%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU048+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 : n015.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 08:40:48 AM UTC 2026
% Result : Theorem 30.40s 8.16s
% Output : CNFRefutation 30.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU048+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
% 0.10/0.37 % Computer : n015.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 08:35:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.40/8.16 % SZS status Theorem for theBenchmark.p
% 30.40/8.16 % SZS output start CNFRefutation for theBenchmark.p
% 30.40/8.16 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)))))).
% 30.40/8.16 fof(dt_k8_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X1) => relation('relation$urng$urestriction'(X0,X1))))).
% 30.40/8.16 fof(fc5_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (relation('relation$urng$urestriction'(X0,X1)) & function('relation$urng$urestriction'(X0,X1)))))).
% 30.40/8.16 fof(t85_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (X1 = 'relation$urng$urestriction'(X0,X2) <=> (! [X3] : ((in(X3,'relation$udom'(X1)) <=> (in(X3,'relation$udom'(X2)) & in(apply(X2,X3),X0)))) & ! [X3] : ((in(X3,'relation$udom'(X1)) => apply(X1,X3) = apply(X2,X3)))))))))).
% 30.40/8.16 fof(t99_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ('one$uto$uone'(X1) => 'one$uto$uone'('relation$urng$urestriction'(X0,X1)))))).
% 30.40/8.16 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ('one$uto$uone'(X1) => 'one$uto$uone'('relation$urng$urestriction'(X0,X1))))), inference(negate_conjecture, [status(cth)], [t99_funct_1])).
% 30.40/8.16 cnf(c6, plain, ~function(X0) | ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c7, plain, ~'one$uto$uone'(X0) | ~in(X1,'relation$udom'(X0)) | ~X2(X0) | X3 = X1 | apply(X0,X3) != apply(X0,X1) | ~in(X3,'relation$udom'(X0)), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c8, plain, ~X0(X1) | 'one$uto$uone'(X1) | in(sK10(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c9, plain, ~X0(X1) | 'one$uto$uone'(X1) | apply(X1,sK10(X1)) = apply(X1,sK9(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c10, plain, ~X0(X1) | 'one$uto$uone'(X1) | in(sK9(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c11, plain, ~X0(X1) | 'one$uto$uone'(X1) | sK10(X1) != sK9(X1), inference(clausification, [status(esa)], [d8_funct_1])).
% 30.40/8.16 cnf(c12, plain, ~relation(X0) | relation('relation$urng$urestriction'(X1,X0)), inference(clausification, [status(esa)], [dt_k8_relat_1])).
% 30.40/8.16 cnf(c22, plain, ~function(X0) | ~relation(X0) | function('relation$urng$urestriction'(X1,X0)), inference(clausification, [status(esa)], [fc5_funct_1])).
% 30.40/8.16 cnf(c55, plain, X0(X1,X2,X3) | ~function(X2) | ~relation(X2) | ~function(X3) | ~relation(X3), inference(clausification, [status(esa)], [t85_funct_1])).
% 30.40/8.16 cnf(c59, plain, ~X0(X1,X2,X3) | 'relation$urng$urestriction'(X1,X3) != X2 | ~in(X4,'relation$udom'(X2)) | in(X4,'relation$udom'(X3)), inference(clausification, [status(esa)], [t85_funct_1])).
% 30.40/8.16 cnf(c62, plain, ~X0(X1,X2,X3) | 'relation$urng$urestriction'(X1,X3) != X2 | ~in(X4,'relation$udom'(X2)) | apply(X3,X4) = apply(X2,X4), inference(clausification, [status(esa)], [t85_funct_1])).
% 30.40/8.16 cnf(c68, plain, function(sK61), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.40/8.16 cnf(c69, plain, relation(sK61), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.40/8.16 cnf(c70, plain, ~'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.40/8.16 cnf(c71, plain, 'one$uto$uone'(sK61), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.40/8.16 cnf(d0, plain, ~relation(X0) | ~function('relation$urng$urestriction'(X1,X0)) | 'Ts5'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [c12,c6])).
% 30.40/8.16 cnf(d1, plain, ~relation(X0) | 'Ts5'('relation$urng$urestriction'(X1,X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d0,c22])).
% 30.40/8.16 cnf(d2, plain, in(X0,'relation$udom'(X1)) | ~in(X0,'relation$udom'('relation$urng$urestriction'(X2,X1))) | ~'Ts50'(X2,'relation$urng$urestriction'(X2,X1),X1), inference(equality_resolution, [status(thm)], [c59])).
% 30.40/8.16 cnf(d3, plain, in(X0,'relation$udom'(X1)) | ~in(X0,'relation$udom'('relation$urng$urestriction'(X2,X1))) | ~function('relation$urng$urestriction'(X2,X1)) | ~function(X1) | ~relation('relation$urng$urestriction'(X2,X1)) | ~relation(X1), inference(resolution, [status(thm)], [d2,c55])).
% 30.40/8.16 cnf(d4, plain, ~relation(X0) | in(X1,'relation$udom'(X0)) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~function(X0) | ~function('relation$urng$urestriction'(X2,X0)) | ~relation(X0), inference(resolution, [status(thm)], [c12,d3])).
% 30.40/8.16 cnf(d5, plain, ~function(X0) | ~relation(X0) | in(X1,'relation$udom'(X0)) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c22,d4])).
% 30.40/8.16 cnf(d6, plain, in(sK10('relation$urng$urestriction'(X0,X1)),'relation$udom'(X1)) | ~function(X1) | ~relation(X1) | 'one$uto$uone'('relation$urng$urestriction'(X0,X1)) | ~'Ts5'('relation$urng$urestriction'(X0,X1)), inference(resolution, [status(thm)], [d5,c8])).
% 30.40/8.16 cnf(d7, plain, ~function(X0) | ~relation(X0) | in(sK10('relation$urng$urestriction'(X1,X0)),'relation$udom'(X0)) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d1,d6])).
% 30.40/8.16 cnf(d8, plain, in(sK9('relation$urng$urestriction'(X0,X1)),'relation$udom'(X1)) | ~function(X1) | ~relation(X1) | 'one$uto$uone'('relation$urng$urestriction'(X0,X1)) | ~'Ts5'('relation$urng$urestriction'(X0,X1)), inference(resolution, [status(thm)], [d5,c10])).
% 30.40/8.16 cnf(d9, plain, ~function(X0) | ~relation(X0) | in(sK9('relation$urng$urestriction'(X1,X0)),'relation$udom'(X0)) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d1,d8])).
% 30.40/8.16 cnf(d10, plain, apply(X0,X1) = apply('relation$urng$urestriction'(X2,X0),X1) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~'Ts50'(X2,'relation$urng$urestriction'(X2,X0),X0), inference(equality_resolution, [status(thm)], [c62])).
% 30.40/8.16 cnf(d11, plain, apply(X0,X1) = apply('relation$urng$urestriction'(X2,X0),X1) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~function('relation$urng$urestriction'(X2,X0)) | ~function(X0) | ~relation('relation$urng$urestriction'(X2,X0)) | ~relation(X0), inference(resolution, [status(thm)], [d10,c55])).
% 30.40/8.16 cnf(d12, plain, ~relation(X0) | apply(X0,X1) = apply('relation$urng$urestriction'(X2,X0),X1) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~function(X0) | ~function('relation$urng$urestriction'(X2,X0)) | ~relation(X0), inference(resolution, [status(thm)], [c12,d11])).
% 30.40/8.16 cnf(d13, plain, ~function(X0) | ~relation(X0) | apply(X0,X1) = apply('relation$urng$urestriction'(X2,X0),X1) | ~in(X1,'relation$udom'('relation$urng$urestriction'(X2,X0))) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c22,d12])).
% 30.40/8.16 cnf(d14, plain, apply(X0,sK10('relation$urng$urestriction'(X1,X0))) = apply('relation$urng$urestriction'(X1,X0),sK10('relation$urng$urestriction'(X1,X0))) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)) | ~'Ts5'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d13,c8])).
% 30.40/8.16 cnf(d15, plain, ~function(X0) | ~relation(X0) | apply(X0,sK10('relation$urng$urestriction'(X1,X0))) = apply('relation$urng$urestriction'(X1,X0),sK10('relation$urng$urestriction'(X1,X0))) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d1,d14])).
% 30.40/8.16 cnf(d16, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))) | ~function(sK61) | ~relation(sK61), inference(resolution, [status(thm)], [d15,c70])).
% 30.40/8.16 cnf(d17, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))) | ~relation(sK61), inference(resolution, [status(thm)], [c68,d16])).
% 30.40/8.16 cnf(d18, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))), inference(resolution, [status(thm)], [c69,d17])).
% 30.40/8.16 cnf(d19, plain, ~function(X0) | ~relation(X0) | apply('relation$urng$urestriction'(X1,X0),sK10('relation$urng$urestriction'(X1,X0))) = apply('relation$urng$urestriction'(X1,X0),sK9('relation$urng$urestriction'(X1,X0))) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d1,c9])).
% 30.40/8.16 cnf(d20, plain, apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK9('relation$urng$urestriction'(sK60,sK61))) | ~function(sK61) | ~relation(sK61), inference(resolution, [status(thm)], [d19,c70])).
% 30.40/8.16 cnf(d21, plain, apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK9('relation$urng$urestriction'(sK60,sK61))) | ~relation(sK61), inference(resolution, [status(thm)], [c68,d20])).
% 30.40/8.16 cnf(d22, plain, apply('relation$urng$urestriction'(sK60,sK61),sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK9('relation$urng$urestriction'(sK60,sK61))), inference(resolution, [status(thm)], [c69,d21])).
% 30.40/8.16 cnf(d23, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK9('relation$urng$urestriction'(sK60,sK61))), inference(demodulation, [status(thm)], [d22,d18])).
% 30.40/8.16 cnf(d24, plain, apply(X0,sK9('relation$urng$urestriction'(X1,X0))) = apply('relation$urng$urestriction'(X1,X0),sK9('relation$urng$urestriction'(X1,X0))) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)) | ~'Ts5'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d13,c10])).
% 30.40/8.16 cnf(d25, plain, ~function(X0) | ~relation(X0) | apply(X0,sK9('relation$urng$urestriction'(X1,X0))) = apply('relation$urng$urestriction'(X1,X0),sK9('relation$urng$urestriction'(X1,X0))) | ~function(X0) | ~relation(X0) | 'one$uto$uone'('relation$urng$urestriction'(X1,X0)), inference(resolution, [status(thm)], [d1,d24])).
% 30.40/8.16 cnf(d26, plain, apply(sK61,sK9('relation$urng$urestriction'(sK60,sK61))) = apply('relation$urng$urestriction'(sK60,sK61),sK9('relation$urng$urestriction'(sK60,sK61))) | ~function(sK61) | ~relation(sK61), inference(resolution, [status(thm)], [d25,c70])).
% 30.40/8.16 cnf(d27, plain, apply(sK61,sK9('relation$urng$urestriction'(sK60,sK61))) = apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) | ~function(sK61) | ~relation(sK61), inference(demodulation, [status(thm)], [d26,d23])).
% 30.40/8.16 cnf(d28, plain, apply(sK61,sK9('relation$urng$urestriction'(sK60,sK61))) = apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) | ~relation(sK61), inference(resolution, [status(thm)], [c68,d27])).
% 30.40/8.16 cnf(d29, plain, apply(sK61,sK9('relation$urng$urestriction'(sK60,sK61))) = apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))), inference(resolution, [status(thm)], [c69,d28])).
% 30.40/8.16 cnf(d30, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) != apply(sK61,X0) | sK9('relation$urng$urestriction'(sK60,sK61)) = X0 | ~in(X0,'relation$udom'(sK61)) | ~in(sK9('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | ~'one$uto$uone'(sK61) | ~'Ts5'(sK61), inference(superposition, [status(thm)], [d29,c7])).
% 30.40/8.16 cnf(d31, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) != apply(sK61,X0) | sK9('relation$urng$urestriction'(sK60,sK61)) = X0 | ~in(X0,'relation$udom'(sK61)) | ~in(sK9('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | ~'Ts5'(sK61), inference(resolution, [status(thm)], [c71,d30])).
% 30.40/8.16 cnf(d32, plain, ~function(sK61) | 'Ts5'(sK61), inference(resolution, [status(thm)], [c6,c69])).
% 30.40/8.16 cnf(d33, plain, 'Ts5'(sK61), inference(resolution, [status(thm)], [c68,d32])).
% 30.40/8.16 cnf(d34, plain, apply(sK61,sK10('relation$urng$urestriction'(sK60,sK61))) != apply(sK61,X0) | sK9('relation$urng$urestriction'(sK60,sK61)) = X0 | ~in(X0,'relation$udom'(sK61)) | ~in(sK9('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)), inference(resolution, [status(thm)], [d33,d31])).
% 30.40/8.16 cnf(d35, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~in(sK10('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | ~in(sK9('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)), inference(equality_resolution, [status(thm)], [d34])).
% 30.40/8.16 cnf(d36, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~in(sK10('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | ~function(sK61) | ~relation(sK61) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [d35,d9])).
% 30.40/8.16 cnf(d37, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~in(sK10('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | ~relation(sK61) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c68,d36])).
% 30.40/8.16 cnf(d38, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~in(sK10('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c69,d37])).
% 30.40/8.16 cnf(d39, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~in(sK10('relation$urng$urestriction'(sK60,sK61)),'relation$udom'(sK61)), inference(resolution, [status(thm)], [c70,d38])).
% 30.40/8.16 cnf(d40, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~function(sK61) | ~relation(sK61) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [d39,d7])).
% 30.40/8.16 cnf(d41, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | ~relation(sK61) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c68,d40])).
% 30.40/8.16 cnf(d42, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c69,d41])).
% 30.40/8.16 cnf(d43, plain, sK9('relation$urng$urestriction'(sK60,sK61)) = sK10('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c70,d42])).
% 30.40/8.16 cnf(d44, plain, sK10('relation$urng$urestriction'(sK60,sK61)) != sK10('relation$urng$urestriction'(sK60,sK61)) | 'one$uto$uone'('relation$urng$urestriction'(sK60,sK61)) | ~'Ts5'('relation$urng$urestriction'(sK60,sK61)), inference(superposition, [status(thm)], [d43,c11])).
% 30.40/8.16 cnf(d45, plain, sK10('relation$urng$urestriction'(sK60,sK61)) != sK10('relation$urng$urestriction'(sK60,sK61)) | ~'Ts5'('relation$urng$urestriction'(sK60,sK61)), inference(resolution, [status(thm)], [c70,d44])).
% 30.40/8.16 cnf(d46, plain, ~'Ts5'('relation$urng$urestriction'(sK60,sK61)), inference(equality_resolution, [status(thm)], [d45])).
% 30.40/8.16 cnf(d47, plain, ~function(sK61) | ~relation(sK61), inference(resolution, [status(thm)], [d46,d1])).
% 30.40/8.16 cnf(d48, plain, ~relation(sK61), inference(resolution, [status(thm)], [c68,d47])).
% 30.40/8.16 cnf(d49, plain, $false, inference(resolution, [status(thm)], [c69,d48])).
% 30.40/8.16 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------