%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 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 09:29:03 AM UTC 2026
% Result : Theorem 11.25s 8.01s
% Output : CNFRefutation 11.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n004.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 18:13:28 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.25/8.01 % SZS status Theorem for theBenchmark.p
% 11.25/8.01 % SZS output start CNFRefutation for theBenchmark.p
% 11.25/8.01 fof(reflexivity_of_reachable, axiom, ! [X0] : reachable(X0,X0)).
% 11.25/8.01 fof(transitivity_of_reachable, axiom, ! [X0] : ! [X1] : ! [X2] : (((reachable(X0,X1) & reachable(X1,X2)) => reachable(X0,X2)))).
% 11.25/8.01 fof(prove_this, conjecture, (? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => p(X1))))) <=> ? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => ? [X2] : ((reachable(X1,X2) & ! [X3] : ((reachable(X2,X3) => p(X3))))))))))).
% 11.25/8.01 fof(negated_conjecture, negated_conjecture, ~((? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => p(X1))))) <=> ? [X0] : ((reachable('initial$uworld',X0) & ! [X1] : ((reachable(X0,X1) => ? [X2] : ((reachable(X1,X2) & ! [X3] : ((reachable(X2,X3) => p(X3))))))))))), inference(negate_conjecture, [status(cth)], [prove_this])).
% 11.25/8.01 cnf(c0, plain, reachable(X0,X0), inference(clausification, [status(esa)], [reflexivity_of_reachable])).
% 11.25/8.01 cnf(c1, plain, ~reachable(X0,X1) | ~reachable(X1,X2) | reachable(X0,X2), inference(clausification, [status(esa)], [transitivity_of_reachable])).
% 11.25/8.01 cnf(c4, plain, reachable('initial$uworld',sK5) | X0, inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c7, plain, ~reachable(sK5,X0) | p(X0) | X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c8, plain, ~X0 | ~reachable('initial$uworld',X1) | reachable(X1,sK8(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c9, plain, ~X0 | ~reachable('initial$uworld',X1) | ~p(sK8(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c11, plain, ~X0 | reachable('initial$uworld',sK9), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c12, plain, ~X0 | ~reachable(sK9,X1) | reachable(X1,sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c13, plain, ~X0 | ~reachable(sK9,X1) | ~reachable(sK11(X1),X2) | p(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c14, plain, X0 | ~reachable('initial$uworld',X1) | reachable(X1,sK14(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c15, plain, X0 | ~reachable('initial$uworld',X1) | ~reachable(sK14(X1),X2) | reachable(X2,sK16(X2)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(c16, plain, X0 | ~reachable('initial$uworld',X1) | ~reachable(sK14(X1),X2) | ~p(sK16(X2)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.25/8.01 cnf(d0, plain, ~reachable('initial$uworld',X0) | ~p(sK16(sK14(X0))) | 'Ts4', inference(resolution, [status(thm)], [c16,c0])).
% 11.25/8.01 cnf(d1, plain, ~reachable(sK9,X0) | ~'Ts4' | reachable(X1,sK11(X0)) | ~reachable(X1,X0), inference(resolution, [status(thm)], [c12,c1])).
% 11.25/8.01 cnf(d2, plain, ~reachable(sK9,X0) | p(sK8(sK11(X0))) | ~'Ts4' | ~reachable('initial$uworld',sK11(X0)) | ~'Ts4', inference(resolution, [status(thm)], [c13,c8])).
% 11.25/8.01 cnf(d3, plain, ~reachable(sK9,X0) | p(sK8(sK11(X0))) | ~'Ts4' | ~reachable('initial$uworld',X0) | ~reachable(sK9,X0) | ~'Ts4', inference(resolution, [status(thm)], [d2,d1])).
% 11.25/8.01 cnf(d4, plain, ~reachable('initial$uworld',X0) | ~reachable(sK9,X0) | ~'Ts4' | ~reachable('initial$uworld',sK11(X0)) | ~'Ts4', inference(resolution, [status(thm)], [d3,c9])).
% 11.25/8.01 cnf(d5, plain, ~reachable('initial$uworld',X0) | ~reachable(sK9,X0) | ~'Ts4' | ~reachable('initial$uworld',X0) | ~reachable(sK9,X0) | ~'Ts4', inference(resolution, [status(thm)], [d4,d1])).
% 11.25/8.01 cnf(d6, plain, ~reachable('initial$uworld',sK9) | ~'Ts4', inference(resolution, [status(thm)], [d5,c0])).
% 11.25/8.01 cnf(d7, plain, ~'Ts4' | ~'Ts4', inference(resolution, [status(thm)], [d6,c11])).
% 11.25/8.01 cnf(d8, plain, ~reachable('initial$uworld',X0) | ~p(sK16(sK14(X0))), inference(resolution, [status(thm)], [d7,d0])).
% 11.25/8.01 cnf(d9, plain, reachable(X0,sK14(X0)) | ~reachable('initial$uworld',X0), inference(resolution, [status(thm)], [d7,c14])).
% 11.25/8.01 cnf(d10, plain, ~reachable(sK5,X0) | p(X0), inference(resolution, [status(thm)], [d7,c7])).
% 11.25/8.01 cnf(d11, plain, reachable(sK14(X0),sK16(sK14(X0))) | ~reachable('initial$uworld',X0) | 'Ts4', inference(resolution, [status(thm)], [c15,c0])).
% 11.25/8.01 cnf(d12, plain, ~reachable('initial$uworld',X0) | 'Ts4' | reachable(X1,sK16(sK14(X0))) | ~reachable(X1,sK14(X0)), inference(resolution, [status(thm)], [d11,c1])).
% 11.25/8.01 cnf(d13, plain, ~reachable(X0,sK14(X1)) | reachable(X0,sK16(sK14(X1))) | ~reachable('initial$uworld',X1), inference(resolution, [status(thm)], [d7,d12])).
% 11.25/8.01 cnf(d14, plain, ~reachable(sK5,sK14(X0)) | ~reachable('initial$uworld',X0) | p(sK16(sK14(X0))), inference(resolution, [status(thm)], [d13,d10])).
% 11.25/8.01 cnf(d15, plain, ~reachable('initial$uworld',sK5) | p(sK16(sK14(sK5))) | ~reachable('initial$uworld',sK5), inference(resolution, [status(thm)], [d14,d9])).
% 11.25/8.01 cnf(d16, plain, reachable('initial$uworld',sK5), inference(resolution, [status(thm)], [d7,c4])).
% 11.25/8.01 cnf(d17, plain, p(sK16(sK14(sK5))), inference(resolution, [status(thm)], [d16,d15])).
% 11.25/8.01 cnf(d18, plain, ~reachable('initial$uworld',sK5), inference(resolution, [status(thm)], [d17,d8])).
% 11.25/8.01 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d16,d18])).
% 11.25/8.01 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------