%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 09:29:03 AM UTC 2026
% Result : Theorem 9.91s 6.79s
% Output : CNFRefutation 9.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Sat Sep 26 18:12:56 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.91/6.79 % SZS status Theorem for theBenchmark.p
% 9.91/6.79 % SZS output start CNFRefutation for theBenchmark.p
% 9.91/6.79 fof(reflexivity_of_reachable, axiom, ! [X0] : reachable(X0,X0)).
% 9.91/6.79 fof(transitivity_of_reachable, axiom, ! [X0] : ! [X1] : ! [X2] : (((reachable(X0,X1) & reachable(X1,X2)) => reachable(X0,X2)))).
% 9.91/6.79 fof(prove_this, conjecture, ? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => (! [X2] : ((reachable(X1,X2) => (p(X2) | ! [X3] : ((reachable(X2,X3) => q(X3)))))) <=> (! [X4] : ((reachable(X1,X4) => p(X4))) | ! [X4] : ((reachable(X1,X4) => q(X4)))))))))).
% 9.91/6.79 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => (! [X2] : ((reachable(X1,X2) => (p(X2) | ! [X3] : ((reachable(X2,X3) => q(X3)))))) <=> (! [X4] : ((reachable(X1,X4) => p(X4))) | ! [X4] : ((reachable(X1,X4) => q(X4))))))))), inference(negate_conjecture, [status(cth)], [prove_this])).
% 9.91/6.79 cnf(c0, plain, reachable(X0,X0), inference(clausification, [status(esa)], [reflexivity_of_reachable])).
% 9.91/6.79 cnf(c1, plain, ~reachable(X0,X1) | ~reachable(X2,X0) | reachable(X2,X1), inference(clausification, [status(esa)], [transitivity_of_reachable])).
% 9.91/6.79 cnf(c2, plain, ~reachable('initial$uworld',X0) | reachable(X0,sK7(X0)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c3, plain, ~reachable('initial$uworld',X0) | X1(sK7(X0)) | X2(sK7(X0)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c4, plain, ~reachable(X0,X1) | ~X2(X0) | p(X1) | ~reachable(X1,X3) | q(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c5, plain, ~X0(X1) | reachable(X1,sK10(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c6, plain, ~X0(X1) | ~q(sK10(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c7, plain, ~X0(X1) | reachable(X1,sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c8, plain, ~X0(X1) | ~p(sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c9, plain, ~X0(X1) | reachable(X1,sK12(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c10, plain, ~X0(X1) | reachable(sK12(X1),sK13(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c11, plain, ~X0(X1) | ~q(sK13(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c12, plain, ~X0(X1) | ~p(sK12(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(c13, plain, ~reachable(X0,X1) | ~X2(X0) | q(X1) | p(X3) | ~reachable(X0,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 9.91/6.79 cnf(d0, plain, ~'Ts4'(X0) | reachable(X1,sK11(X0)) | ~reachable(X1,X0), inference(resolution, [status(thm)], [c7,c1])).
% 9.91/6.79 cnf(d1, plain, ~'Ts4'(X0) | reachable(X1,sK10(X0)) | ~reachable(X1,X0), inference(resolution, [status(thm)], [c5,c1])).
% 9.91/6.79 cnf(d2, plain, ~'Ts4'(X0) | ~reachable(sK11(X0),X1) | ~'Ts4'(X0) | p(sK11(X0)) | q(X1), inference(resolution, [status(thm)], [c7,c4])).
% 9.91/6.79 cnf(d3, plain, ~'Ts4'(X0) | ~reachable(sK11(X0),X1) | ~'Ts4'(X0) | q(X1), inference(resolution, [status(thm)], [c8,d2])).
% 9.91/6.79 cnf(d4, plain, ~'Ts4'(X0) | q(sK10(X1)) | ~reachable(sK11(X0),X1) | ~'Ts4'(X1), inference(resolution, [status(thm)], [d3,d1])).
% 9.91/6.79 cnf(d5, plain, ~'Ts4'(X0) | ~reachable(sK11(X1),X0) | ~'Ts4'(X0) | ~'Ts4'(X1), inference(resolution, [status(thm)], [c6,d4])).
% 9.91/6.79 cnf(d6, plain, ~'Ts4'(X0) | ~'Ts4'(sK7(sK11(X0))) | ~reachable('initial$uworld',sK11(X0)), inference(resolution, [status(thm)], [d5,c2])).
% 9.91/6.79 cnf(d7, plain, ~'Ts5'(X0) | reachable(X1,sK13(X0)) | ~reachable(X1,sK12(X0)), inference(resolution, [status(thm)], [c10,c1])).
% 9.91/6.79 cnf(d8, plain, reachable(X0,sK13(X0)) | ~'Ts5'(X0) | ~'Ts5'(X0), inference(resolution, [status(thm)], [d7,c9])).
% 9.91/6.79 cnf(d9, plain, ~reachable(X0,X1) | ~'Ts5'(X0) | p(sK12(X0)) | q(X1) | ~'Ts5'(X0), inference(resolution, [status(thm)], [c13,c9])).
% 9.91/6.79 cnf(d10, plain, ~'Ts5'(X0) | ~reachable(X0,X1) | ~'Ts5'(X0) | q(X1), inference(resolution, [status(thm)], [c12,d9])).
% 9.91/6.79 cnf(d11, plain, ~'Ts5'(X0) | q(sK13(X0)) | ~'Ts5'(X0), inference(resolution, [status(thm)], [d10,d8])).
% 9.91/6.79 cnf(d12, plain, ~'Ts5'(X0) | ~'Ts5'(X0), inference(resolution, [status(thm)], [c11,d11])).
% 9.91/6.79 cnf(d13, plain, ~reachable('initial$uworld',X0) | 'Ts4'(sK7(X0)), inference(resolution, [status(thm)], [d12,c3])).
% 9.91/6.79 cnf(d14, plain, ~reachable('initial$uworld',sK11(X0)) | ~reachable('initial$uworld',sK11(X0)) | ~'Ts4'(X0), inference(resolution, [status(thm)], [d13,d6])).
% 9.91/6.79 cnf(d15, plain, ~'Ts4'(X0) | ~reachable('initial$uworld',X0) | ~'Ts4'(X0), inference(resolution, [status(thm)], [d14,d0])).
% 9.91/6.79 cnf(d16, plain, ~'Ts4'(sK7('initial$uworld')) | ~reachable('initial$uworld','initial$uworld'), inference(resolution, [status(thm)], [d15,c2])).
% 9.91/6.79 cnf(d17, plain, ~'Ts4'(sK7('initial$uworld')), inference(resolution, [status(thm)], [c0,d16])).
% 9.91/6.79 cnf(d18, plain, 'Ts5'(sK7('initial$uworld')) | 'Ts4'(sK7('initial$uworld')), inference(resolution, [status(thm)], [c3,c0])).
% 9.91/6.79 cnf(d19, plain, 'Ts4'(sK7('initial$uworld')), inference(resolution, [status(thm)], [d12,d18])).
% 9.91/6.79 cnf(d20, plain, $false, inference(resolution, [status(thm)], [d19,d17])).
% 9.91/6.79 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------