%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 03:18:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:45:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,negated_conjecture,(
% 0.13/0.39 ~ p_1_2(a,a) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X_1,X_2]: (( p_1_2(X_1,X_2)| ~ q_2_2(X_1,X_2)| ~ q_1_1(X_1,X_2) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (![X_1,X_2]: (( q_1_2(X_1,X_2)| ~ p_2_2(X_1,X_2)| ~ q_1_1(X_1,X_2) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![X_1,X_2]: (( q_2_2(X_1,X_2)| ~ q_1_2(X_1,X_2) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,axiom,(
% 0.13/0.39 (![X_1,X_2]: (( q_1_1(X_1,X_2)| ~ nq_1(X_1)| ~ nq_2(X_2) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,axiom,(
% 0.13/0.39 (![X_1,X_2]: (( p_2_2(X_1,X_2)| ~ nq_1(X_1)| ~ nq_2(X_2) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,axiom,(
% 0.13/0.39 nq_1(a) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,axiom,(
% 0.13/0.39 nq_2(a) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ~p_1_2(a,a)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (p_1_2(X0,X1)|~q_2_2(X0,X1)|~q_1_1(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1]: (q_1_2(X0,X1)|~p_2_2(X0,X1)|~q_1_1(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0,X1]: (q_2_2(X0,X1)|~q_1_2(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X_2]: ((![X_1]: (q_1_1(X_1,X_2)|~nq_1(X_1)))|~nq_2(X_2))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1]: (q_1_1(X0,X1)|~nq_1(X0)|~nq_2(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X_2]: ((![X_1]: (p_2_2(X_1,X_2)|~nq_1(X_1)))|~nq_2(X_2))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f12])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X0,X1]: (p_2_2(X0,X1)|~nq_1(X0)|~nq_2(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 nq_1(a)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 nq_2(a)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![X0,X1]: (q_1_2(X0,X1)|~p_2_2(X0,X1)|~nq_1(X0)|~nq_2(X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f30])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X0,X1]: (q_1_2(X0,X1)|~nq_1(X0)|~nq_2(X1))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f40,f32])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 ![X0]: (q_1_2(X0,a)|~nq_1(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f41,f37])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 q_1_2(a,a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f45,f35])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 q_2_2(a,a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f57,f26])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 p_1_2(a,a)|~q_1_1(a,a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f60,f20])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ~q_1_1(a,a)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f68,f18])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 ~nq_1(a)|~nq_2(a)),
% 0.13/0.39 inference(resolution,[status(thm)],[f69,f30])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ~nq_2(a)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f70,f35])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f71,f37])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.045919 seconds
% 0.13/0.41 % CPU time: 0.128677 seconds
% 0.13/0.41 % Total memory used: 55.541 MB
% 0.13/0.41 % Net memory used: 55.161 MB
%------------------------------------------------------------------------------