TSTP Solution File: GEO299+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO299+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 7.03s 1.71s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f985)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(negated_conjecture,[],[f1]) ).
fof(f22,axiom,
? [X14] :
( rpoint(X14)
& vd1201 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f23,axiom,
? [X15] :
( rpoint(X15)
& vd1199 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f162,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(flattening,[],[f2]) ).
fof(f165,plain,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
inference(rectify,[],[f22]) ).
fof(f166,plain,
? [X0] :
( rpoint(X0)
& vd1199 = X0 ),
inference(rectify,[],[f23]) ).
fof(f495,plain,
( ? [X0] :
( rpoint(X0)
& vd1201 = X0 )
=> ( rpoint(sK1)
& vd1201 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f496,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f165,f495]) ).
fof(f497,plain,
( ? [X0] :
( rpoint(X0)
& vd1199 = X0 )
=> ( rpoint(sK2)
& vd1199 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f498,plain,
( rpoint(sK2)
& vd1199 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f166,f497]) ).
fof(f499,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
=> ( rpoint(sK3)
& vd1178 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f500,plain,
( ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
=> ( rpoint(sK4)
& vd1179 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f501,plain,
( ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
=> ( rpoint(sK5)
& vd1180 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f502,plain,
( ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
=> ( rpoint(sK6)
& vd1185 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f503,plain,
( ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
=> ( rpoint(sK7)
& vd1186 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f504,plain,
( ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
=> ( rpoint(sK8)
& vd1187 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f528,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
=> ( rpoint(sK14(X0,X1))
& sK14(X0,X1) = X0
& rcircle(sK15(X0,X1))
& sK15(X0,X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f619,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(cnf_transformation,[],[f162]) ).
fof(f639,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f496]) ).
fof(f640,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f496]) ).
fof(f641,plain,
vd1199 = sK2,
inference(cnf_transformation,[],[f498]) ).
cnf(c_49,negated_conjecture,
vplus(vf(sK6,sK1),vf(sK1,sK8)) != vf(sK6,sK8),
inference(cnf_transformation,[],[f924]) ).
cnf(c_55,plain,
( ~ rR(X0,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2) ),
inference(cnf_transformation,[],[f985]) ).
cnf(c_69,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f640]) ).
cnf(c_106,plain,
( sK6 = sK2
| rR(sK6,sK2,sK7)
| rR(sK2,sK6,sK7) ),
inference(cnf_transformation,[],[f954]) ).
cnf(c_137,plain,
sK6 = sK2,
inference(cnf_transformation,[],[f975]) ).
cnf(c_161,plain,
vf(sK6,sK8) = vf(sK2,sK1),
inference(cnf_transformation,[],[f978]) ).
cnf(c_511,plain,
sK6 = sK2,
inference(global_subsumption_just,[status(thm)],[c_106,c_137]) ).
cnf(c_3593,plain,
vf(sK6,sK8) = vf(sK6,sK1),
inference(light_normalisation,[status(thm)],[c_161,c_511]) ).
cnf(c_3703,plain,
vplus(vf(sK6,sK1),vf(sK1,sK8)) != vf(sK6,sK1),
inference(light_normalisation,[status(thm)],[c_49,c_3593]) ).
fof(f81,axiom,
! [X182,X183] :
( rcenter(X182,X183)
=> ? [X184,X185] :
( rpoint(X184)
& X182 = X184
& rcircle(X185)
& X183 = X185 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f738,plain,
! [X0,X1] :
( rcircle(sK15(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f529]) ).
fof(f196,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f81]) ).
fof(f347,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f196]) ).
fof(f529,plain,
! [X0,X1] :
( ( rpoint(sK14(X0,X1))
& sK14(X0,X1) = X0
& rcircle(sK15(X0,X1))
& sK15(X0,X1) = X1 )
| ~ rcenter(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f347,f528]) ).
fof(f82,axiom,
vf(vd1185,vd1187) = vf(vd1199,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(314, 1247, 0)') ).
fof(f737,plain,
! [X0,X1] :
( sK15(X0,X1) = X1
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f529]) ).
fof(f741,plain,
vf(vd1185,vd1187) = vf(vd1199,vd1201),
inference(cnf_transformation,[],[f82]) ).
fof(f26,axiom,
( ? [X22] :
( rpoint(X22)
& vd1178 = X22 )
& ? [X21] :
( rpoint(X21)
& vd1179 = X21 )
& ? [X20] :
( rpoint(X20)
& vd1180 = X20 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X19] :
( rpoint(X19)
& vd1185 = X19 )
& ? [X18] :
( rpoint(X18)
& vd1186 = X18 )
& ? [X17] :
( rpoint(X17)
& vd1187 = X17 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1185,vd1187) = vf(vd1178,vd1180)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X16] :
( rline(X16)
& ron(vd1185,X16)
& ron(vd1186,X16)
& ron(vd1187,X16) ) ),
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(f742,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f83]) ).
fof(f167,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,[],[f26]) ).
fof(f286,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,[],[f167]) ).
fof(f505,plain,
( rpoint(sK3)
& vd1178 = sK3
& rpoint(sK4)
& vd1179 = sK4
& rpoint(sK5)
& vd1180 = sK5
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK6)
& vd1185 = sK6
& rpoint(sK7)
& vd1186 = sK7
& rpoint(sK8)
& vd1187 = sK8
& 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,[sK3,sK4,sK5,sK6,sK7,sK8])],[f286,f504,f503,f502,f501,f500,f499]) ).
fof(f649,plain,
vd1187 = sK8,
inference(cnf_transformation,[],[f505]) ).
fof(f650,plain,
rpoint(sK8),
inference(cnf_transformation,[],[f505]) ).
fof(f653,plain,
vd1185 = sK6,
inference(cnf_transformation,[],[f505]) ).
fof(f3,axiom,
rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(323, 1254, 0)') ).
fof(f924,plain,
vf(sK6,sK8) != vplus(vf(sK6,sK1),vf(sK1,sK8)),
inference(definition_unfolding,[],[f619,f653,f649,f653,f639,f639,f649]) ).
fof(f83,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f978,plain,
vf(sK6,sK8) = vf(sK2,sK1),
inference(definition_unfolding,[],[f741,f653,f649,f641,f639]) ).
fof(f620,plain,
rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f3]) ).
fof(f654,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f505]) ).
fof(f925,plain,
rR(sK1,sK6,sK8),
inference(definition_unfolding,[],[f620,f639,f653,f649]) ).
cnf(c_50,plain,
rR(sK1,sK6,sK8),
inference(cnf_transformation,[],[f925]) ).
cnf(c_79,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f654]) ).
cnf(c_81,plain,
rpoint(sK8),
inference(cnf_transformation,[],[f650]) ).
cnf(c_26287,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK8)
| ~ rpoint(sK1)
| vplus(vf(sK6,sK1),vf(sK1,sK8)) = vf(sK6,sK8) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
cnf(c_26290,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK8)
| ~ rpoint(sK1)
| vplus(vf(sK6,sK1),vf(sK1,sK8)) = vf(sK6,sK1) ),
inference(light_normalisation,[status(thm)],[c_26287,c_3593]) ).
cnf(c_26291,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26290,c_3703,c_69,c_81,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO299+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 23:37:36 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.03/1.71 % SZS status Started for theBenchmark.p
% 7.03/1.71 % SZS status Theorem for theBenchmark.p
% 7.03/1.71
% 7.03/1.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.03/1.71
% 7.03/1.71 ------ iProver source info
% 7.03/1.71
% 7.03/1.71 git: date: 2023-05-31 18:12:56 +0000
% 7.03/1.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.03/1.71 git: non_committed_changes: false
% 7.03/1.71 git: last_make_outside_of_git: false
% 7.03/1.71
% 7.03/1.71 ------ Parsing...
% 7.03/1.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.03/1.71
% 7.03/1.71 ------ Preprocessing... sup_sim: 19 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
% 7.03/1.71
% 7.03/1.71 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.03/1.71
% 7.03/1.71 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 7.03/1.71 ------ Proving...
% 7.03/1.71 ------ Problem Properties
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71 clauses 277
% 7.03/1.71 conjectures 0
% 7.03/1.71 EPR 83
% 7.03/1.71 Horn 196
% 7.03/1.71 unary 40
% 7.03/1.71 binary 42
% 7.03/1.71 lits 1523
% 7.03/1.71 lits eq 192
% 7.03/1.71 fd_pure 0
% 7.03/1.71 fd_pseudo 0
% 7.03/1.71 fd_cond 0
% 7.03/1.71 fd_pseudo_cond 50
% 7.03/1.71 AC symbols 0
% 7.03/1.71
% 7.03/1.71 ------ Schedule dynamic 5 is on
% 7.03/1.71
% 7.03/1.71 ------ no conjectures: strip conj schedule
% 7.03/1.71
% 7.03/1.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71 ------
% 7.03/1.71 Current options:
% 7.03/1.71 ------
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71 ------ Proving...
% 7.03/1.71
% 7.03/1.71
% 7.03/1.71 % SZS status Theorem for theBenchmark.p
% 7.03/1.71
% 7.03/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.03/1.71
% 7.03/1.72
%------------------------------------------------------------------------------