%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 2.12s 1.26s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 56 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 35 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( colinear(X2,X0,X1)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
fof(f56,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f59,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f100,axiom,
! [X2,X0,X1] :
( colinear(X2,X1,X0)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
fof(f101,axiom,
! [X2,X0,X1] :
( colinear(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
fof(f106,negated_conjecture,
( x = y
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
fof(f107,negated_conjecture,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X0,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(cnf_transformation,[],[f56]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(cnf_transformation,[],[f59]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X1,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_240,negated_conjecture,
( ( x = y )
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_241,negated_conjecture,
( ~ colinear(y,x,x)
| ~ colinear(x,z,y)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_350,plain,
( ( x = y )
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[c_240,c_234]) ).
tcf(c_351,plain,
( ~ colinear(x,z,y)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[c_241,c_234]) ).
tcf(c_356,plain,
( ~ colinear(x,z,y)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[c_351,c_235]) ).
tcf(c_357,plain,
( ( x = y )
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[c_350,c_235]) ).
tcf(c_2141,plain,
( ( x = y )
| ~ colinear(x,x,y) ),
inference(demodulation,[status(thm)],[c_357]) ).
tcf(c_2142,plain,
( ~ colinear(x,z,y)
| ~ colinear(x,x,y) ),
inference(demodulation,[status(thm)],[c_356]) ).
tcf(c_3240,plain,
! [X0: $i,X1: $i] : colinear(X0,X0,X1),
inference(superposition,[status(thm)],[c_196,c_165]) ).
tcf(c_3242,plain,
x = y,
inference(backward_subsumption_resolution,[status(thm)],[c_2141,c_3240]) ).
tcf(c_3243,plain,
~ colinear(x,z,y),
inference(backward_subsumption_resolution,[status(thm)],[c_2142,c_3240]) ).
tcf(c_3246,plain,
~ colinear(x,z,x),
inference(light_normalisation,[status(thm)],[c_3243,c_3242]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] : colinear(X0,X1,X0),
inference(superposition,[status(thm)],[c_193,c_166]) ).
tcf(c_3255,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3246,c_3252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 10:41:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 Running first-order theorem proving
% 0.10/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39
% 0.15/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.39
% 0.15/0.39 % Detected problem language: tptp
% 0.15/0.40 % Proving...
% 2.12/1.26 % SZS status Started for theBenchmark.p
% 2.12/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.12/1.26
% 2.12/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.12/1.26
% 2.12/1.26 % ------ iProver source info
% 2.12/1.26
% 2.12/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.12/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.12/1.26 % git: non_committed_changes: false
% 2.12/1.26
% 2.12/1.26 % ------ Parsing...% successful
% 2.12/1.26
% 2.12/1.26
% 2.12/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.12/1.26
% 2.12/1.26 % ------ 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 %
% 2.12/1.26
% 2.12/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.12/1.26
% 2.12/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.12/1.26 % ------ Proving...
% 2.12/1.26 % ------ Problem Properties
% 2.12/1.26
% 2.12/1.26 %
% 2.12/1.26 % clauses 86
% 2.12/1.26 % conjectures 0
% 2.12/1.26 % EPR 63
% 2.12/1.26 % Horn 67
% 2.12/1.26 % unary 19
% 2.12/1.26 % binary 28
% 2.12/1.26 % lits 241
% 2.12/1.26 % lits eq 37
% 2.12/1.26 % fd_pure 0
% 2.12/1.26 % fd_pseudo 0
% 2.12/1.26 % fd_cond 0
% 2.12/1.26 % fd_pseudo_cond 21
% 2.12/1.26 % AC symbols 0
% 2.12/1.26
% 2.12/1.26 % ------ Schedule dynamic 5 is on
% 2.12/1.26
% 2.12/1.26 % ------ no conjectures: strip conj schedule
% 2.12/1.26
% 2.12/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.12/1.26
% 2.12/1.26
% 2.12/1.26 % ------
% 2.12/1.26 % Current options:
% 2.12/1.26 % ------
% 2.12/1.26
% 2.12/1.26
% 2.12/1.26 %
% 2.12/1.26
% 2.12/1.26 % ------ Proving...
% 2.12/1.26 %
% 2.12/1.26
% 2.12/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.12/1.26
% 2.12/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.12/1.26
% 2.12/1.26
%------------------------------------------------------------------------------