%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO065-3 : 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 : 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 2.58s 1.28s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
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(f58,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f97,axiom,
between(u,w,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f98,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X0,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_222,plain,
between(u,w,v),
inference(cnf_transformation,[],[f97]) ).
tcf(c_223,negated_conjecture,
~ colinear(u,v,w),
inference(cnf_transformation,[],[f98]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ between(X2,X1,X0)
| ( X2 != v )
| ( X1 != w )
| ( X0 != u ) ),
inference(resolution_lifted,[status(thm)],[c_223,c_157]) ).
tcf(c_1117,plain,
~ between(v,w,u),
inference(unflattening,[status(thm)],[c_1116]) ).
tcf(c_1951,plain,
~ between(v,w,u),
inference(demodulation,[status(thm)],[c_1117]) ).
tcf(c_2920,plain,
between(v,w,u),
inference(superposition,[status(thm)],[c_222,c_186]) ).
tcf(c_2922,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2920,c_1951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO065-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:40:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.58/1.28 % SZS status Started for theBenchmark.p
% 2.58/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.28
% 2.58/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/1.28
% 2.58/1.28 % ------ iProver source info
% 2.58/1.28
% 2.58/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.58/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/1.28 % git: non_committed_changes: false
% 2.58/1.28
% 2.58/1.28 % ------ Parsing...% successful
% 2.58/1.28
% 2.58/1.28
% 2.58/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.58/1.28
% 2.58/1.28 % ------ Preprocessing... sup_sim: 1 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 %
% 2.58/1.28
% 2.58/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.58/1.28
% 2.58/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.58/1.28 % ------ Proving...
% 2.58/1.28 % ------ Problem Properties
% 2.58/1.28
% 2.58/1.28 %
% 2.58/1.28 % clauses 75
% 2.58/1.28 % conjectures 0
% 2.58/1.28 % EPR 52
% 2.58/1.28 % Horn 57
% 2.58/1.28 % unary 22
% 2.58/1.28 % binary 15
% 2.58/1.28 % lits 214
% 2.58/1.28 % lits eq 36
% 2.58/1.28 % fd_pure 0
% 2.58/1.28 % fd_pseudo 0
% 2.58/1.28 % fd_cond 0
% 2.58/1.28 % fd_pseudo_cond 21
% 2.58/1.28 % AC symbols 0
% 2.58/1.28
% 2.58/1.28 % ------ Schedule dynamic 5 is on
% 2.58/1.28
% 2.58/1.28 % ------ no conjectures: strip conj schedule
% 2.58/1.28
% 2.58/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.58/1.28
% 2.58/1.28
% 2.58/1.28 % ------
% 2.58/1.28 % Current options:
% 2.58/1.28 % ------
% 2.58/1.28
% 2.58/1.28
% 2.58/1.28 %
% 2.58/1.28
% 2.58/1.28 % ------ Proving...
% 2.58/1.28 %
% 2.58/1.28
% 2.58/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.28
% 2.58/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/1.28
% 2.58/1.28
%------------------------------------------------------------------------------