%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO084+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 07:14:07 AM UTC 2026
% Result : Theorem 31.31s 5.32s
% Output : CNFRefutation 31.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO084+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 12:41:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.31/5.32 % SZS status Theorem for theBenchmark.p
% 31.31/5.32 % SZS output start CNFRefutation for theBenchmark.p
% 31.31/5.32 fof(part_of_defn, axiom, ! [X0] : ! [X1] : (('part$uof'(X1,X0) <=> ! [X2] : (('incident$uc'(X2,X1) => 'incident$uc'(X2,X0)))))).
% 31.31/5.32 fof(sum_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((X0 = sum(X1,X2) <=> ! [X3] : (('incident$uc'(X3,X0) <=> ('incident$uc'(X3,X1) | 'incident$uc'(X3,X2))))))).
% 31.31/5.32 fof(corollary_2_6_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('part$uof'(X0,X2) & ('part$uof'(X1,X2) & meet(X3,X0,X1))) => 'part$uof'(sum(X0,X1),X2)))).
% 31.31/5.32 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('part$uof'(X0,X2) & ('part$uof'(X1,X2) & meet(X3,X0,X1))) => 'part$uof'(sum(X0,X1),X2))), inference(negate_conjecture, [status(cth)], [corollary_2_6_2])).
% 31.31/5.32 cnf(c_0, plain, ~'part$uof'(X0,X1) | ~'incident$uc'(X2,X0) | 'incident$uc'(X2,X1), inference(clausification, [status(esa)], [part_of_defn])).
% 31.31/5.32 cnf(c_1, plain, 'part$uof'(X0,X1) | 'incident$uc'(sK3(X1,X0),X0), inference(clausification, [status(esa)], [part_of_defn])).
% 31.31/5.32 cnf(c_2, plain, 'part$uof'(X0,X1) | ~'incident$uc'(sK3(X1,X0),X1), inference(clausification, [status(esa)], [part_of_defn])).
% 31.31/5.32 cnf(c_3, plain, X0 != sum(X1,X2) | X3(X0,X1,X2), inference(clausification, [status(esa)], [sum_defn])).
% 31.31/5.32 cnf(c_5, plain, ~X0(X1,X2,X3) | ~'incident$uc'(X4,X1) | 'incident$uc'(X4,X2) | 'incident$uc'(X4,X3), inference(clausification, [status(esa)], [sum_defn])).
% 31.31/5.32 cnf(c_54, plain, 'part$uof'(sK63,sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.31/5.32 cnf(c_55, plain, 'part$uof'(sK64,sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.31/5.32 cnf(c_57, plain, ~'part$uof'(sum(sK63,sK64),sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.31/5.32 cnf(d0, plain, 'incident$uc'(X0,sK65) | ~'incident$uc'(X0,sK64), inference(resolution, [status(thm)], [c_55,c_0])).
% 31.31/5.32 cnf(d1, plain, 'incident$uc'(X0,sK65) | ~'incident$uc'(X0,sK63), inference(resolution, [status(thm)], [c_0,c_54])).
% 31.31/5.32 cnf(d2, plain, 'Ts4'(sum(X0,X1),X0,X1), inference(equality_resolution, [status(thm)], [c_3])).
% 31.31/5.32 cnf(d3, plain, 'incident$uc'(X0,X1) | 'incident$uc'(X0,X2) | ~'incident$uc'(X0,sum(X2,X1)), inference(resolution, [status(thm)], [c_5,d2])).
% 31.31/5.32 cnf(d4, plain, 'incident$uc'(sK3(X0,sum(X1,X2)),X1) | 'incident$uc'(sK3(X0,sum(X1,X2)),X2) | 'part$uof'(sum(X1,X2),X0), inference(resolution, [status(thm)], [d3,c_1])).
% 31.31/5.32 cnf(d5, plain, 'incident$uc'(sK3(X0,sum(sK63,X1)),X1) | 'part$uof'(sum(sK63,X1),X0) | 'incident$uc'(sK3(X0,sum(sK63,X1)),sK65), inference(resolution, [status(thm)], [d4,d1])).
% 31.31/5.32 cnf(d6, plain, 'incident$uc'(sK3(sK65,sum(sK63,X0)),X0) | 'part$uof'(sum(sK63,X0),sK65) | 'part$uof'(sum(sK63,X0),sK65), inference(resolution, [status(thm)], [d5,c_2])).
% 31.31/5.32 cnf(d7, plain, 'part$uof'(sum(sK63,sK64),sK65) | 'incident$uc'(sK3(sK65,sum(sK63,sK64)),sK65), inference(resolution, [status(thm)], [d6,d0])).
% 31.31/5.32 cnf(d8, plain, 'incident$uc'(sK3(sK65,sum(sK63,sK64)),sK65), inference(resolution, [status(thm)], [c_57,d7])).
% 31.31/5.32 cnf(d9, plain, 'part$uof'(sum(sK63,sK64),sK65), inference(resolution, [status(thm)], [d8,c_2])).
% 31.31/5.32 cnf(d10, plain, $false, inference(resolution, [status(thm)], [c_57,d9])).
% 31.31/5.32 % SZS output end CNFRefutation for theBenchmark.p
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