%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 03:20:08 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 % Computer : n014.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 11:08:06 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.49 % Drodi V4.1.1
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.51 fof(f1,negated_conjecture,(
% 0.21/0.51 (![X0]: (p2(X0,X0) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f2,negated_conjecture,(
% 0.21/0.51 (![X15]: (p3(X15,X15) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f3,negated_conjecture,(
% 0.21/0.51 p2(c10,c13) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f6,negated_conjecture,(
% 0.21/0.51 (![X1,X2,X0]: (( p2(X1,X2)| ~ p2(X0,X1)| ~ p2(X0,X2) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f7,negated_conjecture,(
% 0.21/0.51 (![X16,X17,X15]: (( p3(X16,X17)| ~ p3(X15,X16)| ~ p3(X15,X17) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f8,negated_conjecture,(
% 0.21/0.51 p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f9,negated_conjecture,(
% 0.21/0.51 ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f10,negated_conjecture,(
% 0.21/0.51 (![X3,X4,X5,X6]: (( p2(f5(X3,X4),f5(X5,X6))| ~ p2(X3,X5)| ~ p2(X4,X6) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f11,negated_conjecture,(
% 0.21/0.51 (![X11,X12,X13,X14]: (( p2(f8(X11,X12),f8(X13,X14))| ~ p2(X12,X14)| ~ p3(X11,X13) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f12,negated_conjecture,(
% 0.21/0.51 (![X18,X19,X20,X21,X22,X23]: (( p3(f4(X18,X19,X20),f4(X21,X22,X23))| ~ p2(X19,X22)| ~ p3(X20,X23)| ~ p2(X18,X21) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f13,plain,(
% 0.21/0.51 ![X0]: (p2(X0,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.21/0.51 fof(f14,plain,(
% 0.21/0.51 ![X0]: (p3(X0,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.21/0.51 fof(f15,plain,(
% 0.21/0.51 p2(c10,c13)),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f3])).
% 0.21/0.51 fof(f18,plain,(
% 0.21/0.51 ![X2,X0]: ((![X1]: (p2(X1,X2)|~p2(X0,X1)))|~p2(X0,X2))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f6])).
% 0.21/0.51 fof(f19,plain,(
% 0.21/0.51 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f18])).
% 0.21/0.51 fof(f20,plain,(
% 0.21/0.51 ![X17,X15]: ((![X16]: (p3(X16,X17)|~p3(X15,X16)))|~p3(X15,X17))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f7])).
% 0.21/0.51 fof(f21,plain,(
% 0.21/0.51 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f20])).
% 0.21/0.51 fof(f22,plain,(
% 0.21/0.51 p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.21/0.51 fof(f23,plain,(
% 0.21/0.51 ~p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f9])).
% 0.21/0.51 fof(f24,plain,(
% 0.21/0.51 ![X4,X6]: ((![X3,X5]: (p2(f5(X3,X4),f5(X5,X6))|~p2(X3,X5)))|~p2(X4,X6))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f10])).
% 0.21/0.51 fof(f25,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (p2(f5(X0,X1),f5(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f24])).
% 0.21/0.51 fof(f26,plain,(
% 0.21/0.51 ![X11,X13]: ((![X12,X14]: (p2(f8(X11,X12),f8(X13,X14))|~p2(X12,X14)))|~p3(X11,X13))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f11])).
% 0.21/0.51 fof(f27,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (p2(f8(X0,X1),f8(X2,X3))|~p2(X1,X3)|~p3(X0,X2))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f26])).
% 0.21/0.51 fof(f28,plain,(
% 0.21/0.51 ![X18,X21]: ((![X20,X23]: ((![X19,X22]: (p3(f4(X18,X19,X20),f4(X21,X22,X23))|~p2(X19,X22)))|~p3(X20,X23)))|~p2(X18,X21))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f12])).
% 0.21/0.51 fof(f29,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4,X5]: (p3(f4(X0,X1,X2),f4(X3,X4,X5))|~p2(X1,X4)|~p3(X2,X5)|~p2(X0,X3))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f28])).
% 0.21/0.51 fof(f30,plain,(
% 0.21/0.51 ![X0]: (~p3(X0,c9)|~p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)))),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f21])).
% 0.21/0.51 fof(f31,plain,(
% 0.21/0.51 ![X0,X1]: (~p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))|~p3(X1,X0)|~p3(X1,c9))),
% 0.21/0.51 inference(resolution,[status(thm)],[f30,f21])).
% 0.21/0.51 fof(f34,plain,(
% 0.21/0.51 ![X0]: (~p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))|~p3(c9,X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f31,f14])).
% 0.21/0.51 fof(f37,plain,(
% 0.21/0.51 ~p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))),
% 0.21/0.51 inference(resolution,[status(thm)],[f34,f22])).
% 0.21/0.51 fof(f48,plain,(
% 0.21/0.51 ~p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))|~p3(c11,c11)|~p2(c13,c10)),
% 0.21/0.51 inference(resolution,[status(thm)],[f37,f29])).
% 0.21/0.51 fof(f50,plain,(
% 0.21/0.51 ~p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))|~p2(c13,c10)),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f48,f14])).
% 0.21/0.51 fof(f51,plain,(
% 0.21/0.51 ![X0]: (~p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))|~p2(X0,c13)|~p2(X0,c10))),
% 0.21/0.51 inference(resolution,[status(thm)],[f50,f19])).
% 0.21/0.51 fof(f52,plain,(
% 0.21/0.51 ![X0]: (~p2(X0,c13)|~p2(X0,c10)|~p2(f8(c11,c13),f8(c11,c10))|~p2(f6(f7(c12)),f6(f7(c12))))),
% 0.21/0.51 inference(resolution,[status(thm)],[f51,f25])).
% 0.21/0.51 fof(f54,plain,(
% 0.21/0.51 ![X0]: (~p2(X0,c13)|~p2(X0,c10)|~p2(f8(c11,c13),f8(c11,c10)))),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f52,f13])).
% 0.21/0.51 fof(f55,plain,(
% 0.21/0.51 ![X0]: (~p2(X0,c13)|~p2(X0,c10)|~p2(c13,c10)|~p3(c11,c11))),
% 0.21/0.51 inference(resolution,[status(thm)],[f54,f27])).
% 0.21/0.51 fof(f57,plain,(
% 0.21/0.51 ![X0]: (~p2(X0,c13)|~p2(X0,c10)|~p3(c11,c11))),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f55,f19])).
% 0.21/0.51 fof(f58,plain,(
% 0.21/0.51 ![X0]: (~p2(X0,c13)|~p2(X0,c10))),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f57,f14])).
% 0.21/0.51 fof(f60,plain,(
% 0.21/0.51 ~p2(c10,c13)),
% 0.21/0.51 inference(resolution,[status(thm)],[f58,f13])).
% 0.21/0.51 fof(f61,plain,(
% 0.21/0.51 $false),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f60,f15])).
% 0.21/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.55 % Elapsed time: 0.068894 seconds
% 0.21/0.55 % CPU time: 0.098436 seconds
% 0.21/0.55 % Total memory used: 3.670 MB
% 0.21/0.55 % Net memory used: 3.634 MB
%------------------------------------------------------------------------------