TSTP Solution File: GEO178+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO178+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:16:42 EDT 2024
% Result : Theorem 1.74s 1.11s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_63,negated_conjecture,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_203,plain,
line_connecting(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_204,negated_conjecture,
distinct_points(sK0,sK1),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_205,negated_conjecture,
apart_point_and_line(sK2,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_64,c_203]) ).
cnf(c_206,negated_conjecture,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_426,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_203,c_55]) ).
cnf(c_427,plain,
~ apart_point_and_line(sK0,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_426,c_204]) ).
cnf(c_432,plain,
( ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_203,c_56]) ).
cnf(c_433,plain,
~ apart_point_and_line(sK1,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_432,c_204]) ).
cnf(c_440,plain,
( distinct_points(sK2,X0)
| apart_point_and_line(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_205,c_60]) ).
cnf(c_443,plain,
( distinct_points(sK2,sK0)
| apart_point_and_line(sK0,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_450,plain,
( ~ distinct_points(sK2,sK0)
| apart_point_and_line(sK1,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_440,c_206]) ).
cnf(c_451,plain,
~ distinct_points(sK2,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_450,c_433]) ).
cnf(c_455,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_451,c_443,c_427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO178+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:37:06 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 1.74/1.11 % SZS status Started for theBenchmark.p
% 1.74/1.11 % SZS status Theorem for theBenchmark.p
% 1.74/1.11
% 1.74/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.74/1.11
% 1.74/1.11 ------ iProver source info
% 1.74/1.11
% 1.74/1.11 git: date: 2024-05-02 19:28:25 +0000
% 1.74/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.74/1.11 git: non_committed_changes: false
% 1.74/1.11
% 1.74/1.11 ------ Parsing...
% 1.74/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.74/1.11
% 1.74/1.11 ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.74/1.11
% 1.74/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.74/1.11
% 1.74/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.74/1.11 ------ Proving...
% 1.74/1.11 ------ Problem Properties
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11 clauses 13
% 1.74/1.11 conjectures 3
% 1.74/1.11 EPR 10
% 1.74/1.11 Horn 8
% 1.74/1.11 unary 5
% 1.74/1.11 binary 3
% 1.74/1.11 lits 29
% 1.74/1.11 lits eq 1
% 1.74/1.11 fd_pure 0
% 1.74/1.11 fd_pseudo 0
% 1.74/1.11 fd_cond 0
% 1.74/1.11 fd_pseudo_cond 0
% 1.74/1.11 AC symbols 0
% 1.74/1.11
% 1.74/1.11 ------ Schedule dynamic 5 is on
% 1.74/1.11
% 1.74/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11 ------
% 1.74/1.11 Current options:
% 1.74/1.11 ------
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11 ------ Proving...
% 1.74/1.11
% 1.74/1.11
% 1.74/1.11 % SZS status Theorem for theBenchmark.p
% 1.74/1.11
% 1.74/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/1.11
% 1.74/1.11
%------------------------------------------------------------------------------