TSTP Solution File: NUM841+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Mon Jun 24 12:55:48 EDT 2024
% Result : Theorem 3.64s 1.20s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f122)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f120]) ).
cnf(c_51,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[],[f122]) ).
cnf(c_53,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[],[f124]) ).
cnf(c_63,plain,
( ~ less(X0,X1)
| ~ leq(X1,X2)
| less(X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_69,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_74,plain,
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_75,plain,
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_76,plain,
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_78,plain,
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_90,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f162]) ).
cnf(c_655,plain,
vplus(vd347,vd344) = sP0_iProver_def,
definition ).
cnf(c_656,plain,
vplus(vd345,vd348) = sP1_iProver_def,
definition ).
fof(f30,axiom,
! [X34,X35] :
( greater(X35,X34)
<=> ? [X36] : vplus(X34,X36) = X35 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f187,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f155]) ).
fof(f39,axiom,
! [X50] : vplus(v1,X50) = vsucc(X50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f172,plain,
! [X0] : v1 != vsucc(X0),
inference(cnf_transformation,[],[f82]) ).
fof(f66,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f30]) ).
fof(f75,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f39]) ).
fof(f77,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f41]) ).
fof(f78,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f42]) ).
fof(f79,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f43]) ).
fof(f80,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f44]) ).
fof(f81,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f82,plain,
! [X0] : v1 != vsucc(X0),
inference(rectify,[],[f46]) ).
fof(f102,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f78]) ).
fof(f103,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f80]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f113,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f114,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f113]) ).
fof(f116,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK1(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f114,f115]) ).
fof(f31,axiom,
! [X37,X38] :
( ? [X40] : vplus(X37,X40) = X38
| ? [X39] : vplus(X38,X39) = X37
| X37 = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f154,plain,
! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f31]) ).
fof(f119,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK3(X0,X1)) = X0
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f67,f118,f117]) ).
fof(f32,axiom,
! [X37,X38] :
( ~ ? [X40] : vplus(X37,X40) = X38
| X37 != X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f156,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK3(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f68,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f32]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f68]) ).
fof(f155,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f157,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f33,axiom,
! [X37,X38] :
( ~ ? [X40] : vplus(X37,X40) = X38
| ~ ? [X39] : vplus(X38,X39) = X37 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f188,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f157]) ).
fof(f69,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f33]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f69]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f99]) ).
fof(f34,axiom,
! [X37,X38] :
( ~ ? [X39] : vplus(X38,X39) = X37
| X37 != X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f189,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f158]) ).
fof(f70,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f34]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f70]) ).
fof(f159,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f35,axiom,
! [X41,X42] :
( X41 != X42
=> ! [X43] : vplus(X43,X41) != vplus(X43,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f190,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f159]) ).
fof(f71,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f35]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f71]) ).
fof(f36,axiom,
! [X44,X45] : vplus(X44,X45) != X45,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f160,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f72,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f36]) ).
fof(f37,axiom,
! [X46,X47] : vplus(X47,X46) = vplus(X46,X47),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f161,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f72]) ).
fof(f73,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f37]) ).
fof(f38,axiom,
! [X48,X49] : vplus(vsucc(X48),X49) = vsucc(vplus(X48,X49)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f162,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f73]) ).
fof(f74,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f38]) ).
fof(f163,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f74]) ).
fof(f164,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f75]) ).
fof(f40,axiom,
! [X51,X52,X53] : vplus(vplus(X51,X52),X53) = vplus(X51,vplus(X52,X53)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f173,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f163,f164,f164]) ).
fof(f76,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f40]) ).
fof(f165,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f76]) ).
fof(f166,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f77]) ).
fof(f42,axiom,
! [X56] :
( v1 != X56
=> vsucc(vskolem2(X56)) = X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f175,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f166,f164,f164]) ).
fof(f167,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f77]) ).
fof(f41,axiom,
! [X54,X55] :
( vplus(X54,v1) = vsucc(X54)
& vplus(X54,vsucc(X55)) = vsucc(vplus(X54,X55)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f174,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f167,f164]) ).
fof(f168,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f102]) ).
fof(f43,axiom,
! [X57] : vsucc(X57) != X57,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f176,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f168,f164]) ).
fof(f169,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f79]) ).
fof(f44,axiom,
! [X58,X59] :
( X58 != X59
=> vsucc(X58) != vsucc(X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f177,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f169,f164]) ).
fof(f170,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f45,axiom,
! [X60,X61] :
( vsucc(X60) = vsucc(X61)
=> X60 = X61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f178,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f170,f164,f164]) ).
fof(f171,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f46,axiom,
! [X62] : v1 != vsucc(X62),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f179,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f171,f164,f164]) ).
cnf(c_92,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f165]) ).
cnf(c_119,negated_conjecture,
~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
inference(theory_normalisation,[status(thm)],[c_49,c_92,c_90]) ).
cnf(c_120,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(theory_normalisation,[status(thm)],[c_51,c_92,c_90]) ).
cnf(c_121,plain,
greater(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(theory_normalisation,[status(thm)],[c_53,c_92,c_90]) ).
cnf(c_657,negated_conjecture,
~ greater(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_119,c_656,c_655]) ).
cnf(c_1002,plain,
greater(vplus(vd345,vd347),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_120,c_656]) ).
cnf(c_1029,plain,
less(sP1_iProver_def,vplus(vd345,vd347)),
inference(superposition,[status(thm)],[c_1002,c_75]) ).
cnf(c_1036,plain,
greater(sP0_iProver_def,vplus(vd345,vd347)),
inference(light_normalisation,[status(thm)],[c_121,c_655]) ).
cnf(c_1037,plain,
less(vplus(vd345,vd347),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1036,c_75]) ).
cnf(c_1064,plain,
leq(sP1_iProver_def,vplus(vd345,vd347)),
inference(superposition,[status(thm)],[c_1029,c_69]) ).
cnf(c_1065,plain,
~ greater(vplus(vd345,vd347),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1037,c_78]) ).
cnf(c_1084,plain,
( sP0_iProver_def = sP1_iProver_def
| less(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_76,c_657]) ).
cnf(c_1377,plain,
( ~ leq(sP1_iProver_def,X0)
| sP0_iProver_def = sP1_iProver_def
| less(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_1084,c_63]) ).
cnf(c_1532,plain,
( sP0_iProver_def = sP1_iProver_def
| less(sP0_iProver_def,vplus(vd345,vd347)) ),
inference(superposition,[status(thm)],[c_1064,c_1377]) ).
cnf(c_1693,plain,
( sP0_iProver_def = sP1_iProver_def
| greater(vplus(vd345,vd347),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1532,c_74]) ).
cnf(c_1697,plain,
sP0_iProver_def = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_1693,c_1065]) ).
cnf(c_1712,plain,
greater(vplus(vd345,vd347),sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1002,c_1697]) ).
cnf(c_1714,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1712,c_1065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Jun 23 03:42:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 3.64/1.20 % SZS status Started for theBenchmark.p
% 3.64/1.20 % SZS status Theorem for theBenchmark.p
% 3.64/1.20
% 3.64/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.64/1.20
% 3.64/1.20 ------ iProver source info
% 3.64/1.20
% 3.64/1.20 git: date: 2024-06-12 09:56:46 +0000
% 3.64/1.20 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.64/1.20 git: non_committed_changes: false
% 3.64/1.20
% 3.64/1.20 ------ Parsing...
% 3.64/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.64/1.20
% 3.64/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.64/1.20
% 3.64/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.64/1.20
% 3.64/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.64/1.20 ------ Proving...
% 3.64/1.20 ------ Problem Properties
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20 clauses 38
% 3.64/1.20 conjectures 1
% 3.64/1.20 EPR 18
% 3.64/1.20 Horn 33
% 3.64/1.20 unary 16
% 3.64/1.20 binary 14
% 3.64/1.20 lits 68
% 3.64/1.20 lits eq 20
% 3.64/1.20 fd_pure 0
% 3.64/1.20 fd_pseudo 0
% 3.64/1.20 fd_cond 0
% 3.64/1.20 fd_pseudo_cond 5
% 3.64/1.20 AC symbols 1
% 3.64/1.20
% 3.64/1.20 ------ Schedule dynamic 5 is on
% 3.64/1.20
% 3.64/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20 ------
% 3.64/1.20 Current options:
% 3.64/1.20 ------
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20 ------ Proving...
% 3.64/1.20
% 3.64/1.20
% 3.64/1.20 % SZS status Theorem for theBenchmark.p
% 3.64/1.20
% 3.64/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.20
% 3.64/1.20
%------------------------------------------------------------------------------