%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU221+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 08:41:19 AM UTC 2026
% Result : Theorem 53.43s 17.23s
% Output : CNFRefutation 53.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU221+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.39 % Computer : n010.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sat Sep 26 08:54:01 UTC 2026
% 0.16/10.40 % CPUTime :
% 0.16/10.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.43/17.23 % SZS status Theorem for theBenchmark.p
% 53.43/17.23 % SZS output start CNFRefutation for theBenchmark.p
% 53.43/17.23 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)))))).
% 53.43/17.23 fof(dt_k2_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => (relation('function$uinverse'(X0)) & function('function$uinverse'(X0)))))).
% 53.43/17.23 fof(t54_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => ! [X1] : (((relation(X1) & function(X1)) => (X1 = 'function$uinverse'(X0) <=> ('relation$udom'(X1) = 'relation$urng'(X0) & ! [X2] : ! [X3] : ((((in(X2,'relation$urng'(X0)) & X3 = apply(X1,X2)) => (in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3))) & ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)) => (in(X2,'relation$urng'(X0)) & X3 = apply(X1,X2))))))))))))).
% 53.43/17.23 fof(t62_funct_1, conjecture, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => 'one$uto$uone'('function$uinverse'(X0)))))).
% 53.43/17.23 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => 'one$uto$uone'('function$uinverse'(X0))))), inference(negate_conjecture, [status(cth)], [t62_funct_1])).
% 53.43/17.23 cnf(c7, plain, ~relation(X0) | ~function(X0) | 'one$uto$uone'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 53.43/17.23 cnf(c9, plain, X0(X1) | in(sK9(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 53.43/17.23 cnf(c10, plain, X0(X1) | in(sK10(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 53.43/17.23 cnf(c11, plain, X0(X1) | apply(X1,sK9(X1)) = apply(X1,sK10(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 53.43/17.23 cnf(c12, plain, X0(X1) | sK9(X1) != sK10(X1), inference(clausification, [status(esa)], [d8_funct_1])).
% 53.43/17.23 cnf(c13, plain, ~relation(X0) | ~function(X0) | relation('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 53.43/17.23 cnf(c14, plain, ~relation(X0) | ~function(X0) | function('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 53.43/17.23 cnf(c62, plain, ~function(X0) | ~function(X1) | X2(X0,X1) | ~'one$uto$uone'(X0) | ~relation(X1) | ~relation(X0) | X1 != 'function$uinverse'(X0), inference(clausification, [status(esa)], [t54_funct_1])).
% 53.43/17.23 cnf(c65, plain, ~X0(X1,X2,X3,X4) | ~in(X3,'relation$urng'(X1)) | X4 != apply(X2,X3) | X3 = apply(X1,X4), inference(clausification, [status(esa)], [t54_funct_1])).
% 53.43/17.23 cnf(c69, plain, ~X0(X1,X2) | 'relation$udom'(X2) = 'relation$urng'(X1), inference(clausification, [status(esa)], [t54_funct_1])).
% 53.43/17.23 cnf(c70, plain, ~X0(X1,X2) | X3(X1,X2,X4,X5), inference(clausification, [status(esa)], [t54_funct_1])).
% 53.43/17.23 cnf(c82, plain, relation(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 53.43/17.23 cnf(c83, plain, function(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 53.43/17.23 cnf(c84, plain, 'one$uto$uone'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 53.43/17.23 cnf(c85, plain, ~'one$uto$uone'('function$uinverse'(sK68)), inference(clausification, [status(esa)], [negated_conjecture])).
% 53.43/17.23 cnf(d0, plain, ~function(X0) | ~function('function$uinverse'(X0)) | ~relation(X0) | ~relation('function$uinverse'(X0)) | ~'one$uto$uone'(X0) | 'Ts51'(X0,'function$uinverse'(X0)), inference(equality_resolution, [status(thm)], [c62])).
% 53.43/17.23 cnf(d1, plain, in(sK9(X0),'relation$urng'(X1)) | 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(superposition, [status(thm)], [c69,c9])).
% 53.43/17.23 cnf(d2, plain, in(sK10(X0),'relation$urng'(X1)) | 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(superposition, [status(thm)], [c69,c10])).
% 53.43/17.23 cnf(d3, plain, X0 = apply(X1,apply(X2,X0)) | ~in(X0,'relation$urng'(X1)) | ~'Ts50'(X1,X2,X0,apply(X2,X0)), inference(equality_resolution, [status(thm)], [c65])).
% 53.43/17.23 cnf(d4, plain, X0 = apply(X1,apply(X2,X0)) | ~in(X0,'relation$urng'(X1)) | ~'Ts51'(X1,X2), inference(resolution, [status(thm)], [d3,c70])).
% 53.43/17.23 cnf(d5, plain, sK10(X0) = apply(X1,apply(X0,sK9(X0))) | ~in(sK10(X0),'relation$urng'(X1)) | ~'Ts51'(X1,X0) | 'Ts5'(X0), inference(superposition, [status(thm)], [c11,d4])).
% 53.43/17.23 cnf(d6, plain, sK9(X1) = sK10(X1) | ~in(sK9(X1),'relation$urng'(X0)) | ~'Ts51'(X0,X1) | ~in(sK10(X1),'relation$urng'(X0)) | 'Ts5'(X1) | ~'Ts51'(X0,X1), inference(superposition, [status(thm)], [d5,d4])).
% 53.43/17.23 cnf(d7, plain, sK9(X0) = sK10(X0) | ~in(sK9(X0),'relation$urng'(X1)) | 'Ts5'(X0) | ~'Ts51'(X1,X0) | 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(resolution, [status(thm)], [d6,d2])).
% 53.43/17.23 cnf(d8, plain, sK9(X0) = sK10(X0) | 'Ts5'(X0) | ~'Ts51'(X1,X0) | 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(resolution, [status(thm)], [d7,d1])).
% 53.43/17.23 cnf(d9, plain, sK9(X0) != sK9(X0) | 'Ts5'(X0) | 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(superposition, [status(thm)], [d8,c12])).
% 53.43/17.23 cnf(d10, plain, 'Ts5'(X0) | ~'Ts51'(X1,X0), inference(equality_resolution, [status(thm)], [d9])).
% 53.43/17.23 cnf(d11, plain, 'Ts5'('function$uinverse'(X0)) | ~function(X0) | ~function('function$uinverse'(X0)) | ~relation(X0) | ~relation('function$uinverse'(X0)) | ~'one$uto$uone'(X0), inference(resolution, [status(thm)], [d10,d0])).
% 53.43/17.23 cnf(d12, plain, ~function(X0) | ~function('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts5'('function$uinverse'(X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d11,c13])).
% 53.43/17.23 cnf(d13, plain, ~function(X0) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts5'('function$uinverse'(X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d12,c14])).
% 53.43/17.23 cnf(d14, plain, ~function(X0) | ~relation(X0) | ~'one$uto$uone'(X0) | ~function('function$uinverse'(X0)) | ~relation('function$uinverse'(X0)) | 'one$uto$uone'('function$uinverse'(X0)), inference(resolution, [status(thm)], [d13,c7])).
% 53.43/17.23 cnf(d15, plain, ~function(X0) | ~function('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'one$uto$uone'('function$uinverse'(X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d14,c13])).
% 53.43/17.23 cnf(d16, plain, ~function(X0) | ~relation(X0) | ~'one$uto$uone'(X0) | 'one$uto$uone'('function$uinverse'(X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d15,c14])).
% 53.43/17.23 cnf(d17, plain, ~function(sK68) | ~relation(sK68) | ~'one$uto$uone'(sK68), inference(resolution, [status(thm)], [d16,c85])).
% 53.43/17.23 cnf(d18, plain, ~function(sK68) | ~'one$uto$uone'(sK68), inference(resolution, [status(thm)], [c82,d17])).
% 53.43/17.23 cnf(d19, plain, ~'one$uto$uone'(sK68), inference(resolution, [status(thm)], [c83,d18])).
% 53.43/17.23 cnf(d20, plain, $false, inference(resolution, [status(thm)], [c84,d19])).
% 53.43/17.23 % SZS output end CNFRefutation for theBenchmark.p
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