TSTP Solution File: SYN115-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN115-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:51:22 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN115-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:49:03 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f13,axiom,(
% 0.19/0.45 r0(e) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f14,axiom,(
% 0.19/0.45 (![X]: (p0(b,X) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f18,axiom,(
% 0.19/0.45 p0(c,b) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f27,axiom,(
% 0.19/0.45 m0(e,b,c) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f30,axiom,(
% 0.19/0.45 n0(e,e) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f34,axiom,(
% 0.19/0.45 n0(c,d) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f37,axiom,(
% 0.19/0.45 n0(b,a) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f41,axiom,(
% 0.19/0.45 (![C,D,E,F]: (( l1(C,D)| ~ p0(E,C)| ~ r0(F)| ~ m0(D,C,E) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f123,axiom,(
% 0.19/0.45 (![B,C]: (( p1(B,B,B)| ~ p0(C,B) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f138,axiom,(
% 0.19/0.45 (![C,D]: (( q1(C,C,C)| ~ n0(D,C) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f207,axiom,(
% 0.19/0.45 (![D,E,F]: (( p2(D,D,D)| ~ q1(E,E,E)| ~ p1(D,F,D) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f224,axiom,(
% 0.19/0.45 (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f278,axiom,(
% 0.19/0.45 (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f293,axiom,(
% 0.19/0.45 (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f312,axiom,(
% 0.19/0.45 ( k4(c)| ~ n0(c,d)| ~ q3(e,b)| ~ n3(e) ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f369,negated_conjecture,(
% 0.19/0.45 ~ k4(c) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f382,plain,(
% 0.19/0.45 r0(e)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.45 fof(f383,plain,(
% 0.19/0.45 ![X0]: (p0(b,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.45 fof(f387,plain,(
% 0.19/0.45 p0(c,b)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.45 fof(f396,plain,(
% 0.19/0.45 m0(e,b,c)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.45 fof(f399,plain,(
% 0.19/0.45 n0(e,e)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.45 fof(f403,plain,(
% 0.19/0.45 n0(c,d)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f406,plain,(
% 0.19/0.45 n0(b,a)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.45 fof(f412,plain,(
% 0.19/0.45 ![C,D,E]: (((l1(C,D)|~p0(E,C))|(![F]: ~r0(F)))|~m0(D,C,E))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f41])).
% 0.19/0.45 fof(f413,plain,(
% 0.19/0.45 ![X0,X1,X2,X3]: (l1(X0,X1)|~p0(X2,X0)|~r0(X3)|~m0(X1,X0,X2))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f412])).
% 0.19/0.45 fof(f544,plain,(
% 0.19/0.45 ![B]: (p1(B,B,B)|(![C]: ~p0(C,B)))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f123])).
% 0.19/0.45 fof(f545,plain,(
% 0.19/0.45 ![X0,X1]: (p1(X0,X0,X0)|~p0(X1,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f544])).
% 0.19/0.45 fof(f567,plain,(
% 0.19/0.45 ![C]: (q1(C,C,C)|(![D]: ~n0(D,C)))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f138])).
% 0.19/0.45 fof(f568,plain,(
% 0.19/0.45 ![X0,X1]: (q1(X0,X0,X0)|~n0(X1,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f567])).
% 0.19/0.45 fof(f673,plain,(
% 0.19/0.45 ![D]: ((p2(D,D,D)|(![E]: ~q1(E,E,E)))|(![F]: ~p1(D,F,D)))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f207])).
% 0.19/0.45 fof(f674,plain,(
% 0.19/0.45 ![X0,X1,X2]: (p2(X0,X0,X0)|~q1(X1,X1,X1)|~p1(X0,X2,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f673])).
% 0.19/0.45 fof(f699,plain,(
% 0.19/0.45 ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f224])).
% 0.19/0.45 fof(f778,plain,(
% 0.19/0.45 ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f278])).
% 0.19/0.45 fof(f779,plain,(
% 0.19/0.45 ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f778])).
% 0.19/0.45 fof(f801,plain,(
% 0.19/0.45 ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f293])).
% 0.19/0.45 fof(f802,plain,(
% 0.19/0.45 ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f801])).
% 0.19/0.45 fof(f832,plain,(
% 0.19/0.45 k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f312])).
% 0.19/0.45 fof(f924,plain,(
% 0.19/0.45 ~k4(c)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.45 fof(f925,plain,(
% 0.19/0.45 spl0_0 <=> l1(X0,X1)|~p0(X2,X0)|~m0(X1,X0,X2)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f926,plain,(
% 0.19/0.45 ![X0,X1,X2]: (l1(X0,X1)|~p0(X2,X0)|~m0(X1,X0,X2)|~spl0_0)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f925])).
% 0.19/0.45 fof(f928,plain,(
% 0.19/0.45 spl0_1 <=> ~r0(X3)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f929,plain,(
% 0.19/0.45 ![X0]: (~r0(X0)|~spl0_1)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f928])).
% 0.19/0.45 fof(f931,plain,(
% 0.19/0.45 spl0_0|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f413,f925,f928])).
% 0.19/0.45 fof(f1464,plain,(
% 0.19/0.45 spl0_152 <=> p2(X0,X0,X0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1465,plain,(
% 0.19/0.45 ![X0]: (p2(X0,X0,X0)|~spl0_152)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1464])).
% 0.19/0.45 fof(f1484,plain,(
% 0.19/0.45 spl0_158 <=> p2(X0,X0,X0)|~p1(X0,X2,X0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1485,plain,(
% 0.19/0.45 ![X0,X1]: (p2(X0,X0,X0)|~p1(X0,X1,X0)|~spl0_158)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1484])).
% 0.19/0.45 fof(f1487,plain,(
% 0.19/0.45 spl0_159 <=> ~q1(X1,X1,X1)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1488,plain,(
% 0.19/0.45 ![X0]: (~q1(X0,X0,X0)|~spl0_159)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1487])).
% 0.19/0.45 fof(f1490,plain,(
% 0.19/0.45 spl0_158|spl0_159),
% 0.19/0.45 inference(split_clause,[status(thm)],[f674,f1484,f1487])).
% 0.19/0.45 fof(f1794,plain,(
% 0.19/0.45 spl0_246 <=> k4(c)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1795,plain,(
% 0.19/0.45 k4(c)|~spl0_246),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1794])).
% 0.19/0.45 fof(f1797,plain,(
% 0.19/0.45 spl0_247 <=> n0(c,d)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1799,plain,(
% 0.19/0.45 ~n0(c,d)|spl0_247),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1797])).
% 0.19/0.45 fof(f1800,plain,(
% 0.19/0.45 spl0_248 <=> q3(e,b)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1803,plain,(
% 0.19/0.45 spl0_249 <=> n3(e)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f1805,plain,(
% 0.19/0.45 ~n3(e)|spl0_249),
% 0.19/0.45 inference(component_clause,[status(thm)],[f1803])).
% 0.19/0.45 fof(f1806,plain,(
% 0.19/0.45 spl0_246|~spl0_247|~spl0_248|~spl0_249),
% 0.19/0.45 inference(split_clause,[status(thm)],[f832,f1794,f1797,f1800,f1803])).
% 0.19/0.45 fof(f2002,plain,(
% 0.19/0.45 $false|~spl0_1),
% 0.19/0.45 inference(backward_subsumption_resolution,[status(thm)],[f382,f929])).
% 0.19/0.45 fof(f2003,plain,(
% 0.19/0.45 ~spl0_1),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f2002])).
% 0.19/0.45 fof(f2090,plain,(
% 0.19/0.45 ![X0]: (n3(X0)|~spl0_152)),
% 0.19/0.45 inference(resolution,[status(thm)],[f1465,f779])).
% 0.19/0.45 fof(f2091,plain,(
% 0.19/0.45 $false|~spl0_152|spl0_249),
% 0.19/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1805,f2090])).
% 0.19/0.45 fof(f2092,plain,(
% 0.19/0.45 ~spl0_152|spl0_249),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f2091])).
% 0.19/0.45 fof(f2099,plain,(
% 0.19/0.45 $false|spl0_247),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1799,f403])).
% 0.19/0.45 fof(f2100,plain,(
% 0.19/0.45 spl0_247),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f2099])).
% 0.19/0.45 fof(f2292,plain,(
% 0.19/0.45 ![X0]: (p1(X0,X0,X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f545,f383])).
% 0.19/0.45 fof(f2418,plain,(
% 0.19/0.45 ![X0]: (p2(X0,X0,X0)|~spl0_158)),
% 0.19/0.45 inference(resolution,[status(thm)],[f1485,f2292])).
% 0.19/0.45 fof(f2419,plain,(
% 0.19/0.45 spl0_152|~spl0_158),
% 0.19/0.45 inference(split_clause,[status(thm)],[f2418,f1464,f1484])).
% 0.19/0.45 fof(f2440,plain,(
% 0.19/0.45 spl0_334 <=> n0(e,e)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f2442,plain,(
% 0.19/0.45 ~n0(e,e)|spl0_334),
% 0.19/0.45 inference(component_clause,[status(thm)],[f2440])).
% 0.19/0.45 fof(f2445,plain,(
% 0.19/0.45 $false|spl0_334),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2442,f399])).
% 0.19/0.45 fof(f2446,plain,(
% 0.19/0.45 spl0_334),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f2445])).
% 0.19/0.45 fof(f2471,plain,(
% 0.19/0.45 q1(a,a,a)),
% 0.19/0.45 inference(resolution,[status(thm)],[f568,f406])).
% 0.19/0.45 fof(f2526,plain,(
% 0.19/0.45 $false|~spl0_159),
% 0.19/0.45 inference(backward_subsumption_resolution,[status(thm)],[f2471,f1488])).
% 0.19/0.45 fof(f2527,plain,(
% 0.19/0.45 ~spl0_159),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f2526])).
% 0.19/0.45 fof(f2676,plain,(
% 0.19/0.45 spl0_360 <=> p0(c,b)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f2678,plain,(
% 0.19/0.45 ~p0(c,b)|spl0_360),
% 0.19/0.45 inference(component_clause,[status(thm)],[f2676])).
% 0.19/0.45 fof(f2689,plain,(
% 0.19/0.45 $false|spl0_360),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2678,f387])).
% 0.19/0.45 fof(f2690,plain,(
% 0.19/0.46 spl0_360),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f2689])).
% 0.19/0.46 fof(f2702,plain,(
% 0.19/0.46 spl0_363 <=> l1(b,e)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f2703,plain,(
% 0.19/0.46 l1(b,e)|~spl0_363),
% 0.19/0.46 inference(component_clause,[status(thm)],[f2702])).
% 0.19/0.46 fof(f2705,plain,(
% 0.19/0.46 l1(b,e)|~p0(c,b)|~spl0_0),
% 0.19/0.46 inference(resolution,[status(thm)],[f926,f396])).
% 0.19/0.46 fof(f2706,plain,(
% 0.19/0.46 spl0_363|~spl0_360|~spl0_0),
% 0.19/0.46 inference(split_clause,[status(thm)],[f2705,f2702,f2676,f925])).
% 0.19/0.46 fof(f2844,plain,(
% 0.19/0.46 q2(e,e,b)|~spl0_363),
% 0.19/0.46 inference(resolution,[status(thm)],[f2703,f699])).
% 0.19/0.46 fof(f3911,plain,(
% 0.19/0.46 q3(e,b)|~n0(e,e)|~spl0_363),
% 0.19/0.46 inference(resolution,[status(thm)],[f802,f2844])).
% 0.19/0.46 fof(f3912,plain,(
% 0.19/0.46 spl0_248|~spl0_334|~spl0_363),
% 0.19/0.46 inference(split_clause,[status(thm)],[f3911,f1800,f2440,f2702])).
% 0.19/0.46 fof(f3928,plain,(
% 0.19/0.46 $false|~spl0_246),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1795,f924])).
% 0.19/0.46 fof(f3929,plain,(
% 0.19/0.46 ~spl0_246),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f3928])).
% 0.19/0.46 fof(f3930,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f931,f1490,f1806,f2003,f2092,f2100,f2419,f2446,f2527,f2690,f2706,f3912,f3929])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.113535 seconds
% 0.19/0.46 % CPU time: 0.727970 seconds
% 0.19/0.46 % Total memory used: 58.198 MB
% 0.19/0.46 % Net memory used: 57.148 MB
%------------------------------------------------------------------------------