%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO093+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 : n005.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 07:14:09 AM UTC 2026
% Result : Theorem 20.37s 11.34s
% Output : CNFRefutation 20.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 12:42:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.37/11.34 % SZS status Theorem for theBenchmark.p
% 20.37/11.34 % SZS output start CNFRefutation for theBenchmark.p
% 20.37/11.34 fof(part_of_defn, axiom, ! [X0] : ! [X1] : (('part$uof'(X1,X0) <=> ! [X2] : (('incident$uc'(X2,X1) => 'incident$uc'(X2,X0)))))).
% 20.37/11.34 fof(sum_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((X0 = sum(X1,X2) <=> ! [X3] : (('incident$uc'(X3,X0) <=> ('incident$uc'(X3,X1) | 'incident$uc'(X3,X2))))))).
% 20.37/11.34 fof(c1, axiom, ! [X0] : ! [X1] : ((('part$uof'(X1,X0) & X1 != X0) => open(X1)))).
% 20.37/11.34 fof(proposition_2_14_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((open(X0) & ('part$uof'(X1,X0) & ('part$uof'(X2,X0) & meet(X3,X1,X2)))) => open(sum(X1,X2))))).
% 20.37/11.34 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((open(X0) & ('part$uof'(X1,X0) & ('part$uof'(X2,X0) & meet(X3,X1,X2)))) => open(sum(X1,X2)))), inference(negate_conjecture, [status(cth)], [proposition_2_14_2])).
% 20.37/11.34 cnf(c_0, plain, ~'part$uof'(X0,X1) | ~'incident$uc'(X2,X0) | 'incident$uc'(X2,X1), inference(clausification, [status(esa)], [part_of_defn])).
% 20.37/11.34 cnf(c_1, plain, 'part$uof'(X0,X1) | 'incident$uc'(sK3(X1,X0),X0), inference(clausification, [status(esa)], [part_of_defn])).
% 20.37/11.34 cnf(c_2, plain, 'part$uof'(X0,X1) | ~'incident$uc'(sK3(X1,X0),X1), inference(clausification, [status(esa)], [part_of_defn])).
% 20.37/11.34 cnf(c_3, plain, X0 != sum(X1,X2) | X3(X0,X1,X2), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_4, plain, X0 = sum(X1,X2) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_5, plain, ~X0(X1,X2,X3) | ~'incident$uc'(X4,X1) | 'incident$uc'(X4,X2) | 'incident$uc'(X4,X3), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_6, plain, ~X0(X1,X2,X3) | 'incident$uc'(X4,X1) | ~'incident$uc'(X4,X2), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_9, plain, X0(X1,X2,X3) | 'incident$uc'(sK9(X1,X2,X3),X1) | 'incident$uc'(sK9(X1,X2,X3),X2) | 'incident$uc'(sK9(X1,X2,X3),X3), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_12, plain, X0(X1,X2,X3) | ~'incident$uc'(sK9(X1,X2,X3),X3) | ~'incident$uc'(sK9(X1,X2,X3),X1), inference(clausification, [status(esa)], [sum_defn])).
% 20.37/11.34 cnf(c_40, plain, ~'part$uof'(X0,X1) | X0 = X1 | open(X0), inference(clausification, [status(esa)], [c1])).
% 20.37/11.34 cnf(c_54, plain, open(sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.37/11.34 cnf(c_55, plain, 'part$uof'(sK64,sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.37/11.34 cnf(c_56, plain, 'part$uof'(sK65,sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.37/11.34 cnf(c_58, plain, ~open(sum(sK64,sK65)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.37/11.34 cnf(d0, plain, 'incident$uc'(X0,sK63) | ~'incident$uc'(X0,sK64), inference(resolution, [status(thm)], [c_55,c_0])).
% 20.37/11.34 cnf(d1, plain, 'incident$uc'(sK9(X0,sK64,X1),X1) | 'incident$uc'(sK9(X0,sK64,X1),X0) | 'Ts4'(X0,sK64,X1) | 'incident$uc'(sK9(X0,sK64,X1),sK63), inference(resolution, [status(thm)], [c_9,d0])).
% 20.37/11.34 cnf(d2, plain, 'incident$uc'(sK9(X0,sK64,X0),X0) | 'incident$uc'(sK9(X0,sK64,X0),sK63) | 'Ts4'(X0,sK64,X0), inference(factoring, [status(thm)], [d1])).
% 20.37/11.34 cnf(d3, plain, 'incident$uc'(sK9(sK63,sK64,sK63),sK63) | 'Ts4'(sK63,sK64,sK63), inference(factoring, [status(thm)], [d2])).
% 20.37/11.34 cnf(d4, plain, 'Ts4'(sK63,sK64,sK63) | ~'incident$uc'(sK9(sK63,sK64,sK63),sK63) | 'Ts4'(sK63,sK64,sK63), inference(resolution, [status(thm)], [d3,c_12])).
% 20.37/11.34 cnf(d5, plain, 'Ts4'(sK63,sK64,sK63) | 'Ts4'(sK63,sK64,sK63), inference(resolution, [status(thm)], [d4,d3])).
% 20.37/11.34 cnf(d6, plain, sK63 = sum(sK64,sK63), inference(resolution, [status(thm)], [d5,c_4])).
% 20.37/11.34 cnf(d7, plain, 'Ts4'(sum(X0,X1),X0,X1), inference(equality_resolution, [status(thm)], [c_3])).
% 20.37/11.34 cnf(d8, plain, ~'incident$uc'(X0,X1) | 'incident$uc'(X0,sum(X1,X2)), inference(resolution, [status(thm)], [d7,c_6])).
% 20.37/11.34 cnf(d9, plain, ~'incident$uc'(sK3(sum(X0,X1),X2),X0) | 'part$uof'(X2,sum(X0,X1)), inference(resolution, [status(thm)], [d8,c_2])).
% 20.37/11.34 cnf(d10, plain, ~'incident$uc'(sK3(sK63,X0),sK64) | 'part$uof'(X0,sum(sK64,sK63)), inference(superposition, [status(thm)], [d6,d9])).
% 20.37/11.34 cnf(d11, plain, ~'incident$uc'(sK3(sK63,X0),sK64) | 'part$uof'(X0,sK63), inference(demodulation, [status(thm)], [d10,d6])).
% 20.37/11.34 cnf(d12, plain, 'incident$uc'(X0,X1) | 'incident$uc'(X0,X2) | ~'incident$uc'(X0,sum(X2,X1)), inference(resolution, [status(thm)], [d7,c_5])).
% 20.37/11.34 cnf(d13, plain, 'incident$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)], [d12,c_1])).
% 20.37/11.34 cnf(d14, plain, 'incident$uc'(X0,sK63) | ~'incident$uc'(X0,sK65), inference(resolution, [status(thm)], [c_56,c_0])).
% 20.37/11.34 cnf(d15, plain, 'incident$uc'(sK9(X0,sK65,X1),X1) | 'incident$uc'(sK9(X0,sK65,X1),X0) | 'Ts4'(X0,sK65,X1) | 'incident$uc'(sK9(X0,sK65,X1),sK63), inference(resolution, [status(thm)], [c_9,d14])).
% 20.37/11.34 cnf(d16, plain, 'incident$uc'(sK9(X0,sK65,X0),X0) | 'incident$uc'(sK9(X0,sK65,X0),sK63) | 'Ts4'(X0,sK65,X0), inference(factoring, [status(thm)], [d15])).
% 20.37/11.34 cnf(d17, plain, 'incident$uc'(sK9(sK63,sK65,sK63),sK63) | 'Ts4'(sK63,sK65,sK63), inference(factoring, [status(thm)], [d16])).
% 20.37/11.34 cnf(d18, plain, 'Ts4'(sK63,sK65,sK63) | ~'incident$uc'(sK9(sK63,sK65,sK63),sK63) | 'Ts4'(sK63,sK65,sK63), inference(resolution, [status(thm)], [d17,c_12])).
% 20.37/11.34 cnf(d19, plain, 'Ts4'(sK63,sK65,sK63) | 'Ts4'(sK63,sK65,sK63), inference(resolution, [status(thm)], [d18,d17])).
% 20.37/11.34 cnf(d20, plain, sK63 = sum(sK65,sK63), inference(resolution, [status(thm)], [d19,c_4])).
% 20.37/11.34 cnf(d21, plain, ~'incident$uc'(sK3(sK63,X0),sK65) | 'part$uof'(X0,sum(sK65,sK63)), inference(superposition, [status(thm)], [d20,d9])).
% 20.37/11.34 cnf(d22, plain, ~'incident$uc'(sK3(sK63,X0),sK65) | 'part$uof'(X0,sK63), inference(demodulation, [status(thm)], [d21,d20])).
% 20.37/11.34 cnf(d23, plain, 'part$uof'(sum(X0,sK65),sK63) | 'incident$uc'(sK3(sK63,sum(X0,sK65)),X0) | 'part$uof'(sum(X0,sK65),sK63), inference(resolution, [status(thm)], [d22,d13])).
% 20.37/11.34 cnf(d24, plain, 'part$uof'(sum(sK64,sK65),sK63) | 'part$uof'(sum(sK64,sK65),sK63), inference(resolution, [status(thm)], [d23,d11])).
% 20.37/11.34 cnf(d25, plain, sum(sK64,sK65) = sK63 | open(sum(sK64,sK65)), inference(resolution, [status(thm)], [d24,c_40])).
% 20.37/11.34 cnf(d26, plain, sum(sK64,sK65) = sK63, inference(resolution, [status(thm)], [c_58,d25])).
% 20.37/11.34 cnf(d27, plain, ~open(sK63), inference(demodulation, [status(thm)], [c_58,d26])).
% 20.37/11.34 cnf(d28, plain, $false, inference(resolution, [status(thm)], [c_54,d27])).
% 20.37/11.34 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------