%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO066-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:19:45 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.16s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 50 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( colinear(X1,X2,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
fof(f23,axiom,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f24,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X2,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,plain,
between(v,u,w),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
~ colinear(u,v,w),
inference(cnf_transformation,[],[f24]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ between(X2,X1,X0)
| ( X2 != w )
| ( X1 != u )
| ( X0 != v ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_93]) ).
tcf(c_381,plain,
~ between(w,u,v),
inference(unflattening,[status(thm)],[c_380]) ).
tcf(c_615,plain,
~ between(w,u,v),
inference(demodulation,[status(thm)],[c_381]) ).
tcf(c_926,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_77,c_75]) ).
tcf(c_940,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_926,c_76]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inner_pasch(X0,X1,X2,X3,X1) = X1 )
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_80,c_79]) ).
tcf(c_2193,plain,
! [X0: $i] :
( ( inner_pasch(v,u,w,X0,u) = u )
| ~ between(u,X0,w) ),
inference(superposition,[status(thm)],[c_95,c_1098]) ).
tcf(c_2246,plain,
inner_pasch(v,u,w,w,u) = u,
inference(superposition,[status(thm)],[c_940,c_2193]) ).
tcf(c_2407,plain,
( between(w,u,v)
| ~ between(u,w,w)
| ~ between(v,u,w) ),
inference(superposition,[status(thm)],[c_2246,c_81]) ).
tcf(c_2409,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2407,c_615,c_940,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO066-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 10:40:27 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.35/1.16 % SZS status Started for theBenchmark.p
% 3.35/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.16
% 3.35/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/1.16
% 3.35/1.16 % ------ iProver source info
% 3.35/1.16
% 3.35/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/1.16 % git: non_committed_changes: false
% 3.35/1.16
% 3.35/1.16 % ------ Parsing...% successful
% 3.35/1.16
% 3.35/1.16
% 3.35/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/1.16
% 3.35/1.16 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.35/1.16
% 3.35/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.35/1.16
% 3.35/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.35/1.16 % ------ Proving...
% 3.35/1.16 % ------ Problem Properties
% 3.35/1.16
% 3.35/1.16 %
% 3.35/1.16 % clauses 22
% 3.35/1.16 % conjectures 0
% 3.35/1.16 % EPR 13
% 3.35/1.16 % Horn 17
% 3.35/1.16 % unary 10
% 3.35/1.16 % binary 2
% 3.35/1.16 % lits 60
% 3.35/1.16 % lits eq 7
% 3.35/1.16 % fd_pure 0
% 3.35/1.16 % fd_pseudo 0
% 3.35/1.16 % fd_cond 0
% 3.35/1.16 % fd_pseudo_cond 7
% 3.35/1.16 % AC symbols 0
% 3.35/1.16
% 3.35/1.16 % ------ Schedule dynamic 5 is on
% 3.35/1.16
% 3.35/1.16 % ------ no conjectures: strip conj schedule
% 3.35/1.16
% 3.35/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.35/1.16
% 3.35/1.16
% 3.35/1.16 % ------
% 3.35/1.16 % Current options:
% 3.35/1.16 % ------
% 3.35/1.16
% 3.35/1.16
% 3.35/1.16 %
% 3.35/1.16
% 3.35/1.16 % ------ Proving...
% 3.35/1.16 %
% 3.35/1.16
% 3.35/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.16
% 3.35/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.16
% 3.35/1.16
%------------------------------------------------------------------------------