%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL207-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:09:36 PM UTC 2026
% Result : Unsatisfiable 25.47s 13.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL207-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.36 % Computer : n007.cluster.edu
% 0.09/10.36 % Model : x86_64 x86_64
% 0.09/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.36 % Memory : 8046.5625MB
% 0.09/10.36 % OS : Linux 6.8.0-71-generic
% 0.09/10.36 % CPULimit : 300
% 0.09/10.36 % WCLimit : 300
% 0.09/10.36 % DateTime : Mon Sep 21 00:09:16 UTC 2026
% 0.09/10.36 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 25.47/13.69 % Refutation found
% 25.47/13.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.47/13.69 % SZS output start CNFRefutation for theBenchmark
% 25.47/13.69 fof(f2,axiom,(
% 25.47/13.69 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f3,axiom,(
% 25.47/13.69 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f4,axiom,(
% 25.47/13.69 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f5,axiom,(
% 25.47/13.69 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f6,axiom,(
% 25.47/13.69 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f7,axiom,(
% 25.47/13.69 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f8,axiom,(
% 25.47/13.69 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f9,negated_conjecture,(
% 25.47/13.69 ~ theorem(implies(not(implies(p,q)),implies(q,p))) ),
% 25.47/13.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 25.47/13.69 fof(f11,plain,(
% 25.47/13.69 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f2])).
% 25.47/13.69 fof(f12,plain,(
% 25.47/13.69 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f3])).
% 25.47/13.69 fof(f13,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f4])).
% 25.47/13.69 fof(f14,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f5])).
% 25.47/13.69 fof(f15,plain,(
% 25.47/13.69 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f6])).
% 25.47/13.69 fof(f16,plain,(
% 25.47/13.69 ![X0]: (theorem(X0)|~axiom(X0))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f7])).
% 25.47/13.69 fof(f17,plain,(
% 25.47/13.69 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 25.47/13.69 inference(miniscoping,[status(thm)],[f8])).
% 25.47/13.69 fof(f18,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f17])).
% 25.47/13.69 fof(f19,plain,(
% 25.47/13.69 ~theorem(implies(not(implies(p,q)),implies(q,p)))),
% 25.47/13.69 inference(cnf_transformation,[status(thm)],[f9])).
% 25.47/13.69 fof(f27,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f11,f16])).
% 25.47/13.69 fof(f30,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f27])).
% 25.47/13.69 fof(f41,definition,(
% 25.47/13.69 ![X1]: (sQ1_spl <=> (~theorem(X1)))),
% 25.47/13.69 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 25.47/13.69 fof(f42,plain,(
% 25.47/13.69 ![X0]: (~theorem(X0)|~sQ1_spl)),
% 25.47/13.69 inference(component_clause,[status(thm)],[f41])).
% 25.47/13.69 fof(f46,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f12,f16])).
% 25.47/13.69 fof(f47,plain,(
% 25.47/13.69 ![X0,X1]: (axiom(implies(implies(X0,X1),or(X1,not(X0)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f12])).
% 25.47/13.69 fof(f50,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f46])).
% 25.47/13.69 fof(f51,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f46])).
% 25.47/13.69 fof(f57,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f13,f16])).
% 25.47/13.69 fof(f58,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f13])).
% 25.47/13.69 fof(f62,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 25.47/13.69 inference(forward_demodulation,[status(thm)],[f15,f58])).
% 25.47/13.69 fof(f66,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f14,f16])).
% 25.47/13.69 fof(f67,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f14])).
% 25.47/13.69 fof(f69,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 25.47/13.69 inference(forward_demodulation,[status(thm)],[f15,f67])).
% 25.47/13.69 fof(f72,plain,(
% 25.47/13.69 ![X0,X1]: (axiom(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f47])).
% 25.47/13.69 fof(f76,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f50])).
% 25.47/13.69 fof(f77,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f51,f18])).
% 25.47/13.69 fof(f82,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f57,f18])).
% 25.47/13.69 fof(f98,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f62])).
% 25.47/13.69 fof(f100,plain,(
% 25.47/13.69 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 25.47/13.69 inference(forward_demodulation,[status(thm)],[f15,f98])).
% 25.47/13.69 fof(f147,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 25.47/13.69 inference(resolution,[status(thm)],[f66,f18])).
% 25.47/13.69 fof(f187,plain,(
% 25.47/13.69 $false|~sQ1_spl),
% 25.47/13.69 inference(backward_subsumption_resolution,[status(thm)],[f76,f42])).
% 25.47/13.69 fof(f196,plain,(
% 25.47/13.69 ~sQ1_spl),
% 25.47/13.69 inference(contradiction_clause,[status(thm)],[f187])).
% 25.47/13.69 fof(f198,plain,(
% 25.47/13.69 ![X0,X1]: (~axiom(implies(X0,X1))|theorem(X1)|~theorem(X0))),
% 25.47/13.69 inference(resolution,[status(thm)],[f16,f18])).
% 25.47/13.69 fof(f279,plain,(
% 25.47/13.69 ![X0,X1,X2]: (~axiom(implies(implies(or(X0,X1),or(X1,X0)),X2))|theorem(X2))),
% 25.47/13.69 inference(resolution,[status(thm)],[f198,f46])).
% 25.47/13.69 fof(f281,plain,(
% 25.47/13.69 ![X0,X1,X2]: (~axiom(implies(implies(X0,implies(X1,X0)),X2))|theorem(X2))),
% 25.47/13.69 inference(resolution,[status(thm)],[f198,f30])).
% 25.47/13.69 fof(f288,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 25.47/13.69 inference(paramodulation,[status(thm)],[f15,f82])).
% 25.47/13.69 fof(f290,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 25.47/13.69 inference(forward_demodulation,[status(thm)],[f15,f288])).
% 25.47/13.69 fof(f518,plain,(
% 25.47/13.69 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 25.47/13.69 inference(resolution,[status(thm)],[f147,f18])).
% 25.47/13.69 fof(f702,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(X0,implies(X1,X1))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f281,f100])).
% 25.47/13.69 fof(f704,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f281,f69])).
% 25.47/13.69 fof(f708,plain,(
% 25.47/13.69 ![X0,X1]: (theorem(implies(X0,X0))|~theorem(X1))),
% 25.47/13.69 inference(resolution,[status(thm)],[f702,f18])).
% 25.47/13.69 fof(f713,definition,(
% 25.47/13.69 ![X0]: (sQ16_spl <=> (theorem(implies(X0,X0))))),
% 25.47/13.69 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 25.47/13.69 fof(f714,plain,(
% 25.47/13.69 ![X0]: (theorem(implies(X0,X0))|~sQ16_spl)),
% 25.47/13.69 inference(component_clause,[status(thm)],[f713])).
% 25.47/13.69 fof(f716,plain,(
% 25.47/13.69 sQ16_spl|sQ1_spl),
% 25.47/13.69 inference(split_clause,[status(thm)],[f708,f713,f41])).
% 25.47/13.69 fof(f718,plain,(
% 25.47/13.69 ![X0,X1]: (~axiom(implies(implies(X0,X0),X1))|theorem(X1)|~sQ16_spl)),
% 25.47/13.69 inference(resolution,[status(thm)],[f714,f198])).
% 25.47/13.69 fof(f770,plain,(
% 25.47/13.69 ![X0]: (theorem(implies(X0,not(not(X0))))|~sQ16_spl)),
% 25.47/13.69 inference(resolution,[status(thm)],[f718,f72])).
% 25.47/13.69 fof(f840,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f279,f69])).
% 25.47/13.69 fof(f1970,plain,(
% 25.47/13.69 ![X0,X1,X2]: (~theorem(implies(X0,not(X1)))|~theorem(or(X2,X0))|theorem(implies(X1,X2)))),
% 25.47/13.69 inference(resolution,[status(thm)],[f518,f77])).
% 25.47/13.69 fof(f2969,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X0,X2)))),
% 25.47/13.69 inference(resolution,[status(thm)],[f704,f18])).
% 25.47/13.69 fof(f3367,plain,(
% 25.47/13.69 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(implies(X0,or(X2,X1))))),
% 25.47/13.69 inference(resolution,[status(thm)],[f840,f18])).
% 25.47/13.69 fof(f4152,plain,(
% 25.47/13.69 ~theorem(implies(not(implies(p,q)),p))),
% 25.47/13.69 inference(resolution,[status(thm)],[f2969,f19])).
% 25.47/13.69 fof(f14014,plain,(
% 25.47/13.69 ![X0,X1]: (~theorem(or(X0,X1))|theorem(implies(not(X1),X0))|~sQ16_spl)),
% 24.58/13.71 inference(resolution,[status(thm)],[f1970,f770])).
% 24.58/13.71 fof(f14039,plain,(
% 24.58/13.71 ~theorem(or(p,implies(p,q)))|~sQ16_spl),
% 24.58/13.71 inference(resolution,[status(thm)],[f14014,f4152])).
% 24.58/13.71 fof(f14111,plain,(
% 24.58/13.71 ~theorem(implies(p,or(p,q)))|~sQ16_spl),
% 24.58/13.71 inference(resolution,[status(thm)],[f14039,f290])).
% 24.58/13.71 fof(f20420,plain,(
% 24.58/13.71 ~theorem(implies(p,or(q,p)))|~sQ16_spl),
% 24.58/13.71 inference(resolution,[status(thm)],[f3367,f14111])).
% 24.58/13.71 fof(f20440,plain,(
% 24.58/13.71 $false|~sQ16_spl),
% 24.58/13.71 inference(forward_subsumption_resolution,[status(thm)],[f20420,f27])).
% 24.58/13.71 fof(f20441,plain,(
% 24.58/13.71 ~sQ16_spl),
% 24.58/13.71 inference(contradiction_clause,[status(thm)],[f20440])).
% 24.58/13.71 fof(f20442,plain,(
% 24.58/13.71 $false),
% 24.58/13.71 inference(sat_refutation,[status(thm)],[f196,f716,f20441])).
% 24.58/13.71 % SZS output end CNFRefutation for theBenchmark.p
% 24.58/13.77 % Elapsed time: 3.385153 seconds
% 24.58/13.77 % CPU time: 26.569038 seconds
% 24.58/13.77 % Total memory used: 316.814 MB
% 24.58/13.77 % Net memory used: 289.569 MB
%------------------------------------------------------------------------------