%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO010-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:19:31 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.15s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 38 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( colinear(X2,X0,X1)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
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(f22,axiom,
! [X2,X0,X1] :
( between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
fof(f97,axiom,
! [X2,X0,X1] :
( colinear(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
fof(f98,axiom,
! [X2,X0,X1] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
fof(f99,axiom,
! [X2,X0,X1] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
fof(f100,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
fof(f101,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X0,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X2,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_228,plain,
colinear(a,b,c),
inference(cnf_transformation,[],[f100]) ).
tcf(c_229,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_2053,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(demodulation,[status(thm)],[c_229]) ).
tcf(c_3740,plain,
( colinear(a,c,b)
| ~ between(b,c,a) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_3741,plain,
( colinear(a,c,b)
| ~ between(a,b,c) ),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_3761,plain,
( between(c,a,b)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_228,c_162]) ).
tcf(c_3804,plain,
( colinear(a,c,b)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3761,c_227]) ).
tcf(c_3805,plain,
( colinear(c,b,a)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3761,c_226]) ).
tcf(c_3806,plain,
( colinear(b,a,c)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3761,c_225]) ).
tcf(c_3809,plain,
( colinear(b,c,a)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3761,c_160]) ).
tcf(c_3810,plain,
( colinear(c,a,b)
| between(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3761,c_159]) ).
tcf(c_3863,plain,
colinear(a,c,b),
inference(global_subsumption_just,[status(thm)],[c_3804,c_3740,c_3741,c_3804]) ).
tcf(c_3865,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2053,c_3863]) ).
tcf(c_3885,plain,
( between(a,b,c)
| between(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_3805,c_3810,c_3809,c_3806,c_3805,c_3865]) ).
tcf(c_3886,plain,
( between(b,c,a)
| between(a,b,c) ),
inference(renaming,[status(thm)],[c_3885]) ).
tcf(c_3896,plain,
( colinear(c,b,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3886,c_227]) ).
tcf(c_3897,plain,
( colinear(b,a,c)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3886,c_226]) ).
tcf(c_3900,plain,
( colinear(c,a,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3886,c_161]) ).
tcf(c_3902,plain,
( colinear(b,c,a)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_3886,c_159]) ).
tcf(c_3931,plain,
between(a,b,c),
inference(global_subsumption_just,[status(thm)],[c_3896,c_3865,c_3902,c_3900,c_3897,c_3896]) ).
tcf(c_3938,plain,
colinear(b,a,c),
inference(superposition,[status(thm)],[c_3931,c_227]) ).
tcf(c_3940,plain,
colinear(c,b,a),
inference(superposition,[status(thm)],[c_3931,c_225]) ).
tcf(c_3942,plain,
colinear(b,c,a),
inference(superposition,[status(thm)],[c_3931,c_161]) ).
tcf(c_3943,plain,
colinear(c,a,b),
inference(superposition,[status(thm)],[c_3931,c_160]) ).
tcf(c_3955,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3865,c_3938]) ).
tcf(c_3956,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3955,c_3940,c_3943,c_3942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO010-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 10:19:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.35/1.15 % SZS status Started for theBenchmark.p
% 3.35/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.15
% 3.35/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/1.15
% 3.35/1.15 % ------ iProver source info
% 3.35/1.15
% 3.35/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/1.15 % git: non_committed_changes: false
% 3.35/1.15
% 3.35/1.15 % ------ Parsing...% successful
% 3.35/1.15
% 3.35/1.15
% 3.35/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/1.15
% 3.35/1.15 % ------ Preprocessing... sup_sim: 1 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 %
% 3.35/1.15
% 3.35/1.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.35/1.15
% 3.35/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.35/1.15 % ------ Proving...
% 3.35/1.15 % ------ Problem Properties
% 3.35/1.15
% 3.35/1.15 %
% 3.35/1.15 % clauses 80
% 3.35/1.15 % conjectures 1
% 3.35/1.15 % EPR 57
% 3.35/1.15 % Horn 61
% 3.35/1.15 % unary 19
% 3.35/1.15 % binary 21
% 3.35/1.15 % lits 232
% 3.35/1.15 % lits eq 36
% 3.35/1.15 % fd_pure 0
% 3.35/1.15 % fd_pseudo 0
% 3.35/1.15 % fd_cond 0
% 3.35/1.15 % fd_pseudo_cond 21
% 3.35/1.15 % AC symbols 0
% 3.35/1.15
% 3.35/1.15 % ------ Schedule dynamic 5 is on
% 3.35/1.15
% 3.35/1.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.35/1.15
% 3.35/1.15
% 3.35/1.15 % ------
% 3.35/1.15 % Current options:
% 3.35/1.15 % ------
% 3.35/1.15
% 3.35/1.15
% 3.35/1.15 %
% 3.35/1.15
% 3.35/1.15 % ------ Proving...
% 3.35/1.15 %
% 3.35/1.15
% 3.35/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.15
% 3.35/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.15
% 3.35/1.15
%------------------------------------------------------------------------------