%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO013-3 : 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 : n002.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 01:19:33 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.18s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 50 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f111,axiom,
! [X2,X3,X0,X1] :
( X0 = X1
| colinear(X0,X2,X3)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_1) ).
fof(f112,axiom,
! [X2,X3,X0,X1] :
( X0 = X1
| colinear(X1,X2,X3)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_2) ).
fof(f117,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
fof(f118,axiom,
colinear(a,b,d1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_colinear) ).
fof(f119,axiom,
colinear(a,b,d2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd2_colinear) ).
fof(f120,axiom,
colinear(a,b,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd3_colinear) ).
fof(f121,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( colinear(X0,X2,X3)
| ( X0 = X1 )
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( colinear(X1,X2,X3)
| ( X0 = X1 )
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_261,plain,
a != b,
inference(cnf_transformation,[],[f117]) ).
tcf(c_262,plain,
colinear(a,b,d1),
inference(cnf_transformation,[],[f118]) ).
tcf(c_263,plain,
colinear(a,b,d2),
inference(cnf_transformation,[],[f119]) ).
tcf(c_264,plain,
colinear(a,b,d3),
inference(cnf_transformation,[],[f120]) ).
tcf(c_265,negated_conjecture,
~ colinear(d1,d2,d3),
inference(cnf_transformation,[],[f121]) ).
tcf(c_4300,plain,
! [X0: $i] :
( colinear(b,d1,X0)
| ( a = b )
| ~ colinear(a,b,X0) ),
inference(superposition,[status(thm)],[c_262,c_258]) ).
tcf(c_4301,plain,
! [X0: $i] :
( colinear(b,d2,X0)
| ( a = b )
| ~ colinear(a,b,X0) ),
inference(superposition,[status(thm)],[c_263,c_258]) ).
tcf(c_5169,plain,
! [X0: $i] :
( colinear(b,d2,X0)
| ~ colinear(a,b,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4301,c_261,c_4301]) ).
tcf(c_5180,plain,
colinear(b,d2,d3),
inference(superposition,[status(thm)],[c_264,c_5169]) ).
tcf(c_5191,plain,
! [X0: $i] :
( colinear(b,d1,X0)
| ~ colinear(a,b,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4300,c_261,c_4300]) ).
tcf(c_5201,plain,
colinear(b,d1,d2),
inference(superposition,[status(thm)],[c_263,c_5191]) ).
tcf(c_5202,plain,
colinear(b,d1,d3),
inference(superposition,[status(thm)],[c_264,c_5191]) ).
tcf(c_6967,plain,
! [X0: $i] :
( colinear(b,d2,X0)
| ( b = d1 )
| ~ colinear(b,d1,X0) ),
inference(superposition,[status(thm)],[c_5201,c_257]) ).
tcf(c_6968,plain,
! [X0: $i] :
( colinear(d1,d2,X0)
| ( b = d1 )
| ~ colinear(b,d1,X0) ),
inference(superposition,[status(thm)],[c_5201,c_258]) ).
tcf(c_10682,plain,
( colinear(d1,d2,d3)
| ( b = d1 ) ),
inference(superposition,[status(thm)],[c_5202,c_6968]) ).
tcf(c_10695,plain,
b = d1,
inference(global_subsumption_just,[status(thm)],[c_6967,c_265,c_10682]) ).
tcf(c_10787,plain,
~ colinear(b,d2,d3),
inference(superposition,[status(thm)],[c_10695,c_265]) ).
tcf(c_10789,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5180,c_10787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO013-3 : 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 : n002.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 10:25:48 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.71/1.18 % SZS status Started for theBenchmark.p
% 3.71/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.18
% 3.71/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.71/1.18
% 3.71/1.18 % ------ iProver source info
% 3.71/1.18
% 3.71/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.71/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.71/1.18 % git: non_committed_changes: false
% 3.71/1.18
% 3.71/1.18 % ------ Parsing...% successful
% 3.71/1.18
% 3.71/1.18
% 3.71/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 % ------ Problem Properties
% 3.71/1.18
% 3.71/1.18 %
% 3.71/1.18 % clauses 107
% 3.71/1.18 % conjectures 1
% 3.71/1.18 % EPR 77
% 3.71/1.18 % Horn 82
% 3.71/1.18 % unary 35
% 3.71/1.18 % binary 26
% 3.71/1.18 % lits 282
% 3.71/1.18 % lits eq 47
% 3.71/1.18 % fd_pure 0
% 3.71/1.18 % fd_pseudo 0
% 3.71/1.18 % fd_cond 0
% 3.71/1.18 % fd_pseudo_cond 27
% 3.71/1.18 % AC symbols 0
% 3.71/1.18
% 3.71/1.18 % ------ Input Options Time Limit: Unbounded
% 3.71/1.18
% 3.71/1.18
% 3.71/1.18 % ------
% 3.71/1.18 % Current options:
% 3.71/1.18 % ------
% 3.71/1.18
% 3.71/1.18
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % ------ Proving...
% 3.71/1.18 %
% 3.71/1.18
% 3.71/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.18
% 3.71/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.18
% 3.71/1.18
%------------------------------------------------------------------------------