TSTP Solution File: SYN417+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Fri May 3 03:30:34 EDT 2024
% Result : Theorem 3.16s 1.21s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] :
( ! [X1] :
( f(g(X1)) = X1
=> X0 = X1 )
& f(g(X0)) = X0 )
<=> ? [X0] :
( ! [X1] :
( g(f(X1)) = X1
=> X0 = X1 )
& g(f(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cute) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( ! [X1] :
( f(g(X1)) = X1
=> X0 = X1 )
& f(g(X0)) = X0 )
<=> ? [X0] :
( ! [X1] :
( g(f(X1)) = X1
=> X0 = X1 )
& g(f(X0)) = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ( ? [X0] :
( ! [X1] :
( f(g(X1)) = X1
=> X0 = X1 )
& f(g(X0)) = X0 )
<=> ? [X2] :
( ! [X3] :
( g(f(X3)) = X3
=> X2 = X3 )
& g(f(X2)) = X2 ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X0] :
( ! [X1] :
( X0 = X1
| f(g(X1)) != X1 )
& f(g(X0)) = X0 )
<~> ? [X2] :
( ! [X3] :
( X2 = X3
| g(f(X3)) != X3 )
& g(f(X2)) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X2] :
( ? [X3] :
( X2 != X3
& g(f(X3)) = X3 )
| g(f(X2)) != X2 )
| ! [X0] :
( ? [X1] :
( X0 != X1
& f(g(X1)) = X1 )
| f(g(X0)) != X0 ) )
& ( ? [X2] :
( ! [X3] :
( X2 = X3
| g(f(X3)) != X3 )
& g(f(X2)) = X2 )
| ? [X0] :
( ! [X1] :
( X0 = X1
| f(g(X1)) != X1 )
& f(g(X0)) = X0 ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( ( ! [X0] :
( ? [X1] :
( X0 != X1
& g(f(X1)) = X1 )
| g(f(X0)) != X0 )
| ! [X2] :
( ? [X3] :
( X2 != X3
& f(g(X3)) = X3 )
| f(g(X2)) != X2 ) )
& ( ? [X4] :
( ! [X5] :
( X4 = X5
| g(f(X5)) != X5 )
& g(f(X4)) = X4 )
| ? [X6] :
( ! [X7] :
( X6 = X7
| f(g(X7)) != X7 )
& f(g(X6)) = X6 ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& g(f(X1)) = X1 )
=> ( sK0(X0) != X0
& sK0(X0) = g(f(sK0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
( X2 != X3
& f(g(X3)) = X3 )
=> ( sK1(X2) != X2
& sK1(X2) = f(g(sK1(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X4] :
( ! [X5] :
( X4 = X5
| g(f(X5)) != X5 )
& g(f(X4)) = X4 )
=> ( ! [X5] :
( sK2 = X5
| g(f(X5)) != X5 )
& sK2 = g(f(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X6] :
( ! [X7] :
( X6 = X7
| f(g(X7)) != X7 )
& f(g(X6)) = X6 )
=> ( ! [X7] :
( sK3 = X7
| f(g(X7)) != X7 )
& sK3 = f(g(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ( ! [X0] :
( ( sK0(X0) != X0
& sK0(X0) = g(f(sK0(X0))) )
| g(f(X0)) != X0 )
| ! [X2] :
( ( sK1(X2) != X2
& sK1(X2) = f(g(sK1(X2))) )
| f(g(X2)) != X2 ) )
& ( ( ! [X5] :
( sK2 = X5
| g(f(X5)) != X5 )
& sK2 = g(f(sK2)) )
| ( ! [X7] :
( sK3 = X7
| f(g(X7)) != X7 )
& sK3 = f(g(sK3)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f10,f9,f8,f7]) ).
fof(f12,plain,
( sK2 = g(f(sK2))
| sK3 = f(g(sK3)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f13,plain,
! [X7] :
( sK2 = g(f(sK2))
| sK3 = X7
| f(g(X7)) != X7 ),
inference(cnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X5] :
( sK2 = X5
| g(f(X5)) != X5
| sK3 = f(g(sK3)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
! [X7,X5] :
( sK2 = X5
| g(f(X5)) != X5
| sK3 = X7
| f(g(X7)) != X7 ),
inference(cnf_transformation,[],[f11]) ).
fof(f16,plain,
! [X2,X0] :
( sK0(X0) = g(f(sK0(X0)))
| g(f(X0)) != X0
| sK1(X2) = f(g(sK1(X2)))
| f(g(X2)) != X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X2,X0] :
( sK0(X0) = g(f(sK0(X0)))
| g(f(X0)) != X0
| sK1(X2) != X2
| f(g(X2)) != X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X2,X0] :
( sK0(X0) != X0
| g(f(X0)) != X0
| sK1(X2) = f(g(sK1(X2)))
| f(g(X2)) != X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X2,X0] :
( sK0(X0) != X0
| g(f(X0)) != X0
| sK1(X2) != X2
| f(g(X2)) != X2 ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_49,negated_conjecture,
( f(g(X0)) != X0
| g(f(X1)) != X1
| sK0(X1) != X1
| sK1(X0) != X0 ),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,negated_conjecture,
( f(g(X0)) != X0
| g(f(X1)) != X1
| sK0(X1) != X1
| f(g(sK1(X0))) = sK1(X0) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_51,negated_conjecture,
( f(g(X0)) != X0
| g(f(X1)) != X1
| sK1(X0) != X0
| g(f(sK0(X1))) = sK0(X1) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_52,negated_conjecture,
( f(g(X0)) != X0
| g(f(X1)) != X1
| f(g(sK1(X0))) = sK1(X0)
| g(f(sK0(X1))) = sK0(X1) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_53,negated_conjecture,
( f(g(X0)) != X0
| g(f(X1)) != X1
| X0 = sK3
| X1 = sK2 ),
inference(cnf_transformation,[],[f15]) ).
cnf(c_54,negated_conjecture,
( g(f(X0)) != X0
| f(g(sK3)) = sK3
| X0 = sK2 ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_55,negated_conjecture,
( f(g(X0)) != X0
| g(f(sK2)) = sK2
| X0 = sK3 ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_56,negated_conjecture,
( f(g(sK3)) = sK3
| g(f(sK2)) = sK2 ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_178,negated_conjecture,
( X0 = sK2
| g(f(X0)) != X0
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_53]) ).
cnf(c_179,negated_conjecture,
( X0 = sK3
| f(g(X0)) != X0
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_53]) ).
cnf(c_180,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53]) ).
cnf(c_181,negated_conjecture,
( g(f(X0)) != X0
| g(f(sK0(X0))) = sK0(X0)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_52]) ).
cnf(c_182,negated_conjecture,
( f(g(X0)) != X0
| f(g(sK1(X0))) = sK1(X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_52]) ).
cnf(c_183,negated_conjecture,
( sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_52]) ).
cnf(c_184,negated_conjecture,
( sK1(X0) != X0
| f(g(X0)) != X0
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_51]) ).
cnf(c_185,negated_conjecture,
( sP2_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_51]) ).
cnf(c_186,negated_conjecture,
( g(f(X0)) != X0
| sK0(X0) != X0
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_50]) ).
cnf(c_187,negated_conjecture,
( sP3_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_50]) ).
cnf(c_188,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).
cnf(c_189,plain,
g(sK3) = sP6_iProver_def,
definition ).
cnf(c_190,plain,
f(sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_191,plain,
f(sK2) = sP8_iProver_def,
definition ).
cnf(c_192,plain,
g(sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_193,negated_conjecture,
( sP7_iProver_def = sK3
| sP9_iProver_def = sK2 ),
inference(demodulation,[status(thm)],[c_56,c_191,c_192,c_189,c_190]) ).
cnf(c_194,negated_conjecture,
( f(g(X0)) != X0
| X0 = sK3
| sP9_iProver_def = sK2 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_195,negated_conjecture,
( g(f(X0)) != X0
| X0 = sK2
| sP7_iProver_def = sK3 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_196,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_180]) ).
cnf(c_197,negated_conjecture,
( f(g(X0)) != X0
| ~ sP1_iProver_def
| X0 = sK3 ),
inference(demodulation,[status(thm)],[c_179]) ).
cnf(c_198,negated_conjecture,
( g(f(X0)) != X0
| ~ sP0_iProver_def
| X0 = sK2 ),
inference(demodulation,[status(thm)],[c_178]) ).
cnf(c_199,negated_conjecture,
( sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_183]) ).
cnf(c_202,negated_conjecture,
( sP2_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_185]) ).
cnf(c_204,negated_conjecture,
( g(f(X0)) != X0
| ~ sP2_iProver_def
| g(f(sK0(X0))) = sK0(X0) ),
inference(demodulation,[status(thm)],[c_181]) ).
cnf(c_205,negated_conjecture,
( sP3_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_187]) ).
cnf(c_206,negated_conjecture,
( f(g(X0)) != X0
| ~ sP3_iProver_def
| f(g(sK1(X0))) = sK1(X0) ),
inference(demodulation,[status(thm)],[c_182]) ).
cnf(c_208,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_188]) ).
cnf(c_209,negated_conjecture,
( f(g(X0)) != X0
| sK1(X0) != X0
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_184]) ).
cnf(c_210,negated_conjecture,
( g(f(X0)) != X0
| sK0(X0) != X0
| ~ sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_186]) ).
cnf(c_354,plain,
( g(sP7_iProver_def) = sP6_iProver_def
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_193,c_189]) ).
cnf(c_358,plain,
( g(sP7_iProver_def) != sP6_iProver_def
| ~ sP0_iProver_def
| sK2 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_190,c_198]) ).
cnf(c_363,plain,
( f(sP9_iProver_def) != sP8_iProver_def
| ~ sP1_iProver_def
| sK3 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_192,c_197]) ).
cnf(c_382,plain,
( f(sP6_iProver_def) != sP7_iProver_def
| sK2 = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_194]) ).
cnf(c_384,plain,
( sK2 = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_382,c_190]) ).
cnf(c_425,plain,
( f(sP6_iProver_def) != sK3
| sK1(sK3) != sK3
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_189,c_209]) ).
cnf(c_426,plain,
( f(sP9_iProver_def) != sP8_iProver_def
| sK1(sP8_iProver_def) != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_192,c_209]) ).
cnf(c_427,plain,
( f(sP6_iProver_def) != sP7_iProver_def
| sK1(sP7_iProver_def) != sP7_iProver_def
| ~ sP4_iProver_def
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_209]) ).
cnf(c_431,plain,
( sK1(sK3) != sK3
| sK3 != sP7_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_425,c_190]) ).
cnf(c_435,plain,
( sK1(sP7_iProver_def) != sP7_iProver_def
| ~ sP4_iProver_def
| sK2 = sP9_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_427,c_190]) ).
cnf(c_445,plain,
( sK0(sK2) != sK2
| g(sP8_iProver_def) != sK2
| ~ sP5_iProver_def ),
inference(superposition,[status(thm)],[c_191,c_210]) ).
cnf(c_446,plain,
( sK0(sP6_iProver_def) != sP6_iProver_def
| g(sP7_iProver_def) != sP6_iProver_def
| ~ sP5_iProver_def ),
inference(superposition,[status(thm)],[c_190,c_210]) ).
cnf(c_450,plain,
( sK0(sK2) != sK2
| sK2 != sP9_iProver_def
| ~ sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_445,c_192]) ).
cnf(c_460,plain,
( g(sP8_iProver_def) != sK2
| ~ sP2_iProver_def
| g(f(sK0(sK2))) = sK0(sK2) ),
inference(superposition,[status(thm)],[c_191,c_204]) ).
cnf(c_461,plain,
( g(sP7_iProver_def) != sP6_iProver_def
| ~ sP2_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_190,c_204]) ).
cnf(c_465,plain,
( sK2 != sP9_iProver_def
| ~ sP2_iProver_def
| g(f(sK0(sK2))) = sK0(sK2) ),
inference(light_normalisation,[status(thm)],[c_460,c_192]) ).
cnf(c_476,plain,
( f(sP9_iProver_def) != sP8_iProver_def
| ~ sP3_iProver_def
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_192,c_206]) ).
cnf(c_477,plain,
( f(sP6_iProver_def) != sP7_iProver_def
| ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_206]) ).
cnf(c_485,plain,
( ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK2 = sP9_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_477,c_190]) ).
cnf(c_566,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK2 = sP9_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_199,c_485]) ).
cnf(c_584,plain,
( ~ sP2_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_354,c_461]) ).
cnf(c_600,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_566,c_584]) ).
cnf(c_627,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| f(sK0(sP6_iProver_def)) = sK3
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_600,c_194]) ).
cnf(c_674,plain,
( f(sK0(sP6_iProver_def)) = sK3
| sK1(sP7_iProver_def) = sK3
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_627,c_194]) ).
cnf(c_724,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK0(sP6_iProver_def) = g(sK3)
| sK1(sP7_iProver_def) = sK3
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_674,c_600]) ).
cnf(c_725,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK0(sP6_iProver_def) = sP6_iProver_def
| sK1(sP7_iProver_def) = sK3
| sK2 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_724,c_189]) ).
cnf(c_756,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK1(sP7_iProver_def) = sK3
| sK2 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_725,c_205,c_354,c_446,c_485,c_725]) ).
cnf(c_770,plain,
( sK1(sP7_iProver_def) = sK3
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_756,c_194]) ).
cnf(c_781,plain,
( sK3 != sP7_iProver_def
| ~ sP4_iProver_def
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_770,c_435]) ).
cnf(c_786,plain,
( ~ sP4_iProver_def
| sK2 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_781,c_384,c_781]) ).
cnf(c_792,plain,
( sK2 = sP9_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_202,c_786]) ).
cnf(c_799,plain,
( g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| sK2 = sP9_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_584,c_792]) ).
cnf(c_814,plain,
( f(sK0(sP6_iProver_def)) = sK3
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_799,c_194]) ).
cnf(c_852,plain,
( sK0(sP6_iProver_def) = g(sK3)
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_814,c_799]) ).
cnf(c_853,plain,
( sK0(sP6_iProver_def) = sP6_iProver_def
| sK2 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_852,c_189]) ).
cnf(c_857,plain,
sK2 = sP9_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_853,c_208,c_354,c_384,c_446,c_781,c_853]) ).
cnf(c_865,plain,
( sP9_iProver_def != sP9_iProver_def
| ~ sP2_iProver_def
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def) ),
inference(demodulation,[status(thm)],[c_465,c_857]) ).
cnf(c_866,plain,
( sK0(sP9_iProver_def) != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| ~ sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_450,c_857]) ).
cnf(c_869,plain,
( g(f(X0)) != X0
| X0 = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_195,c_857]) ).
cnf(c_871,plain,
( g(sP7_iProver_def) != sP6_iProver_def
| ~ sP0_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_358,c_857]) ).
cnf(c_874,plain,
f(sP9_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_191,c_857]) ).
cnf(c_875,plain,
( g(f(X0)) != X0
| ~ sP0_iProver_def
| X0 = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_198,c_857]) ).
cnf(c_883,plain,
( sK0(sP9_iProver_def) != sP9_iProver_def
| ~ sP5_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_866]) ).
cnf(c_892,plain,
( ~ sP2_iProver_def
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_865]) ).
cnf(c_895,plain,
( ~ sP3_iProver_def
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_476,c_874]) ).
cnf(c_896,plain,
( sK1(sP8_iProver_def) != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_426,c_874]) ).
cnf(c_897,plain,
( ~ sP1_iProver_def
| sK3 = sP8_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_363,c_874]) ).
cnf(c_911,plain,
( sK3 = sP8_iProver_def
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_196,c_897]) ).
cnf(c_958,plain,
( f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_199,c_895]) ).
cnf(c_979,plain,
( f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def) ),
inference(superposition,[status(thm)],[c_958,c_892]) ).
cnf(c_988,plain,
( f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| sK0(sP9_iProver_def) = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_979,c_869]) ).
cnf(c_989,plain,
( ~ sP0_iProver_def
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| sK0(sP9_iProver_def) = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_979,c_875]) ).
cnf(c_990,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sP9_iProver_def)))) = sK0(sK0(sP9_iProver_def))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_979,c_204]) ).
cnf(c_994,plain,
( ~ sP1_iProver_def
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| f(sK0(sP9_iProver_def)) = sK3 ),
inference(superposition,[status(thm)],[c_979,c_197]) ).
cnf(c_1016,plain,
( f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| f(sK0(sP9_iProver_def)) = sK3 ),
inference(global_subsumption_just,[status(thm)],[c_994,c_196,c_205,c_883,c_895,c_989,c_994]) ).
cnf(c_1026,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sP8_iProver_def)))) = sK1(sK1(sP8_iProver_def))
| f(sK0(sP9_iProver_def)) = sK3 ),
inference(superposition,[status(thm)],[c_1016,c_206]) ).
cnf(c_1090,plain,
( f(g(sK1(sK1(sP8_iProver_def)))) = sK1(sK1(sP8_iProver_def))
| f(sK0(sP9_iProver_def)) = sK3
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_199,c_1026]) ).
cnf(c_1100,plain,
( f(g(sK1(sK1(sP8_iProver_def)))) = sK1(sK1(sP8_iProver_def))
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def)
| f(sK0(sP9_iProver_def)) = sK3 ),
inference(superposition,[status(thm)],[c_1090,c_892]) ).
cnf(c_1111,plain,
( f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def)
| sK3 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_988,c_205,c_883,c_895,c_988]) ).
cnf(c_1117,plain,
( g(sK1(sP8_iProver_def)) = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1111,c_869]) ).
cnf(c_1119,plain,
( ~ sP2_iProver_def
| g(f(sK0(g(sK1(sP8_iProver_def))))) = sK0(g(sK1(sP8_iProver_def)))
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1111,c_204]) ).
cnf(c_1175,plain,
( g(sP7_iProver_def) = sP6_iProver_def
| sK2 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_193,c_189]) ).
cnf(c_1255,plain,
( f(sP9_iProver_def) = sK1(sP8_iProver_def)
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1117,c_1111]) ).
cnf(c_1258,plain,
( sK1(sP8_iProver_def) = sP8_iProver_def
| sK3 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1255,c_874]) ).
cnf(c_1274,plain,
( ~ sP4_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1258,c_896]) ).
cnf(c_1288,plain,
( sK1(sK3) != sK3
| ~ sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_431,c_1274]) ).
cnf(c_1291,plain,
( sK3 = sP7_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_202,c_1274]) ).
cnf(c_1309,plain,
( f(sP9_iProver_def) != sP8_iProver_def
| ~ sP1_iProver_def
| sK3 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_192,c_197]) ).
cnf(c_1313,plain,
( g(f(sK0(g(sK1(sP8_iProver_def))))) = sK0(g(sK1(sP8_iProver_def)))
| sK3 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1119,c_1119,c_1291]) ).
cnf(c_1321,plain,
( sK0(g(sK1(sP8_iProver_def))) = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1313,c_869]) ).
cnf(c_1324,plain,
( sK0(sK0(g(sK1(sP8_iProver_def)))) != sK0(g(sK1(sP8_iProver_def)))
| ~ sP5_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1313,c_210]) ).
cnf(c_1354,plain,
sK2 = sP9_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_1175,c_208,c_354,c_384,c_446,c_781,c_853]) ).
cnf(c_1357,plain,
f(sP9_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_191,c_1354]) ).
cnf(c_1358,plain,
( g(f(X0)) != X0
| ~ sP0_iProver_def
| X0 = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_198,c_1354]) ).
cnf(c_1397,plain,
( sK0(sK0(g(sK1(sP8_iProver_def)))) != sK0(g(sK1(sP8_iProver_def)))
| sK3 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1324,c_208,c_1274,c_1324]) ).
cnf(c_1408,plain,
( ~ sP1_iProver_def
| sK3 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1309,c_363,c_874]) ).
cnf(c_1419,plain,
( g(f(sK0(sK0(sP9_iProver_def)))) = sK0(sK0(sP9_iProver_def))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_990,c_958,c_990]) ).
cnf(c_1427,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sP9_iProver_def))))) = sK0(sK0(sK0(sP9_iProver_def)))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_1419,c_204]) ).
cnf(c_1459,plain,
( g(f(X0)) != X0
| X0 = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_195,c_1354]) ).
cnf(c_1466,plain,
( g(sP7_iProver_def) != sP6_iProver_def
| sK3 = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_190,c_1459]) ).
cnf(c_1612,plain,
( sK0(sP9_iProver_def) = sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1117,c_1321]) ).
cnf(c_1615,plain,
( sK0(sP9_iProver_def) != sP9_iProver_def
| sK3 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1321,c_1397]) ).
cnf(c_1624,plain,
sK3 = sP7_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1612,c_1615]) ).
cnf(c_1626,plain,
( sK1(sP7_iProver_def) != sP7_iProver_def
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_1288,c_1624]) ).
cnf(c_1636,plain,
( sP7_iProver_def = sP8_iProver_def
| sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_911,c_1624]) ).
cnf(c_1638,plain,
g(sP7_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_189,c_1624]) ).
cnf(c_1639,plain,
( f(g(X0)) != X0
| ~ sP1_iProver_def
| X0 = sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_197,c_1624]) ).
cnf(c_1645,plain,
( ~ sP0_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_871,c_1638]) ).
cnf(c_1646,plain,
( ~ sP2_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_461,c_1638]) ).
cnf(c_1647,plain,
( sK0(sP6_iProver_def) != sP6_iProver_def
| ~ sP5_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_446,c_1638]) ).
cnf(c_1717,plain,
( f(g(sK1(sK1(sP8_iProver_def)))) = sK1(sK1(sP8_iProver_def))
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def)
| f(sK0(sP9_iProver_def)) = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1100,c_1624]) ).
cnf(c_1728,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sP8_iProver_def))))) = sK1(sK1(sK1(sP8_iProver_def)))
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def)
| f(sK0(sP9_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1717,c_206]) ).
cnf(c_1758,plain,
( g(f(sK0(sK0(sK0(sP9_iProver_def))))) = sK0(sK0(sK0(sP9_iProver_def)))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1427,c_958,c_1427]) ).
cnf(c_1765,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sP9_iProver_def)))))) = sK0(sK0(sK0(sK0(sP9_iProver_def))))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_1758,c_204]) ).
cnf(c_1795,plain,
( f(sP6_iProver_def) != sP7_iProver_def
| ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_1638,c_206]) ).
cnf(c_1797,plain,
( ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1795,c_190]) ).
cnf(c_1809,plain,
( sP6_iProver_def = sP9_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1636,c_1645]) ).
cnf(c_1848,plain,
( g(f(sK0(sK0(sK0(sK0(sP9_iProver_def)))))) = sK0(sK0(sK0(sK0(sP9_iProver_def))))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1765,c_958,c_1765]) ).
cnf(c_1855,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sP9_iProver_def))))))) = sK0(sK0(sK0(sK0(sK0(sP9_iProver_def)))))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_1848,c_204]) ).
cnf(c_1909,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_199,c_1797]) ).
cnf(c_1918,plain,
( g(sP7_iProver_def) != sP6_iProver_def
| ~ sP2_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_190,c_204]) ).
cnf(c_1971,plain,
( f(sP6_iProver_def) = sP8_iProver_def
| sP7_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1809,c_874]) ).
cnf(c_1972,plain,
sP7_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_1971,c_190]) ).
cnf(c_1989,plain,
g(sP7_iProver_def) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_192,c_1972]) ).
cnf(c_1990,plain,
sP6_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_1989,c_1638]) ).
cnf(c_1993,plain,
( g(f(X0)) != X0
| ~ sP0_iProver_def
| X0 = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_875,c_1990]) ).
cnf(c_2037,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sP9_iProver_def))))))) = sK0(sK0(sK0(sK0(sK0(sP9_iProver_def)))))
| f(g(sK1(sP8_iProver_def))) = sK1(sP8_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1855,c_958,c_1855]) ).
cnf(c_2039,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))) = sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_2037,c_1972,c_1990]) ).
cnf(c_2044,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2039,c_204]) ).
cnf(c_2086,plain,
( f(g(sK1(sK1(sK1(sP8_iProver_def))))) = sK1(sK1(sK1(sP8_iProver_def)))
| g(f(sK0(sP9_iProver_def))) = sK0(sP9_iProver_def)
| f(sK0(sP9_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1728,c_199,c_892,c_1728]) ).
cnf(c_2088,plain,
( f(g(sK1(sK1(sK1(sP7_iProver_def))))) = sK1(sK1(sK1(sP7_iProver_def)))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2086,c_1972,c_1990]) ).
cnf(c_2098,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sP7_iProver_def)))))) = sK1(sK1(sK1(sK1(sP7_iProver_def))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2088,c_206]) ).
cnf(c_2163,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_1909,c_1646]) ).
cnf(c_2166,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_2044,c_1909,c_2044]) ).
cnf(c_2172,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2166,c_204]) ).
cnf(c_2238,plain,
sP6_iProver_def = sP9_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_1466,c_1990]) ).
cnf(c_2240,plain,
( g(f(X0)) != X0
| ~ sP0_iProver_def
| X0 = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_1358,c_2238]) ).
cnf(c_2243,plain,
f(sP6_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_1357,c_2238]) ).
cnf(c_2245,plain,
g(sP8_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_192,c_2238]) ).
cnf(c_2246,plain,
sP7_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_2243,c_190]) ).
cnf(c_2254,plain,
( ~ sP1_iProver_def
| sK3 = sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_1408,c_2246]) ).
cnf(c_2259,plain,
( f(g(sK1(sK1(sK1(sK1(sP7_iProver_def)))))) = sK1(sK1(sK1(sK1(sP7_iProver_def))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2098,c_199,c_1646,c_2098]) ).
cnf(c_2270,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))) = sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2259,c_206]) ).
cnf(c_2300,plain,
g(sP7_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_2245,c_2246]) ).
cnf(c_2301,plain,
( f(sP6_iProver_def) != sP7_iProver_def
| ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2300,c_206]) ).
cnf(c_2307,plain,
( ~ sP3_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2301,c_190]) ).
cnf(c_2322,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_2172,c_1909,c_2172]) ).
cnf(c_2328,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2322,c_204]) ).
cnf(c_2354,plain,
sK3 = sP7_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_2254,c_1624]) ).
cnf(c_2357,plain,
( f(g(X0)) != X0
| ~ sP1_iProver_def
| X0 = sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_197,c_2354]) ).
cnf(c_2382,plain,
( ~ sP2_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_1918,c_461,c_1638]) ).
cnf(c_2396,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_199,c_2307]) ).
cnf(c_2411,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_2396,c_2382]) ).
cnf(c_2490,plain,
( f(g(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))) = sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2270,c_199,c_1646,c_2270]) ).
cnf(c_2501,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2490,c_206]) ).
cnf(c_2530,plain,
( ~ sP0_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK0(sP6_iProver_def) = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_2411,c_2240]) ).
cnf(c_2533,plain,
( ~ sP1_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2411,c_2357]) ).
cnf(c_2562,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_2328,c_1909,c_2328]) ).
cnf(c_2568,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2562,c_204]) ).
cnf(c_2791,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2530,c_205,c_446,c_1638,c_1797,c_2530]) ).
cnf(c_2792,plain,
( ~ sP0_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(renaming,[status(thm)],[c_2791]) ).
cnf(c_2807,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2533,c_196,c_2533,c_2792]) ).
cnf(c_2813,plain,
( ~ sP0_iProver_def
| f(sK0(sP6_iProver_def)) = sP7_iProver_def
| g(sK1(sP7_iProver_def)) = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_2807,c_2240]) ).
cnf(c_2816,plain,
( ~ sP1_iProver_def
| f(sK0(sP6_iProver_def)) = sP7_iProver_def
| sK1(sP7_iProver_def) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2807,c_2357]) ).
cnf(c_2878,plain,
( f(g(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2501,c_199,c_1646,c_2501]) ).
cnf(c_2890,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_2878,c_206]) ).
cnf(c_2942,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_2568,c_1909,c_2568]) ).
cnf(c_2949,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_2942,c_204]) ).
cnf(c_3037,plain,
( f(sK0(sP6_iProver_def)) = sP7_iProver_def
| sK1(sP7_iProver_def) = sP7_iProver_def
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_196,c_2816]) ).
cnf(c_3119,plain,
( f(sK0(sP6_iProver_def)) = sP7_iProver_def
| g(sK1(sP7_iProver_def)) = sP6_iProver_def
| sK1(sP7_iProver_def) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3037,c_2813]) ).
cnf(c_3129,plain,
( f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2890,c_199,c_1646,c_2890]) ).
cnf(c_3141,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3129,c_206]) ).
cnf(c_3182,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_2949,c_1909,c_2949]) ).
cnf(c_3189,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_3182,c_204]) ).
cnf(c_3335,plain,
( f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3141,c_199,c_1646,c_3141]) ).
cnf(c_3347,plain,
( ~ sP3_iProver_def
| f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3335,c_206]) ).
cnf(c_3373,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_3189,c_1909,c_3189]) ).
cnf(c_3380,plain,
( ~ sP2_iProver_def
| g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_3373,c_204]) ).
cnf(c_3466,plain,
( f(g(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def))))))))))) = sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3347,c_199,c_1646,c_3347]) ).
cnf(c_3479,plain,
( sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))) != sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sK1(sP7_iProver_def)))))))))
| ~ sP4_iProver_def
| g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3466,c_209]) ).
cnf(c_3557,plain,
( f(sK0(sP6_iProver_def)) = sP7_iProver_def
| f(sP6_iProver_def) = sK1(sP7_iProver_def)
| sK1(sP7_iProver_def) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3119,c_2807]) ).
cnf(c_3558,plain,
( f(sK0(sP6_iProver_def)) = sP7_iProver_def
| sK1(sP7_iProver_def) = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3557,c_190]) ).
cnf(c_3563,plain,
( g(f(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def)))))))))))))) = sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_3380,c_1909,c_3380]) ).
cnf(c_3571,plain,
( sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))) != sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sP6_iProver_def))))))))))))
| ~ sP5_iProver_def
| f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_3563,c_210]) ).
cnf(c_3972,plain,
( g(f(sK0(sP6_iProver_def))) = sK0(sP6_iProver_def)
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3479,c_202,c_1626,c_1646,c_3558]) ).
cnf(c_3979,plain,
( ~ sP0_iProver_def
| f(sK0(sP6_iProver_def)) = sP7_iProver_def
| sK0(sP6_iProver_def) = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_1993]) ).
cnf(c_3981,plain,
( sK0(sK0(sP6_iProver_def)) != sK0(sP6_iProver_def)
| ~ sP5_iProver_def
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_210]) ).
cnf(c_3982,plain,
( ~ sP1_iProver_def
| f(sK0(sP6_iProver_def)) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_3972,c_1639]) ).
cnf(c_4006,plain,
f(sK0(sP6_iProver_def)) = sP7_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_3981,c_196,c_208,c_446,c_1638,c_1626,c_3558,c_3982,c_3979]) ).
cnf(c_4010,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK0(sP6_iProver_def) = g(sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_2163,c_4006]) ).
cnf(c_4018,plain,
( ~ sP2_iProver_def
| sK0(sP6_iProver_def) = g(sP7_iProver_def) ),
inference(demodulation,[status(thm)],[c_1646,c_4006]) ).
cnf(c_4019,plain,
( ~ sP2_iProver_def
| sK0(sP6_iProver_def) = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4018,c_1638]) ).
cnf(c_4022,plain,
( f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def)
| sK0(sP6_iProver_def) = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4010,c_1638]) ).
cnf(c_4040,plain,
f(g(sK1(sP7_iProver_def))) = sK1(sP7_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_3571,c_205,c_1647,c_1797,c_4022]) ).
cnf(c_4077,plain,
( ~ sP0_iProver_def
| g(sK1(sP7_iProver_def)) = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_4040,c_1993]) ).
cnf(c_4080,plain,
( ~ sP1_iProver_def
| sK1(sP7_iProver_def) = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_4040,c_1639]) ).
cnf(c_4129,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4080,c_202,c_208,c_446,c_1638,c_1626,c_4019,c_4080]) ).
cnf(c_4212,plain,
g(sK1(sP7_iProver_def)) = sP6_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4077,c_196,c_4077,c_4129]) ).
cnf(c_4216,plain,
f(sP6_iProver_def) = sK1(sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4040,c_4212]) ).
cnf(c_4217,plain,
sK1(sP7_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_4216,c_190]) ).
cnf(c_4218,plain,
~ sP4_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1626,c_4217]) ).
cnf(c_4234,plain,
sP5_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_208,c_4218]) ).
cnf(c_4235,plain,
sP2_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_202,c_4218]) ).
cnf(c_4236,plain,
sK0(sP6_iProver_def) != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1647,c_4234]) ).
cnf(c_4238,plain,
~ sP2_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_4019,c_4236]) ).
cnf(c_4245,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4235,c_4238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:01:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.16/1.21 % SZS status Started for theBenchmark.p
% 3.16/1.21 % SZS status Theorem for theBenchmark.p
% 3.16/1.21
% 3.16/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.16/1.21
% 3.16/1.21 ------ iProver source info
% 3.16/1.21
% 3.16/1.21 git: date: 2024-05-02 19:28:25 +0000
% 3.16/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.16/1.21 git: non_committed_changes: false
% 3.16/1.21
% 3.16/1.21 ------ Parsing...
% 3.16/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.16/1.21
% 3.16/1.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.16/1.21
% 3.16/1.21 ------ Preprocessing... gs_s sp: 10 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.16/1.21
% 3.16/1.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.16/1.21 ------ Proving...
% 3.16/1.21 ------ Problem Properties
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21 clauses 18
% 3.16/1.21 conjectures 14
% 3.16/1.21 EPR 6
% 3.16/1.21 Horn 10
% 3.16/1.21 unary 4
% 3.16/1.21 binary 6
% 3.16/1.21 lits 40
% 3.16/1.21 lits eq 24
% 3.16/1.21 fd_pure 0
% 3.16/1.21 fd_pseudo 0
% 3.16/1.21 fd_cond 4
% 3.16/1.21 fd_pseudo_cond 0
% 3.16/1.21 AC symbols 0
% 3.16/1.21
% 3.16/1.21 ------ Schedule dynamic 5 is on
% 3.16/1.21
% 3.16/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21 ------
% 3.16/1.21 Current options:
% 3.16/1.21 ------
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21 ------ Proving...
% 3.16/1.21
% 3.16/1.21
% 3.16/1.21 % SZS status Theorem for theBenchmark.p
% 3.16/1.21
% 3.16/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.21
% 3.16/1.21
%------------------------------------------------------------------------------