%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU226+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 : 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 08:41:21 AM UTC 2026
% Result : Theorem 34.24s 4.80s
% Output : CNFRefutation 34.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU226+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 08:49:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.24/4.80 % SZS status Theorem for theBenchmark.p
% 34.24/4.80 % SZS output start CNFRefutation for theBenchmark.p
% 34.24/4.80 fof(d12_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ! [X2] : ((X2 = 'relation$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ((in(X4,'relation$udom'(X0)) & (in(X4,X1) & X3 = apply(X0,X4))))))))))).
% 34.24/4.80 fof(d13_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ! [X2] : ((X2 = 'relation$uinverse$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,'relation$udom'(X0)) & in(apply(X0,X3),X1))))))))).
% 34.24/4.80 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 34.24/4.80 fof(t145_funct_1, conjecture, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => subset('relation$uimage'(X1,'relation$uinverse$uimage'(X1,X0)),X0)))).
% 34.24/4.80 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((relation(X1) & function(X1)) => subset('relation$uimage'(X1,'relation$uinverse$uimage'(X1,X0)),X0))), inference(negate_conjecture, [status(cth)], [t145_funct_1])).
% 34.24/4.80 cnf(c6, plain, ~function(X0) | ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d12_funct_1])).
% 34.24/4.80 cnf(c12, plain, ~X0(X1) | 'relation$uimage'(X1,X2) != X3 | ~in(X4,X3) | apply(X1,sK12(X1,X2,X4)) = X4, inference(clausification, [status(esa)], [d12_funct_1])).
% 34.24/4.80 cnf(c13, plain, ~X0(X1) | 'relation$uimage'(X1,X2) != X3 | ~in(X4,X3) | in(sK12(X1,X2,X4),X2), inference(clausification, [status(esa)], [d12_funct_1])).
% 34.24/4.80 cnf(c17, plain, ~function(X0) | ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d13_funct_1])).
% 34.24/4.80 cnf(c22, plain, ~X0(X1) | 'relation$uinverse$uimage'(X1,X2) != X3 | ~in(X4,X3) | in(apply(X1,X4),X2), inference(clausification, [status(esa)], [d13_funct_1])).
% 34.24/4.80 cnf(c27, plain, subset(X0,X1) | in(sK26(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 34.24/4.80 cnf(c28, plain, subset(X0,X1) | ~in(sK26(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 34.24/4.80 cnf(c70, plain, function(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.24/4.80 cnf(c71, plain, relation(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.24/4.80 cnf(c72, plain, ~subset('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.24/4.80 cnf(d0, plain, ~in(X0,'relation$uimage'(X1,X2)) | in(sK12(X1,X2,X0),X2) | ~'Ts6'(X1), inference(equality_resolution, [status(thm)], [c13])).
% 34.24/4.80 cnf(d1, plain, ~in(X0,'relation$uinverse$uimage'(X1,X2)) | in(apply(X1,X0),X2) | ~'Ts17'(X1), inference(equality_resolution, [status(thm)], [c22])).
% 34.24/4.80 cnf(d2, plain, in(apply(X0,sK12(X1,'relation$uinverse$uimage'(X0,X2),X3)),X2) | ~'Ts17'(X0) | ~in(X3,'relation$uimage'(X1,'relation$uinverse$uimage'(X0,X2))) | ~'Ts6'(X1), inference(resolution, [status(thm)], [d1,d0])).
% 34.24/4.80 cnf(d3, plain, apply(X0,sK12(X0,X1,X2)) = X2 | ~in(X2,'relation$uimage'(X0,X1)) | ~'Ts6'(X0), inference(equality_resolution, [status(thm)], [c12])).
% 34.24/4.80 cnf(d4, plain, apply(X0,sK12(X0,X1,sK26('relation$uimage'(X0,X1),X2))) = sK26('relation$uimage'(X0,X1),X2) | ~'Ts6'(X0) | subset('relation$uimage'(X0,X1),X2), inference(resolution, [status(thm)], [d3,c27])).
% 34.24/4.80 cnf(d5, plain, apply(sK64,sK12(sK64,'relation$uinverse$uimage'(sK64,sK63),sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63))) = sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63) | ~'Ts6'(sK64), inference(resolution, [status(thm)], [d4,c72])).
% 34.24/4.80 cnf(d6, plain, ~function(sK64) | 'Ts6'(sK64), inference(resolution, [status(thm)], [c6,c71])).
% 34.24/4.80 cnf(d7, plain, 'Ts6'(sK64), inference(resolution, [status(thm)], [c70,d6])).
% 34.24/4.80 cnf(d8, plain, apply(sK64,sK12(sK64,'relation$uinverse$uimage'(sK64,sK63),sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63))) = sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63), inference(resolution, [status(thm)], [d7,d5])).
% 34.24/4.80 cnf(d9, plain, in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),sK63) | ~in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),'relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63))) | ~'Ts6'(sK64) | ~'Ts17'(sK64), inference(superposition, [status(thm)], [d8,d2])).
% 34.24/4.80 cnf(d10, plain, ~in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),'relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63))) | in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),sK63) | ~'Ts17'(sK64), inference(resolution, [status(thm)], [d7,d9])).
% 34.24/4.80 cnf(d11, plain, ~function(sK64) | 'Ts17'(sK64), inference(resolution, [status(thm)], [c17,c71])).
% 34.24/4.80 cnf(d12, plain, 'Ts17'(sK64), inference(resolution, [status(thm)], [c70,d11])).
% 34.24/4.80 cnf(d13, plain, ~in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),'relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63))) | in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),sK63), inference(resolution, [status(thm)], [d12,d10])).
% 34.24/4.80 cnf(d14, plain, in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),sK63) | subset('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63), inference(resolution, [status(thm)], [d13,c27])).
% 34.24/4.80 cnf(d15, plain, in(sK26('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63),sK63), inference(resolution, [status(thm)], [c72,d14])).
% 34.24/4.80 cnf(d16, plain, subset('relation$uimage'(sK64,'relation$uinverse$uimage'(sK64,sK63)),sK63), inference(resolution, [status(thm)], [d15,c28])).
% 34.24/4.80 cnf(d17, plain, $false, inference(resolution, [status(thm)], [c72,d16])).
% 34.24/4.80 % SZS output end CNFRefutation for theBenchmark.p
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