TSTP Solution File: GEO300+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO300+1 : TPTP v8.1.2. 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 : Wed Aug 30 23:10:56 EDT 2023
% Result : Theorem 7.04s 1.69s
% Output : CNFRefutation 7.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f950)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(negated_conjecture,[],[f1]) ).
fof(f4,axiom,
~ rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(323)') ).
fof(f8,axiom,
? [X6] :
( rpoint(X6)
& vd1201 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f163,plain,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(flattening,[],[f2]) ).
fof(f165,plain,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
inference(rectify,[],[f8]) ).
fof(f496,plain,
( ? [X0] :
( rpoint(X0)
& vd1201 = X0 )
=> ( rpoint(sK1)
& vd1201 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f497,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f165,f496]) ).
fof(f498,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
=> ( rpoint(sK2)
& vd1178 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f499,plain,
( ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
=> ( rpoint(sK3)
& vd1179 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f500,plain,
( ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
=> ( rpoint(sK4)
& vd1180 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f501,plain,
( ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
=> ( rpoint(sK5)
& vd1185 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f502,plain,
( ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
=> ( rpoint(sK6)
& vd1186 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f503,plain,
( ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
=> ( rpoint(sK7)
& vd1187 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f606,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
=> ( rpoint(sK49(X0,X1))
& sK49(X0,X1) = X0
& rcircle(sK50(X0,X1))
& sK50(X0,X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f620,plain,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(cnf_transformation,[],[f163]) ).
fof(f622,plain,
~ rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f4]) ).
fof(f626,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f497]) ).
fof(f627,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f497]) ).
cnf(c_49,negated_conjecture,
vplus(vf(sK5,sK7),vf(sK7,sK1)) != vf(sK5,sK1),
inference(cnf_transformation,[],[f925]) ).
cnf(c_55,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f627]) ).
cnf(c_74,plain,
sK5 = sK8,
inference(cnf_transformation,[],[f941]) ).
cnf(c_92,plain,
vf(sK5,sK7) = vf(sK8,sK1),
inference(cnf_transformation,[],[f950]) ).
cnf(c_97,plain,
( sK5 = sK8
| rR(sK5,sK8,sK6)
| rR(sK8,sK5,sK6) ),
inference(cnf_transformation,[],[f955]) ).
cnf(c_510,plain,
sK5 = sK8,
inference(global_subsumption_just,[status(thm)],[c_97,c_74]) ).
cnf(c_3611,plain,
vf(sK5,sK1) = vf(sK5,sK7),
inference(light_normalisation,[status(thm)],[c_92,c_510]) ).
cnf(c_3710,plain,
vplus(vf(sK5,sK1),vf(sK7,sK1)) != vf(sK5,sK1),
inference(light_normalisation,[status(thm)],[c_49,c_3611]) ).
fof(f135,axiom,
! [X591,X592] :
( rcenter(X591,X592)
=> ? [X593,X594] :
( rpoint(X593)
& X591 = X593
& rcircle(X594)
& X592 = X594 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f877,plain,
! [X0,X1] :
( rcircle(sK50(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f607]) ).
fof(f252,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f135]) ).
fof(f455,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f252]) ).
fof(f607,plain,
! [X0,X1] :
( ( rpoint(sK49(X0,X1))
& sK49(X0,X1) = X0
& rcircle(sK50(X0,X1))
& sK50(X0,X1) = X1 )
| ~ rcenter(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f455,f606]) ).
fof(f136,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)') ).
fof(f876,plain,
! [X0,X1] :
( sK50(X0,X1) = X1
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f607]) ).
fof(f880,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f136]) ).
fof(f9,axiom,
( ? [X13] :
( rpoint(X13)
& vd1178 = X13 )
& ? [X12] :
( rpoint(X12)
& vd1179 = X12 )
& ? [X11] :
( rpoint(X11)
& vd1180 = X11 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X10] :
( rpoint(X10)
& vd1185 = X10 )
& ? [X9] :
( rpoint(X9)
& vd1186 = X9 )
& ? [X8] :
( rpoint(X8)
& vd1187 = X8 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1185,vd1187) = vf(vd1178,vd1180)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X7] :
( rline(X7)
& ron(vd1185,X7)
& ron(vd1186,X7)
& ron(vd1187,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f883,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f139]) ).
fof(f137,axiom,
ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(315)), 0)') ).
fof(f977,plain,
ron(sK7,vd1232),
inference(definition_unfolding,[],[f880,f632]) ).
fof(f138,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(315)), 0)') ).
fof(f978,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f881,f626]) ).
fof(f166,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1185,vd1187) = vf(vd1178,vd1180)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X6] :
( rline(X6)
& ron(vd1185,X6)
& ron(vd1186,X6)
& ron(vd1187,X6) ) ),
inference(rectify,[],[f9]) ).
fof(f281,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1185,vd1187) = vf(vd1178,vd1180)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(ennf_transformation,[],[f166]) ).
fof(f504,plain,
( rpoint(sK2)
& vd1178 = sK2
& rpoint(sK3)
& vd1179 = sK3
& rpoint(sK4)
& vd1180 = sK4
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK5)
& vd1185 = sK5
& rpoint(sK6)
& vd1186 = sK6
& rpoint(sK7)
& vd1187 = sK7
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1185,vd1187) = vf(vd1178,vd1180)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f281,f503,f502,f501,f500,f499,f498]) ).
fof(f632,plain,
vd1187 = sK7,
inference(cnf_transformation,[],[f504]) ).
fof(f633,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f504]) ).
fof(f636,plain,
vd1185 = sK5,
inference(cnf_transformation,[],[f504]) ).
fof(f3,axiom,
rR(vd1187,vd1185,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(330, 1259, 0)') ).
fof(f925,plain,
vf(sK5,sK1) != vplus(vf(sK5,sK7),vf(sK7,sK1)),
inference(definition_unfolding,[],[f620,f636,f626,f636,f632,f632,f626]) ).
fof(f5,axiom,
vd1201 != vd1187,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).
fof(f927,plain,
~ rR(sK1,sK5,sK7),
inference(definition_unfolding,[],[f622,f626,f636,f632]) ).
fof(f621,plain,
rR(vd1187,vd1185,vd1201),
inference(cnf_transformation,[],[f3]) ).
fof(f623,plain,
vd1201 != vd1187,
inference(cnf_transformation,[],[f5]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& rR(X1,X0,X2) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f928,plain,
sK1 != sK7,
inference(definition_unfolding,[],[f623,f626,f632]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
inference(rectify,[],[f6]) ).
fof(f279,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f164]) ).
fof(f280,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f279]) ).
fof(f624,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f637,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f504]) ).
fof(f881,plain,
ron(vd1201,vd1232),
inference(cnf_transformation,[],[f137]) ).
fof(f882,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f138]) ).
fof(f139,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f979,plain,
ron(sK5,vd1232),
inference(definition_unfolding,[],[f882,f636]) ).
fof(f926,plain,
rR(sK7,sK5,sK1),
inference(definition_unfolding,[],[f621,f632,f636,f626]) ).
fof(f985,plain,
! [X2,X3,X1,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X1),vf(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f624]) ).
fof(f986,plain,
! [X2,X3,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X4),vf(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f985]) ).
fof(f987,plain,
! [X3,X4,X5] :
( vf(X3,X5) = vplus(vf(X3,X4),vf(X4,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f986]) ).
cnf(c_50,plain,
rR(sK7,sK5,sK1),
inference(cnf_transformation,[],[f926]) ).
cnf(c_53,plain,
( ~ rR(X0,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2) ),
inference(cnf_transformation,[],[f987]) ).
cnf(c_62,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f637]) ).
cnf(c_64,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f633]) ).
cnf(c_21939,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ rpoint(sK7)
| vplus(vf(sK5,sK7),vf(sK7,sK1)) = vf(sK5,sK1) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_21940,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ rpoint(sK7)
| vplus(vf(sK5,sK1),vf(sK7,sK1)) = vf(sK5,sK1) ),
inference(light_normalisation,[status(thm)],[c_21939,c_3611]) ).
cnf(c_21941,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21940,c_3710,c_64,c_55,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO300+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 23:36:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.04/1.69 % SZS status Started for theBenchmark.p
% 7.04/1.69 % SZS status Theorem for theBenchmark.p
% 7.04/1.69
% 7.04/1.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.04/1.69
% 7.04/1.69 ------ iProver source info
% 7.04/1.69
% 7.04/1.69 git: date: 2023-05-31 18:12:56 +0000
% 7.04/1.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.04/1.69 git: non_committed_changes: false
% 7.04/1.69 git: last_make_outside_of_git: false
% 7.04/1.69
% 7.04/1.69 ------ Parsing...
% 7.04/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.04/1.69
% 7.04/1.69 ------ Preprocessing... sup_sim: 22 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 7.04/1.69
% 7.04/1.69 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.04/1.69
% 7.04/1.69 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 7.04/1.69 ------ Proving...
% 7.04/1.69 ------ Problem Properties
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69 clauses 278
% 7.04/1.69 conjectures 0
% 7.04/1.69 EPR 84
% 7.04/1.69 Horn 197
% 7.04/1.69 unary 41
% 7.04/1.69 binary 42
% 7.04/1.69 lits 1524
% 7.04/1.69 lits eq 192
% 7.04/1.69 fd_pure 0
% 7.04/1.69 fd_pseudo 0
% 7.04/1.69 fd_cond 0
% 7.04/1.69 fd_pseudo_cond 50
% 7.04/1.69 AC symbols 0
% 7.04/1.69
% 7.04/1.69 ------ Schedule dynamic 5 is on
% 7.04/1.69
% 7.04/1.69 ------ no conjectures: strip conj schedule
% 7.04/1.69
% 7.04/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69 ------
% 7.04/1.69 Current options:
% 7.04/1.69 ------
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69 ------ Proving...
% 7.04/1.69
% 7.04/1.69
% 7.04/1.69 % SZS status Theorem for theBenchmark.p
% 7.04/1.69
% 7.04/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.04/1.69
% 7.04/1.69
%------------------------------------------------------------------------------