X0) | ~in(X1,X2), inference(clausification, [status(esa)], [t34_funct_1])).
% 30.83/12.25 cnf(c68, plain, relation(sK70), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.83/12.25 cnf(c69, plain, function(sK70), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.83/12.25 cnf(c70, plain, in(sK69,'set$uintersection2'('relation$udom'(sK70),sK68)), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.83/12.25 cnf(c71, plain, apply(sK70,sK69) != apply('relation$ucomposition'('identity$urelation'(sK68),sK70),sK69), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.83/12.25 cnf(d0, plain, 'relation$udom'('identity$urelation'(X0)) = X0 | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)), inference(equality_resolution, [status(thm)], [c57])).
% 30.83/12.25 cnf(d1, plain, 'relation$udom'('identity$urelation'(X0)) = X0 | ~function('identity$urelation'(X0)), inference(resolution, [status(thm)], [c16,d0])).
% 30.83/12.25 cnf(d2, plain, 'relation$udom'('identity$urelation'(X0)) = X0, inference(resolution, [status(thm)], [c29,d1])).
% 30.83/12.25 cnf(d3, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,'relation$udom'('identity$urelation'(sK68))) | ~function(sK70) | ~function('identity$urelation'(sK68)) | ~relation(sK70) | ~relation('identity$urelation'(sK68)), inference(superposition, [status(thm)], [c54,c71])).
% 30.83/12.25 cnf(d4, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,'relation$udom'('identity$urelation'(sK68))) | ~function('identity$urelation'(sK68)) | ~function(sK70) | ~relation('identity$urelation'(sK68)), inference(resolution, [status(thm)], [c68,d3])).
% 30.83/12.25 cnf(d5, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,'relation$udom'('identity$urelation'(sK68))) | ~function('identity$urelation'(sK68)) | ~relation('identity$urelation'(sK68)), inference(resolution, [status(thm)], [c69,d4])).
% 30.83/12.25 cnf(d6, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,'relation$udom'('identity$urelation'(sK68))) | ~function('identity$urelation'(sK68)), inference(resolution, [status(thm)], [c16,d5])).
% 30.83/12.25 cnf(d7, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,'relation$udom'('identity$urelation'(sK68))), inference(resolution, [status(thm)], [c29,d6])).
% 30.83/12.25 cnf(d8, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)) | ~in(sK69,sK68), inference(demodulation, [status(thm)], [d7,d2])).
% 30.83/12.25 cnf(d9, plain, in(sK69,'set$uintersection2'(sK68,'relation$udom'(sK70))), inference(demodulation, [status(thm)], [c70,c3])).
% 30.83/12.25 cnf(d10, plain, 'Ts6'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c4])).
% 30.83/12.25 cnf(d11, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X1,X2)), inference(resolution, [status(thm)], [d10,c6])).
% 30.83/12.25 cnf(d12, plain, in(sK69,sK68), inference(resolution, [status(thm)], [d11,d9])).
% 30.83/12.25 cnf(d13, plain, apply(sK70,sK69) != apply(sK70,apply('identity$urelation'(sK68),sK69)), inference(resolution, [status(thm)], [d12,d8])).
% 30.83/12.25 cnf(d14, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0) | ~function('identity$urelation'(X0)) | ~relation('identity$urelation'(X0)), inference(equality_resolution, [status(thm)], [c58])).
% 30.83/12.25 cnf(d15, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0) | ~function('identity$urelation'(X0)), inference(resolution, [status(thm)], [c16,d14])).
% 30.83/12.25 cnf(d16, plain, apply('identity$urelation'(X0),X1) = X1 | ~in(X1,X0), inference(resolution, [status(thm)], [c29,d15])).
% 30.83/12.25 cnf(d17, plain, apply(sK70,sK69) != apply(sK70,sK69) | ~in(sK69,sK68), inference(superposition, [status(thm)], [d16,d13])).
% 30.83/12.25 cnf(d18, plain, apply(sK70,sK69) != apply(sK70,sK69), inference(resolution, [status(thm)], [d12,d17])).
% 30.83/12.25 cnf(d19, plain, $false, inference(equality_resolution, [status(thm)], [d18])).
% 30.83/12.25 % SZS output end CNFRefutation for theBenchmark.p
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