%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:18:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:40:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ p1(X,f(Y))| q1(f(X),Y)| q2(X,f(Y)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 (![Y]: (p1(a,Y) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (~ q2(X,f(Y)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ p2(X,f(Y))| q3(f(X),Y)| q4(X,f(Y)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (~ q3(X,g(Y)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (~ q4(f(f(X)),f(g(f(Y)))) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,negated_conjecture,(
% 0.13/0.38 (![X,Y]: (( ~ q1(X,f(Y))| p2(f(X),Y) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0,X1]: (~p1(X0,f(X1))|q1(f(X0),X1)|q2(X0,f(X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (p1(a,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1]: (~q2(X0,f(X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1]: (~p2(X0,f(X1))|q3(f(X0),X1)|q4(X0,f(X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![X0,X1]: (~q3(X0,g(X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1]: (~q4(f(f(X0)),f(g(f(X1)))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1]: (~q1(X0,f(X1))|p2(f(X0),X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1]: (~p1(X0,f(X1))|q1(f(X0),X1))),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f8,f10])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1]: (~p2(f(f(X0)),f(g(f(X1))))|q3(f(f(f(X0))),g(f(X1))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f11,f13])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (~p2(f(f(X0)),f(g(f(X1)))))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f16,f12])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1]: (~q1(f(X0),f(f(g(f(X1))))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f17,f14])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1]: (~p1(X0,f(f(f(g(f(X1)))))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f18,f15])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(resolution,[status(thm)],[f19,f9])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.039305 seconds
% 0.13/0.40 % CPU time: 0.109290 seconds
% 0.13/0.40 % Total memory used: 16.530 MB
% 0.13/0.40 % Net memory used: 15.982 MB
%------------------------------------------------------------------------------