%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU023+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 : n017.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 08:40:46 AM UTC 2026
% Result : Theorem 17.97s 2.93s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU023+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
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:26:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.97/2.93 % SZS status Theorem for theBenchmark.p
% 17.97/2.93 % SZS output start CNFRefutation for theBenchmark.p
% 17.97/2.93 fof(dt_k2_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => (relation('function$uinverse'(X0)) & function('function$uinverse'(X0)))))).
% 17.97/2.93 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)))))))).
% 17.97/2.93 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$urng'(X0)) & X3 = apply(X1,X2))))))))))))).
% 17.97/2.93 fof(t56_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$udom'(X1))) => (X0 = apply('function$uinverse'(X1),apply(X1,X0)) & X0 = apply('relation$ucomposition'(X1,'function$uinverse'(X1)),X0)))))).
% 17.97/2.93 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$udom'(X1))) => (X0 = apply('function$uinverse'(X1),apply(X1,X0)) & X0 = apply('relation$ucomposition'(X1,'function$uinverse'(X1)),X0))))), inference(negate_conjecture, [status(cth)], [t56_funct_1])).
% 17.97/2.93 cnf(c6, plain, ~relation(X0) | ~function(X0) | relation('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 17.97/2.93 cnf(c7, plain, ~relation(X0) | ~function(X0) | function('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 17.97/2.93 cnf(c51, plain, ~relation(X0) | apply('relation$ucomposition'(X1,X0),X2) = apply(X0,apply(X1,X2)) | ~relation(X1) | ~in(X2,'relation$udom'(X1)) | ~function(X1) | ~function(X0), inference(clausification, [status(esa)], [t23_funct_1])).
% 17.97/2.93 cnf(c56, plain, ~relation(X0) | ~'one$uto$uone'(X0) | ~function(X0) | X1 != 'function$uinverse'(X0) | ~relation(X1) | ~function(X1) | X2(X0,X1), inference(clausification, [status(esa)], [t54_funct_1])).
% 17.97/2.93 cnf(c66, plain, ~X0(X1,X2) | ~in(X3,'relation$udom'(X1)) | X4 != apply(X1,X3) | X3 = apply(X2,X4), inference(clausification, [status(esa)], [t54_funct_1])).
% 17.97/2.93 cnf(c74, plain, relation(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.97/2.93 cnf(c75, plain, function(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.97/2.93 cnf(c76, plain, 'one$uto$uone'(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.97/2.93 cnf(c77, plain, in(sK63,'relation$udom'(sK64)), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.97/2.93 cnf(c78, plain, sK63 != apply('function$uinverse'(sK64),apply(sK64,sK63)) | sK63 != apply('relation$ucomposition'(sK64,'function$uinverse'(sK64)),sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.97/2.93 cnf(d0, plain, ~function('function$uinverse'(X0)) | ~function(X0) | ~relation('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts48'(X0,'function$uinverse'(X0)), inference(equality_resolution, [status(thm)], [c56])).
% 17.97/2.93 cnf(d1, plain, X0 = apply(X1,apply(X2,X0)) | ~in(X0,'relation$udom'(X2)) | ~'Ts48'(X2,X1), inference(equality_resolution, [status(thm)], [c66])).
% 17.97/2.93 cnf(d2, plain, sK63 = apply(X0,apply(sK64,sK63)) | ~'Ts48'(sK64,X0), inference(resolution, [status(thm)], [d1,c77])).
% 17.97/2.93 cnf(d3, plain, sK63 = apply('function$uinverse'(sK64),apply(sK64,sK63)) | ~function(sK64) | ~function('function$uinverse'(sK64)) | ~relation(sK64) | ~relation('function$uinverse'(sK64)) | ~'one$uto$uone'(sK64), inference(resolution, [status(thm)], [d2,d0])).
% 17.97/2.93 cnf(d4, plain, sK63 = apply('function$uinverse'(sK64),apply(sK64,sK63)) | ~function('function$uinverse'(sK64)) | ~function(sK64) | ~relation('function$uinverse'(sK64)) | ~'one$uto$uone'(sK64), inference(resolution, [status(thm)], [c74,d3])).
% 17.97/2.93 cnf(d5, plain, sK63 = apply('function$uinverse'(sK64),apply(sK64,sK63)) | ~function('function$uinverse'(sK64)) | ~relation('function$uinverse'(sK64)) | ~'one$uto$uone'(sK64), inference(resolution, [status(thm)], [c75,d4])).
% 17.97/2.93 cnf(d6, plain, sK63 = apply('function$uinverse'(sK64),apply(sK64,sK63)) | ~function('function$uinverse'(sK64)) | ~relation('function$uinverse'(sK64)), inference(resolution, [status(thm)], [c76,d5])).
% 17.97/2.93 cnf(d7, plain, apply('relation$ucomposition'(sK64,X0),sK63) = apply(X0,apply(sK64,sK63)) | ~function(X0) | ~function(sK64) | ~relation(X0) | ~relation(sK64), inference(resolution, [status(thm)], [c51,c77])).
% 17.97/2.93 cnf(d8, plain, apply('relation$ucomposition'(sK64,X0),sK63) = apply(X0,apply(sK64,sK63)) | ~function(X0) | ~function(sK64) | ~relation(X0), inference(resolution, [status(thm)], [c74,d7])).
% 17.97/2.93 cnf(d9, plain, apply('relation$ucomposition'(sK64,X0),sK63) = apply(X0,apply(sK64,sK63)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c75,d8])).
% 17.97/2.93 cnf(d10, plain, apply('relation$ucomposition'(sK64,'function$uinverse'(X0)),sK63) = apply('function$uinverse'(X0),apply(sK64,sK63)) | ~function('function$uinverse'(X0)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d9,c6])).
% 17.97/2.93 cnf(d11, plain, apply('relation$ucomposition'(sK64,'function$uinverse'(X0)),sK63) = apply('function$uinverse'(X0),apply(sK64,sK63)) | ~function(X0) | ~relation(X0) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d10,c7])).
% 17.97/2.93 cnf(d12, plain, apply('relation$ucomposition'(sK64,'function$uinverse'(sK64)),sK63) = apply('function$uinverse'(sK64),apply(sK64,sK63)) | ~function(sK64), inference(resolution, [status(thm)], [d11,c74])).
% 17.97/2.93 cnf(d13, plain, apply('relation$ucomposition'(sK64,'function$uinverse'(sK64)),sK63) = apply('function$uinverse'(sK64),apply(sK64,sK63)), inference(resolution, [status(thm)], [c75,d12])).
% 17.97/2.93 cnf(d14, plain, sK63 != apply('function$uinverse'(sK64),apply(sK64,sK63)) | sK63 != apply('function$uinverse'(sK64),apply(sK64,sK63)), inference(demodulation, [status(thm)], [c78,d13])).
% 17.97/2.93 cnf(d15, plain, ~function('function$uinverse'(sK64)) | ~relation('function$uinverse'(sK64)), inference(resolution, [status(thm)], [d14,d6])).
% 17.97/2.93 cnf(d16, plain, ~function('function$uinverse'(sK64)) | ~function(sK64) | ~relation(sK64), inference(resolution, [status(thm)], [d15,c6])).
% 17.97/2.93 cnf(d17, plain, ~function('function$uinverse'(sK64)) | ~function(sK64), inference(resolution, [status(thm)], [c74,d16])).
% 17.97/2.93 cnf(d18, plain, ~function('function$uinverse'(sK64)), inference(resolution, [status(thm)], [c75,d17])).
% 17.97/2.93 cnf(d19, plain, ~function(sK64) | ~relation(sK64), inference(resolution, [status(thm)], [d18,c7])).
% 17.97/2.93 cnf(d20, plain, ~function(sK64), inference(resolution, [status(thm)], [c74,d19])).
% 17.97/2.93 cnf(d21, plain, $false, inference(resolution, [status(thm)], [c75,d20])).
% 17.97/2.93 % SZS output end CNFRefutation for theBenchmark.p
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