%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:18:54 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n010.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Mon Sep 21 10:42:29 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.53 % Drodi V4.1.1
% 0.10/0.56 % Refutation found
% 0.10/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.56 fof(f1,axiom,(
% 0.10/0.56 (![X,Y]: (( ~ big_f(X,f(Y))| X = Y ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f2,axiom,(
% 0.10/0.56 (![X,Y]: (( X != Y| big_f(X,f(Y)) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f3,negated_conjecture,(
% 0.10/0.56 (![X,Y]: (( ~ big_f(X,a)| ~ big_f(X,Y)| big_f(g(X,Y),Y) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f4,negated_conjecture,(
% 0.10/0.56 (![X,Y,Z]: (( ~ big_f(X,a)| ~ big_f(X,Y)| ~ big_f(Z,g(X,Y))| ~ big_f(Z,Y) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f5,negated_conjecture,(
% 0.10/0.56 (![X]: (( big_f(X,h(X))| big_f(X,a) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f6,negated_conjecture,(
% 0.10/0.56 (![X,Y]: (( ~ big_f(X,h(Y))| big_f(i(Y,X),X)| big_f(Y,a) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f7,negated_conjecture,(
% 0.10/0.56 (![X,Y]: (( big_f(X,a)| big_f(i(X,Y),h(X))| ~ big_f(Y,h(X)) ) ))),
% 0.10/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.56 fof(f8,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(X0,f(X1))|X0=X1)),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.56 fof(f9,plain,(
% 0.10/0.56 ![X0,X1]: (~X0=X1|big_f(X0,f(X1)))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.56 fof(f10,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(X0,a)|~big_f(X0,X1)|big_f(g(X0,X1),X1))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.56 fof(f11,plain,(
% 0.10/0.56 ![Y,Z]: ((![X]: ((~big_f(X,a)|~big_f(X,Y))|~big_f(Z,g(X,Y))))|~big_f(Z,Y))),
% 0.10/0.56 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.56 fof(f12,plain,(
% 0.10/0.56 ![X0,X1,X2]: (~big_f(X0,a)|~big_f(X0,X1)|~big_f(X2,g(X0,X1))|~big_f(X2,X1))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.56 fof(f13,plain,(
% 0.10/0.56 ![X0]: (big_f(X0,h(X0))|big_f(X0,a))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.56 fof(f14,plain,(
% 0.10/0.56 ![Y]: ((![X]: (~big_f(X,h(Y))|big_f(i(Y,X),X)))|big_f(Y,a))),
% 0.10/0.56 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.56 fof(f15,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(X0,h(X1))|big_f(i(X1,X0),X0)|big_f(X1,a))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.56 fof(f16,plain,(
% 0.10/0.56 ![X0,X1]: (big_f(X0,a)|big_f(i(X0,X1),h(X0))|~big_f(X1,h(X0)))),
% 0.10/0.56 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.56 fof(f17,plain,(
% 0.10/0.56 ![X0]: (big_f(X0,f(X0)))),
% 0.10/0.56 inference(destructive_equality_resolution,[status(thm)],[f9])).
% 0.10/0.56 fof(f18,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(a,h(X0))|big_f(X0,a)|~big_f(i(X0,a),X1)|big_f(g(i(X0,a),X1),X1))),
% 0.10/0.56 inference(resolution,[status(thm)],[f15,f10])).
% 0.10/0.56 fof(f19,plain,(
% 0.10/0.56 ![X0,X1,X2]: (~big_f(i(X0,a),X1)|~big_f(X2,g(i(X0,a),X1))|~big_f(X2,X1)|~big_f(a,h(X0))|big_f(X0,a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f12,f15])).
% 0.10/0.56 fof(f20,plain,(
% 0.10/0.56 ![X0]: (big_f(a,a)|~big_f(i(a,a),X0)|big_f(g(i(a,a),X0),X0)|big_f(a,a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f18,f13])).
% 0.10/0.56 fof(f21,plain,(
% 0.10/0.56 ![X0]: (big_f(a,a)|~big_f(i(a,a),X0)|big_f(g(i(a,a),X0),X0))),
% 0.10/0.56 inference(duplicate_literals_removal,[status(thm)],[f20])).
% 0.10/0.56 fof(f24,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(i(a,a),X0)|~big_f(X1,g(i(a,a),X0))|~big_f(X1,X0)|big_f(a,a)|big_f(a,a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f19,f13])).
% 0.10/0.56 fof(f25,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(i(a,a),X0)|~big_f(X1,g(i(a,a),X0))|~big_f(X1,X0)|big_f(a,a))),
% 0.10/0.56 inference(duplicate_literals_removal,[status(thm)],[f24])).
% 0.10/0.56 fof(f27,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(i(a,a),X0)|~big_f(i(X1,g(i(a,a),X0)),X0)|big_f(a,a)|~big_f(g(i(a,a),X0),h(X1))|big_f(X1,a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f25,f15])).
% 0.10/0.56 fof(f69,plain,(
% 0.10/0.56 ![X0]: (~big_f(i(a,a),h(X0))|big_f(a,a)|~big_f(g(i(a,a),h(X0)),h(X0))|big_f(X0,a)|big_f(X0,a)|~big_f(g(i(a,a),h(X0)),h(X0)))),
% 0.10/0.56 inference(resolution,[status(thm)],[f27,f16])).
% 0.10/0.56 fof(f70,plain,(
% 0.10/0.56 ![X0]: (~big_f(i(a,a),h(X0))|big_f(a,a)|~big_f(g(i(a,a),h(X0)),h(X0))|big_f(X0,a))),
% 0.10/0.56 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.10/0.56 fof(f71,plain,(
% 0.10/0.56 ![X0]: (~big_f(i(a,a),h(X0))|big_f(a,a)|big_f(X0,a))),
% 0.10/0.56 inference(forward_subsumption_resolution,[status(thm)],[f70,f21])).
% 0.10/0.56 fof(f79,plain,(
% 0.10/0.56 big_f(a,a)|big_f(a,a)|big_f(a,a)|~big_f(a,h(a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f71,f16])).
% 0.10/0.56 fof(f81,plain,(
% 0.10/0.56 big_f(a,a)|~big_f(a,h(a))),
% 0.10/0.56 inference(duplicate_literals_removal,[status(thm)],[f79])).
% 0.10/0.56 fof(f82,plain,(
% 0.10/0.56 big_f(a,a)),
% 0.10/0.56 inference(forward_subsumption_resolution,[status(thm)],[f81,f13])).
% 0.10/0.56 fof(f84,plain,(
% 0.10/0.56 ![X0,X1]: (~big_f(a,X0)|~big_f(X1,g(a,X0))|~big_f(X1,X0))),
% 0.10/0.56 inference(resolution,[status(thm)],[f82,f12])).
% 0.10/0.56 fof(f85,plain,(
% 0.10/0.56 ![X0]: (~big_f(a,X0)|big_f(g(a,X0),X0))),
% 0.10/0.56 inference(resolution,[status(thm)],[f82,f10])).
% 0.10/0.56 fof(f87,plain,(
% 0.10/0.56 big_f(g(a,f(a)),f(a))),
% 0.10/0.56 inference(resolution,[status(thm)],[f85,f17])).
% 0.10/0.56 fof(f92,plain,(
% 0.10/0.56 g(a,f(a))=a),
% 0.10/0.56 inference(resolution,[status(thm)],[f87,f8])).
% 0.10/0.56 fof(f95,plain,(
% 0.10/0.56 ![X0]: (~big_f(a,f(a))|~big_f(X0,a)|~big_f(X0,f(a)))),
% 0.10/0.56 inference(paramodulation,[status(thm)],[f92,f84])).
% 0.10/0.56 fof(f96,plain,(
% 0.10/0.56 ![X0]: (~big_f(X0,a)|~big_f(X0,f(a)))),
% 0.10/0.56 inference(forward_subsumption_resolution,[status(thm)],[f95,f17])).
% 0.10/0.56 fof(f98,plain,(
% 0.10/0.56 ~big_f(a,a)),
% 0.10/0.56 inference(resolution,[status(thm)],[f96,f17])).
% 0.10/0.56 fof(f99,plain,(
% 0.10/0.56 $false),
% 0.10/0.56 inference(forward_subsumption_resolution,[status(thm)],[f98,f82])).
% 0.10/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.59 % Elapsed time: 0.063846 seconds
% 0.16/0.59 % CPU time: 0.171601 seconds
% 0.16/0.59 % Total memory used: 80.825 MB
% 0.16/0.59 % Net memory used: 80.233 MB
%------------------------------------------------------------------------------