%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET800+4 : 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 : n004.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 08:33:15 AM UTC 2026
% Result : Theorem 15.97s 4.30s
% Output : CNFRefutation 15.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET800+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 : Sat Sep 26 08:16:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.97/4.30 % SZS status Theorem for theBenchmark.p
% 15.97/4.30 % SZS output start CNFRefutation for theBenchmark.p
% 15.97/4.30 fof(subset, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((member(X2,X0) => member(X2,X1)))))).
% 15.97/4.30 fof(lower_bound, axiom, ! [X0] : ! [X1] : ! [X2] : (('lower$ubound'(X2,X0,X1) <=> ! [X3] : ((member(X3,X1) => apply(X0,X2,X3)))))).
% 15.97/4.30 fof(greatest_lower_bound, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('greatest$ulower$ubound'(X0,X1,X2,X3) <=> (member(X0,X1) & ('lower$ubound'(X0,X2,X1) & ! [X4] : (((member(X4,X3) & 'lower$ubound'(X4,X2,X1)) => apply(X2,X4,X0)))))))).
% 15.97/4.30 fof(thIV12, conjecture, ! [X0] : ! [X1] : ((order(X0,X1) => ! [X2] : ! [X3] : (((subset(X2,X1) & (subset(X3,X1) & subset(X2,X3))) => ! [X4] : ! [X5] : ((('greatest$ulower$ubound'(X4,X2,X0,X1) & 'greatest$ulower$ubound'(X5,X3,X0,X1)) => apply(X0,X5,X4)))))))).
% 15.97/4.30 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((order(X0,X1) => ! [X2] : ! [X3] : (((subset(X2,X1) & (subset(X3,X1) & subset(X2,X3))) => ! [X4] : ! [X5] : ((('greatest$ulower$ubound'(X4,X2,X0,X1) & 'greatest$ulower$ubound'(X5,X3,X0,X1)) => apply(X0,X5,X4))))))), inference(negate_conjecture, [status(cth)], [thIV12])).
% 15.97/4.30 cnf(c0, plain, ~subset(X0,X1) | ~member(X2,X0) | member(X2,X1), inference(clausification, [status(esa)], [subset])).
% 15.97/4.30 cnf(c60, plain, ~'lower$ubound'(X0,X1,X2) | ~member(X3,X2) | apply(X1,X0,X3), inference(clausification, [status(esa)], [lower_bound])).
% 15.97/4.30 cnf(c93, plain, ~'greatest$ulower$ubound'(X0,X1,X2,X3) | X4(X0,X3,X2,X1), inference(clausification, [status(esa)], [greatest_lower_bound])).
% 15.97/4.30 cnf(c95, plain, ~X0(X1,X2,X3,X4) | member(X1,X4), inference(clausification, [status(esa)], [greatest_lower_bound])).
% 15.97/4.30 cnf(c96, plain, ~X0(X1,X2,X3,X4) | 'lower$ubound'(X1,X3,X4), inference(clausification, [status(esa)], [greatest_lower_bound])).
% 15.97/4.30 cnf(c104, plain, subset(sK103,sK104), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/4.30 cnf(c105, plain, 'greatest$ulower$ubound'(sK105,sK103,sK101,sK102), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/4.30 cnf(c106, plain, 'greatest$ulower$ubound'(sK106,sK104,sK101,sK102), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/4.30 cnf(c107, plain, ~apply(sK101,sK106,sK105), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.97/4.30 cnf(d0, plain, 'Ts94'(sK106,sK102,sK101,sK104), inference(resolution, [status(thm)], [c93,c106])).
% 15.97/4.30 cnf(d1, plain, 'lower$ubound'(sK106,sK101,sK104), inference(resolution, [status(thm)], [c96,d0])).
% 15.97/4.30 cnf(d2, plain, ~member(X0,sK104) | apply(sK101,sK106,X0), inference(resolution, [status(thm)], [d1,c60])).
% 15.97/4.30 cnf(d3, plain, ~member(sK105,sK104), inference(resolution, [status(thm)], [d2,c107])).
% 15.97/4.30 cnf(d4, plain, 'Ts94'(sK105,sK102,sK101,sK103), inference(resolution, [status(thm)], [c93,c105])).
% 15.97/4.30 cnf(d5, plain, member(sK105,sK103), inference(resolution, [status(thm)], [c95,d4])).
% 15.97/4.30 cnf(d6, plain, ~subset(sK103,X0) | member(sK105,X0), inference(resolution, [status(thm)], [d5,c0])).
% 15.97/4.30 cnf(d7, plain, member(sK105,sK104), inference(resolution, [status(thm)], [d6,c104])).
% 15.97/4.30 cnf(d8, plain, $false, inference(resolution, [status(thm)], [d7,d3])).
% 15.97/4.30 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------