%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU220+3 : 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 : n007.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 14.80s 3.85s
% Output : CNFRefutation 14.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU220+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:51:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.80/3.85 % SZS status Theorem for theBenchmark.p
% 14.80/3.85 % SZS output start CNFRefutation for theBenchmark.p
% 14.80/3.85 fof(dt_k2_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => (relation('function$uinverse'(X0)) & function('function$uinverse'(X0)))))).
% 14.80/3.85 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)))))))).
% 14.80/3.85 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$urng'(X0)) & X3 = apply(X1,X2))))))))))))).
% 14.80/3.85 fof(t55_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => ('relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)) & 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))))))).
% 14.80/3.85 fof(t57_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$urng'(X1))) => (X0 = apply(X1,apply('function$uinverse'(X1),X0)) & X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0)))))).
% 14.80/3.85 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X1) & in(X0,'relation$urng'(X1))) => (X0 = apply(X1,apply('function$uinverse'(X1),X0)) & X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0))))), inference(negate_conjecture, [status(cth)], [t57_funct_1])).
% 14.80/3.85 cnf(c6, plain, ~function(X0) | ~relation(X0) | relation('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 14.80/3.85 cnf(c7, plain, ~function(X0) | ~relation(X0) | function('function$uinverse'(X0)), inference(clausification, [status(esa)], [dt_k2_funct_1])).
% 14.80/3.85 cnf(c51, plain, ~relation(X0) | ~relation(X1) | ~in(X2,'relation$udom'(X1)) | apply(X0,apply(X1,X2)) = apply('relation$ucomposition'(X1,X0),X2) | ~function(X1) | ~function(X0), inference(clausification, [status(esa)], [t23_funct_1])).
% 14.80/3.85 cnf(c56, plain, ~relation(X0) | ~'one$uto$uone'(X0) | ~relation(X1) | ~function(X1) | X2(X0,X1) | 'function$uinverse'(X0) != X1 | ~function(X0), inference(clausification, [status(esa)], [t54_funct_1])).
% 14.80/3.85 cnf(c62, plain, ~X0(X1,X2) | apply(X2,X3) != X4 | ~in(X3,'relation$urng'(X1)) | apply(X1,X4) = X3, inference(clausification, [status(esa)], [t54_funct_1])).
% 14.80/3.85 cnf(c68, plain, ~function(X0) | ~relation(X0) | 'relation$udom'('function$uinverse'(X0)) = 'relation$urng'(X0) | ~'one$uto$uone'(X0), inference(clausification, [status(esa)], [t55_funct_1])).
% 14.80/3.85 cnf(c74, plain, function(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.80/3.85 cnf(c75, plain, relation(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.80/3.85 cnf(c76, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) != sK64 | apply('relation$ucomposition'('function$uinverse'(sK65),sK65),sK64) != sK64, inference(clausification, [status(esa)], [negated_conjecture])).
% 14.80/3.85 cnf(c77, plain, 'one$uto$uone'(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.80/3.85 cnf(c78, plain, in(sK64,'relation$urng'(sK65)), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.80/3.85 cnf(d0, plain, ~function('function$uinverse'(X0)) | ~function(X0) | ~relation('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts47'(X0,'function$uinverse'(X0)), inference(equality_resolution, [status(thm)], [c56])).
% 14.80/3.85 cnf(d1, plain, ~function(X0) | ~relation(X0) | ~function(X0) | ~function('function$uinverse'(X0)) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts47'(X0,'function$uinverse'(X0)), inference(resolution, [status(thm)], [c6,d0])).
% 14.80/3.85 cnf(d2, plain, ~function(X0) | ~relation(X0) | ~function(X0) | ~relation(X0) | ~'one$uto$uone'(X0) | 'Ts47'(X0,'function$uinverse'(X0)), inference(resolution, [status(thm)], [c7,d1])).
% 14.80/3.85 cnf(d3, plain, apply(X0,apply(X1,X2)) = X2 | ~in(X2,'relation$urng'(X0)) | ~'Ts47'(X0,X1), inference(equality_resolution, [status(thm)], [c62])).
% 14.80/3.85 cnf(d4, plain, apply(sK65,apply(X0,sK64)) = sK64 | ~'Ts47'(sK65,X0), inference(resolution, [status(thm)], [d3,c78])).
% 14.80/3.85 cnf(d5, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = sK64 | ~function(sK65) | ~relation(sK65) | ~'one$uto$uone'(sK65), inference(resolution, [status(thm)], [d4,d2])).
% 14.80/3.85 cnf(d6, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = sK64 | ~relation(sK65) | ~'one$uto$uone'(sK65), inference(resolution, [status(thm)], [c74,d5])).
% 14.80/3.85 cnf(d7, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = sK64 | ~'one$uto$uone'(sK65), inference(resolution, [status(thm)], [c75,d6])).
% 14.80/3.85 cnf(d8, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = sK64, inference(resolution, [status(thm)], [c77,d7])).
% 14.80/3.85 cnf(d9, plain, 'relation$udom'('function$uinverse'(sK65)) = 'relation$urng'(sK65) | ~function(sK65) | ~relation(sK65), inference(resolution, [status(thm)], [c68,c77])).
% 14.80/3.85 cnf(d10, plain, 'relation$udom'('function$uinverse'(sK65)) = 'relation$urng'(sK65) | ~relation(sK65), inference(resolution, [status(thm)], [c74,d9])).
% 14.80/3.85 cnf(d11, plain, 'relation$udom'('function$uinverse'(sK65)) = 'relation$urng'(sK65), inference(resolution, [status(thm)], [c75,d10])).
% 14.80/3.85 cnf(d12, plain, ~in(X0,'relation$urng'(sK65)) | apply(X1,apply('function$uinverse'(sK65),X0)) = apply('relation$ucomposition'('function$uinverse'(sK65),X1),X0) | ~function(X1) | ~function('function$uinverse'(sK65)) | ~relation(X1) | ~relation('function$uinverse'(sK65)), inference(superposition, [status(thm)], [d11,c51])).
% 14.80/3.85 cnf(d13, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~function('function$uinverse'(sK65)) | ~relation(X0) | ~relation('function$uinverse'(sK65)), inference(resolution, [status(thm)], [d12,c78])).
% 14.80/3.85 cnf(d14, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~function('function$uinverse'(sK65)) | ~relation(X0) | ~function(sK65) | ~relation(sK65), inference(resolution, [status(thm)], [d13,c6])).
% 14.80/3.85 cnf(d15, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~function('function$uinverse'(sK65)) | ~relation(X0) | ~relation(sK65), inference(resolution, [status(thm)], [c74,d14])).
% 14.80/3.85 cnf(d16, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~function('function$uinverse'(sK65)) | ~relation(X0), inference(resolution, [status(thm)], [c75,d15])).
% 14.80/3.85 cnf(d17, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~relation(X0) | ~function(sK65) | ~relation(sK65), inference(resolution, [status(thm)], [d16,c7])).
% 14.80/3.85 cnf(d18, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~relation(X0) | ~relation(sK65), inference(resolution, [status(thm)], [c74,d17])).
% 14.80/3.85 cnf(d19, plain, apply(X0,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),X0),sK64) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [c75,d18])).
% 14.80/3.85 cnf(d20, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),sK65),sK64) | ~function(sK65), inference(resolution, [status(thm)], [d19,c75])).
% 14.80/3.85 cnf(d21, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) = apply('relation$ucomposition'('function$uinverse'(sK65),sK65),sK64), inference(resolution, [status(thm)], [c74,d20])).
% 14.80/3.85 cnf(d22, plain, apply(sK65,apply('function$uinverse'(sK65),sK64)) != sK64 | apply(sK65,apply('function$uinverse'(sK65),sK64)) != sK64, inference(demodulation, [status(thm)], [c76,d21])).
% 14.80/3.85 cnf(d23, plain, $false, inference(resolution, [status(thm)], [d22,d8])).
% 14.80/3.85 % SZS output end CNFRefutation for theBenchmark.p
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