%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU220+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:19 AM UTC 2026
% Result : Theorem 18.06s 8.89s
% Output : CNFRefutation 18.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU220+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42 % Computer : n017.cluster.edu
% 0.08/0.42 % Model : x86_64 x86_64
% 0.08/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42 % Memory : 8046.5625MB
% 0.08/0.42 % OS : Linux 6.8.0-71-generic
% 0.08/0.43 % CPULimit : 300
% 0.08/0.43 % WCLimit : 300
% 0.08/0.43 % DateTime : Sat Sep 26 08:48:18 UTC 2026
% 0.08/0.43 % CPUTime :
% 0.08/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.06/8.89 % SZS status Theorem for theBenchmark.p
% 18.06/8.89 % SZS output start CNFRefutation for theBenchmark.p
% 18.06/8.89 fof(dt_k2_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => (relation('function$uinverse'(X0)) & function('function$uinverse'(X0)))))).
% 18.06/8.89 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)))))))).
% 18.06/8.89 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$urng'(X0)) & X3 = apply(X1,X2))))))))))))).
% 18.06/8.89 fof(t55_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => ('relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)) & 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))))))).
% 18.06/8.89 fof(t57_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$urng'(X1))) => (X0 = apply(X1,apply('function$uinverse'(X1),X0)) & X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0)))))).
% 18.06/8.89 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$urng'(X1))) => (X0 = apply(X1,apply('function$uinverse'(X1),X0)) & X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0))))), inference(negate_conjecture, [status(cth)], [t57_funct_1])).
% 18.06/8.89 cnf(c6, plain, ~relation(X0) | ~function(X0) | relation('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 18.06/8.89 cnf(c7, plain, ~relation(X0) | ~function(X0) | function('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 18.06/8.89 cnf(c45, plain, apply('relation$ucomposition'(X0,X1),X2) = apply(X1,apply(X0,X2)) | ~relation(X1) | ~in(X2,'relation$udom'(X0)) | ~function(X0) | ~relation(X0) | ~function(X1), inference(clausification, [status(esa)], [t23_funct_1])).
% 18.06/8.89 cnf(c47, plain, ~function(X0) | X1 != 'function$uinverse'(X0) | ~function(X1) | ~relation(X0) | ~'one$uto$uone'(X0) | X2(X0,X1) | ~relation(X1), inference(clausification, [status(esa)], [t54_funct_1])).
% 18.06/8.89 cnf(c50, plain, ~X0(X1,X2,X3,X4) | ~in(X3,'relation$urng'(X1)) | X4 != apply(X2,X3) | X3 = apply(X1,X4), inference(clausification, [status(esa)], [t54_funct_1])).
% 18.06/8.89 cnf(c55, plain, ~X0(X1,X2) | X3(X1,X2,X4,X5), inference(clausification, [status(esa)], [t54_funct_1])).
% 18.06/8.89 cnf(c61, plain, ~relation(X0) | ~function(X0) | ~'one$uto$uone'(X0) | 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)), inference(clausification, [status(esa)], [t55_funct_1])).
% 18.06/8.89 cnf(c66, plain, relation(sK50), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.06/8.89 cnf(c67, plain, function(sK50), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.06/8.89 cnf(c68, plain, 'one$uto$uone'(sK50), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.06/8.89 cnf(c69, plain, in(sK49,'relation$urng'(sK50)), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.06/8.89 cnf(c70, plain, sK49 != apply(sK50,apply('function$uinverse'(sK50),sK49)) | sK49 != apply('relation$ucomposition'('function$uinverse'(sK50),sK50),sK49), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.06/8.89 cnf(d0, plain, ~function('function$uinverse'(X0)) | ~function(X0) | ~relation('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts36'(X0,'function$uinverse'(X0)), inference(equality_resolution, [status(thm)], [c47])).
% 18.06/8.89 cnf(d1, plain, X0 = apply(X1,apply(X2,X0)) | ~in(X0,'relation$urng'(X1)) | ~'Ts35'(X1,X2,X0,apply(X2,X0)), inference(equality_resolution, [status(thm)], [c50])).
% 18.06/8.89 cnf(d2, plain, X0 = apply(X1,apply(X2,X0)) | ~in(X0,'relation$urng'(X1)) | ~'Ts36'(X1,X2), inference(resolution, [status(thm)], [d1,c55])).
% 18.06/8.89 cnf(d3, plain, sK49 = apply(sK50,apply(X0,sK49)) | ~'Ts36'(sK50,X0), inference(resolution, [status(thm)], [d2,c69])).
% 18.06/8.89 cnf(d4, plain, sK49 = apply(sK50,apply('function$uinverse'(sK50),sK49)) | ~function(sK50) | ~function('function$uinverse'(sK50)) | ~relation(sK50) | ~relation('function$uinverse'(sK50)) | ~'one$uto$uone'(sK50), inference(resolution, [status(thm)], [d3,d0])).
% 18.06/8.89 cnf(d5, plain, sK49 = apply(sK50,apply('function$uinverse'(sK50),sK49)) | ~function('function$uinverse'(sK50)) | ~function(sK50) | ~relation('function$uinverse'(sK50)) | ~'one$uto$uone'(sK50), inference(resolution, [status(thm)], [c66,d4])).
% 18.06/8.89 cnf(d6, plain, sK49 = apply(sK50,apply('function$uinverse'(sK50),sK49)) | ~function('function$uinverse'(sK50)) | ~relation('function$uinverse'(sK50)) | ~'one$uto$uone'(sK50), inference(resolution, [status(thm)], [c67,d5])).
% 18.06/8.89 cnf(d7, plain, sK49 = apply(sK50,apply('function$uinverse'(sK50),sK49)) | ~function('function$uinverse'(sK50)) | ~relation('function$uinverse'(sK50)), inference(resolution, [status(thm)], [c68,d6])).
% 18.06/8.89 cnf(d8, plain, 'relation$urng'(sK50) = 'relation$udom'('function$uinverse'(sK50)) | ~function(sK50) | ~relation(sK50), inference(resolution, [status(thm)], [c61,c68])).
% 18.06/8.89 cnf(d9, plain, 'relation$urng'(sK50) = 'relation$udom'('function$uinverse'(sK50)) | ~function(sK50), inference(resolution, [status(thm)], [c66,d8])).
% 18.06/8.89 cnf(d10, plain, 'relation$urng'(sK50) = 'relation$udom'('function$uinverse'(sK50)), inference(resolution, [status(thm)], [c67,d9])).
% 18.06/8.89 cnf(d11, plain, ~in(X0,'relation$urng'(sK50)) | apply('relation$ucomposition'('function$uinverse'(sK50),X1),X0) = apply(X1,apply('function$uinverse'(sK50),X0)) | ~function(X1) | ~function('function$uinverse'(sK50)) | ~relation(X1) | ~relation('function$uinverse'(sK50)), inference(superposition, [status(thm)], [d10,c45])).
% 18.06/8.89 cnf(d12, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~function('function$uinverse'(sK50)) | ~relation(X0) | ~relation('function$uinverse'(sK50)), inference(resolution, [status(thm)], [d11,c69])).
% 18.06/8.89 cnf(d13, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~function('function$uinverse'(sK50)) | ~relation(X0) | ~function(sK50) | ~relation(sK50), inference(resolution, [status(thm)], [d12,c6])).
% 18.06/8.89 cnf(d14, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~function('function$uinverse'(sK50)) | ~function(sK50) | ~relation(X0), inference(resolution, [status(thm)], [c66,d13])).
% 18.06/8.89 cnf(d15, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~function('function$uinverse'(sK50)) | ~relation(X0), inference(resolution, [status(thm)], [c67,d14])).
% 18.06/8.89 cnf(d16, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~relation(X0) | ~function(sK50) | ~relation(sK50), inference(resolution, [status(thm)], [d15,c7])).
% 18.06/8.89 cnf(d17, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~function(sK50) | ~relation(X0), inference(resolution, [status(thm)], [c66,d16])).
% 18.06/8.89 cnf(d18, plain, apply('relation$ucomposition'('function$uinverse'(sK50),X0),sK49) = apply(X0,apply('function$uinverse'(sK50),sK49)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c67,d17])).
% 18.06/8.89 cnf(d19, plain, apply('relation$ucomposition'('function$uinverse'(sK50),sK50),sK49) = apply(sK50,apply('function$uinverse'(sK50),sK49)) | ~function(sK50), inference(resolution, [status(thm)], [d18,c66])).
% 18.06/8.89 cnf(d20, plain, apply('relation$ucomposition'('function$uinverse'(sK50),sK50),sK49) = apply(sK50,apply('function$uinverse'(sK50),sK49)), inference(resolution, [status(thm)], [c67,d19])).
% 18.06/8.89 cnf(d21, plain, sK49 != apply(sK50,apply('function$uinverse'(sK50),sK49)) | sK49 != apply(sK50,apply('function$uinverse'(sK50),sK49)), inference(demodulation, [status(thm)], [c70,d20])).
% 18.06/8.89 cnf(d22, plain, ~function('function$uinverse'(sK50)) | ~relation('function$uinverse'(sK50)), inference(resolution, [status(thm)], [d21,d7])).
% 18.06/8.89 cnf(d23, plain, ~function('function$uinverse'(sK50)) | ~function(sK50) | ~relation(sK50), inference(resolution, [status(thm)], [d22,c6])).
% 18.06/8.89 cnf(d24, plain, ~function('function$uinverse'(sK50)) | ~function(sK50), inference(resolution, [status(thm)], [c66,d23])).
% 18.06/8.89 cnf(d25, plain, ~function('function$uinverse'(sK50)), inference(resolution, [status(thm)], [c67,d24])).
% 18.06/8.89 cnf(d26, plain, ~function(sK50) | ~relation(sK50), inference(resolution, [status(thm)], [d25,c7])).
% 18.06/8.89 cnf(d27, plain, ~function(sK50), inference(resolution, [status(thm)], [c66,d26])).
% 18.06/8.89 cnf(d28, plain, $false, inference(resolution, [status(thm)], [c67,d27])).
% 18.06/8.89 % SZS output end CNFRefutation for theBenchmark.p
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