%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU017+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 08:40:45 AM UTC 2026
% Result : Theorem 68.25s 23.85s
% Output : CNFRefutation 68.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU017+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 : n018.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 08:33:12 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.25/23.85 % SZS status Theorem for theBenchmark.p
% 68.25/23.85 % SZS output start CNFRefutation for theBenchmark.p
% 68.25/23.85 fof(d5_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)))))))))).
% 68.25/23.85 fof(d8_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) <=> ! [X1] : ! [X2] : (((in(X1,'relation$udom'(X0)) & (in(X2,'relation$udom'(X0)) & apply(X0,X1) = apply(X0,X2))) => X1 = X2)))))).
% 68.25/23.85 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)))))))).
% 68.25/23.85 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 68.25/23.85 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))))))).
% 68.25/23.85 fof(t3_subset, axiom, ! [X0] : ! [X1] : ((element(X0,powerset(X1)) <=> subset(X0,X1)))).
% 68.25/23.85 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : (((in(X0,X1) & element(X1,powerset(X2))) => element(X0,X2)))).
% 68.25/23.85 fof(t7_boole, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & empty(X1)))).
% 68.25/23.85 fof(t50_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (('relation$udom'(X1) = X0 & ('relation$udom'(X2) = X0 & (subset('relation$urng'(X2),X0) & ('one$uto$uone'(X1) & 'relation$ucomposition'(X2,X1) = X1)))) => X2 = 'identity$urelation'(X0))))))).
% 68.25/23.85 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (('relation$udom'(X1) = X0 & ('relation$udom'(X2) = X0 & (subset('relation$urng'(X2),X0) & ('one$uto$uone'(X1) & 'relation$ucomposition'(X2,X1) = X1)))) => X2 = 'identity$urelation'(X0)))))), inference(negate_conjecture, [status(cth)], [t50_funct_1])).
% 68.25/23.85 cnf(c3, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$urng'(X0) | X2(X0,X1), inference(clausification, [status(esa)], [d5_funct_1])).
% 68.25/23.85 cnf(c7, plain, ~X0(X1,X2) | in(X3,X2) | ~in(X4,'relation$udom'(X1)) | X3 != apply(X1,X4), inference(clausification, [status(esa)], [d5_funct_1])).
% 68.25/23.85 cnf(c14, plain, ~relation(X0) | ~function(X0) | ~'one$uto$uone'(X0) | X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 68.25/23.85 cnf(c16, plain, ~in(X0,'relation$udom'(X1)) | ~X2(X1) | X3 = X0 | ~in(X3,'relation$udom'(X1)) | apply(X1,X3) != apply(X1,X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 68.25/23.85 cnf(c61, plain, ~function(X0) | ~relation(X0) | ~function(X1) | apply('relation$ucomposition'(X1,X0),X2) = apply(X0,apply(X1,X2)) | ~in(X2,'relation$udom'(X1)) | ~relation(X1), inference(clausification, [status(esa)], [t23_funct_1])).
% 68.25/23.85 cnf(c62, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 68.25/23.85 cnf(c65, plain, X0 = 'identity$urelation'(X1) | in(sK58(X1,X0),X1) | ~relation(X0) | ~function(X0) | 'relation$udom'(X0) != X1, inference(clausification, [status(esa)], [t34_funct_1])).
% 68.25/23.85 cnf(c66, plain, X0 = 'identity$urelation'(X1) | apply(X0,sK58(X1,X0)) != sK58(X1,X0) | ~relation(X0) | ~function(X0) | 'relation$udom'(X0) != X1, inference(clausification, [status(esa)], [t34_funct_1])).
% 68.25/23.85 cnf(c68, plain, element(X0,powerset(X1)) | ~subset(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 68.25/23.85 cnf(c69, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | element(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 68.25/23.85 cnf(c72, plain, ~in(X0,X1) | ~empty(X1), inference(clausification, [status(esa)], [t7_boole])).
% 68.25/23.85 cnf(c74, plain, relation(sK73), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c75, plain, function(sK73), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c76, plain, relation(sK74), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c77, plain, function(sK74), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c78, plain, 'relation$udom'(sK73) = sK72, inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c79, plain, 'relation$udom'(sK74) = sK72, inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c80, plain, subset('relation$urng'(sK74),sK72), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c81, plain, 'one$uto$uone'(sK73), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c82, plain, 'relation$ucomposition'(sK74,sK73) = sK73, inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(c83, plain, sK74 != 'identity$urelation'(sK72), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.25/23.85 cnf(d0, plain, ~function(X0) | ~relation(X0) | 'Ts4'(X0,'relation$urng'(X0)), inference(equality_resolution, [status(thm)], [c3])).
% 68.25/23.85 cnf(d1, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,'relation$udom'(sK74)) | ~function(sK73) | ~function(sK74) | ~relation(sK73) | ~relation(sK74), inference(superposition, [status(thm)], [c82,c61])).
% 68.25/23.85 cnf(d2, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,sK72) | ~function(sK73) | ~function(sK74) | ~relation(sK73) | ~relation(sK74), inference(demodulation, [status(thm)], [d1,c79])).
% 68.25/23.85 cnf(d3, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,sK72) | ~function(sK73) | ~function(sK74) | ~relation(sK74), inference(resolution, [status(thm)], [c74,d2])).
% 68.25/23.85 cnf(d4, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,sK72) | ~function(sK74) | ~relation(sK74), inference(resolution, [status(thm)], [c75,d3])).
% 68.25/23.85 cnf(d5, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,sK72) | ~function(sK74), inference(resolution, [status(thm)], [c76,d4])).
% 68.25/23.85 cnf(d6, plain, apply(sK73,X0) = apply(sK73,apply(sK74,X0)) | ~in(X0,sK72), inference(resolution, [status(thm)], [c77,d5])).
% 68.25/23.85 cnf(d7, plain, apply(sK73,X1) != apply(sK73,X0) | X1 = apply(sK74,X0) | ~in(apply(sK74,X0),'relation$udom'(sK73)) | ~in(X1,'relation$udom'(sK73)) | ~'Ts13'(sK73) | ~in(X0,sK72), inference(superposition, [status(thm)], [d6,c16])).
% 68.25/23.85 cnf(d8, plain, X0 = apply(sK74,X1) | apply(sK73,X0) != apply(sK73,X1) | ~in(X0,sK72) | ~in(X1,sK72) | ~in(apply(sK74,X1),'relation$udom'(sK73)) | ~'Ts13'(sK73), inference(demodulation, [status(thm)], [d7,c78])).
% 68.25/23.85 cnf(d9, plain, X0 = apply(sK74,X1) | apply(sK73,X0) != apply(sK73,X1) | ~in(X0,sK72) | ~in(X1,sK72) | ~in(apply(sK74,X1),sK72) | ~'Ts13'(sK73), inference(demodulation, [status(thm)], [d8,c78])).
% 68.25/23.85 cnf(d10, plain, ~function(sK73) | ~relation(sK73) | 'Ts13'(sK73), inference(resolution, [status(thm)], [c14,c81])).
% 68.25/23.85 cnf(d11, plain, ~function(sK73) | 'Ts13'(sK73), inference(resolution, [status(thm)], [c74,d10])).
% 68.25/23.85 cnf(d12, plain, 'Ts13'(sK73), inference(resolution, [status(thm)], [c75,d11])).
% 68.25/23.85 cnf(d13, plain, X0 = apply(sK74,X1) | apply(sK73,X0) != apply(sK73,X1) | ~in(X0,sK72) | ~in(X1,sK72) | ~in(apply(sK74,X1),sK72), inference(resolution, [status(thm)], [d12,d9])).
% 68.25/23.85 cnf(d14, plain, X0 = apply(sK74,X0) | ~in(X0,sK72) | ~in(X0,sK72) | ~in(apply(sK74,X0),sK72), inference(equality_resolution, [status(thm)], [d13])).
% 68.25/23.85 cnf(d15, plain, in(apply(X0,X1),X2) | ~in(X1,'relation$udom'(X0)) | ~'Ts4'(X0,X2), inference(equality_resolution, [status(thm)], [c7])).
% 68.25/23.85 cnf(d16, plain, ~in(X0,X1) | element(X0,X2) | ~subset(X1,X2), inference(resolution, [status(thm)], [c69,c68])).
% 68.25/23.85 cnf(d17, plain, ~in(X0,'relation$urng'(sK74)) | element(X0,sK72), inference(resolution, [status(thm)], [d16,c80])).
% 68.25/23.85 cnf(d18, plain, element(apply(X0,X1),sK72) | ~in(X1,'relation$udom'(X0)) | ~'Ts4'(X0,'relation$urng'(sK74)), inference(resolution, [status(thm)], [d17,d15])).
% 68.25/23.85 cnf(d19, plain, ~in(X0,'relation$udom'(X1)) | ~'Ts4'(X1,'relation$urng'(sK74)) | in(apply(X1,X0),sK72) | empty(sK72), inference(resolution, [status(thm)], [d18,c62])).
% 68.25/23.85 cnf(d20, plain, sK72 != X0 | sK74 = 'identity$urelation'(X0) | in(sK58(X0,sK74),X0) | ~function(sK74) | ~relation(sK74), inference(superposition, [status(thm)], [c79,c65])).
% 68.25/23.85 cnf(d21, plain, sK74 = 'identity$urelation'(X0) | sK72 != X0 | in(sK58(X0,sK74),X0) | ~function(sK74), inference(resolution, [status(thm)], [c76,d20])).
% 68.25/23.85 cnf(d22, plain, sK74 = 'identity$urelation'(X0) | sK72 != X0 | in(sK58(X0,sK74),X0), inference(resolution, [status(thm)], [c77,d21])).
% 68.25/23.85 cnf(d23, plain, sK74 = 'identity$urelation'(sK72) | in(sK58(sK72,sK74),sK72), inference(equality_resolution, [status(thm)], [d22])).
% 68.25/23.85 cnf(d24, plain, in(sK58(sK72,sK74),sK72), inference(resolution, [status(thm)], [c83,d23])).
% 68.25/23.85 cnf(d25, plain, ~empty(sK72), inference(resolution, [status(thm)], [d24,c72])).
% 68.25/23.85 cnf(d26, plain, ~in(X0,'relation$udom'(X1)) | in(apply(X1,X0),sK72) | ~'Ts4'(X1,'relation$urng'(sK74)), inference(resolution, [status(thm)], [d25,d19])).
% 68.25/23.85 cnf(d27, plain, ~in(X0,'relation$udom'(sK74)) | ~'Ts4'(sK74,'relation$urng'(sK74)) | X0 = apply(sK74,X0) | ~in(X0,sK72), inference(resolution, [status(thm)], [d26,d14])).
% 68.25/23.85 cnf(d28, plain, X0 = apply(sK74,X0) | ~in(X0,sK72) | ~in(X0,sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(demodulation, [status(thm)], [d27,c79])).
% 68.25/23.85 cnf(d29, plain, sK58(X0,sK74) != sK58(X0,sK74) | sK74 = 'identity$urelation'(X0) | 'relation$udom'(sK74) != X0 | ~function(sK74) | ~relation(sK74) | ~in(sK58(X0,sK74),sK72) | ~in(sK58(X0,sK74),sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(superposition, [status(thm)], [d28,c66])).
% 68.25/23.85 cnf(d30, plain, sK72 != X0 | sK58(X0,sK74) != sK58(X0,sK74) | sK74 = 'identity$urelation'(X0) | ~in(sK58(X0,sK74),sK72) | ~function(sK74) | ~relation(sK74) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(demodulation, [status(thm)], [d29,c79])).
% 68.25/23.85 cnf(d31, plain, sK72 != X0 | sK58(X0,sK74) != sK58(X0,sK74) | sK74 = 'identity$urelation'(X0) | ~in(sK58(X0,sK74),sK72) | ~function(sK74) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(resolution, [status(thm)], [c76,d30])).
% 68.25/23.85 cnf(d32, plain, sK58(X0,sK74) != sK58(X0,sK74) | sK74 = 'identity$urelation'(X0) | sK72 != X0 | ~in(sK58(X0,sK74),sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(resolution, [status(thm)], [c77,d31])).
% 68.25/23.85 cnf(d33, plain, sK74 = 'identity$urelation'(X0) | sK72 != X0 | ~in(sK58(X0,sK74),sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(equality_resolution, [status(thm)], [d32])).
% 68.25/23.85 cnf(d34, plain, sK74 = 'identity$urelation'(sK72) | ~in(sK58(sK72,sK74),sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(equality_resolution, [status(thm)], [d33])).
% 68.25/23.85 cnf(d35, plain, ~in(sK58(sK72,sK74),sK72) | ~'Ts4'(sK74,'relation$urng'(sK74)), inference(resolution, [status(thm)], [c83,d34])).
% 68.25/23.85 cnf(d36, plain, ~'Ts4'(sK74,'relation$urng'(sK74)), inference(resolution, [status(thm)], [d24,d35])).
% 68.25/23.85 cnf(d37, plain, ~function(sK74) | ~relation(sK74), inference(resolution, [status(thm)], [d36,d0])).
% 68.25/23.85 cnf(d38, plain, ~function(sK74), inference(resolution, [status(thm)], [c76,d37])).
% 68.25/23.85 cnf(d39, plain, $false, inference(resolution, [status(thm)], [c77,d38])).
% 68.25/23.85 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------