%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO069-3 : 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 : 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 01:19:46 PM UTC 2026
% Result : Unsatisfiable 0.95s 6.31s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f100,axiom,
! [X2,X0,X1] :
( colinear(X2,X1,X0)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
fof(f101,axiom,
! [X2,X0,X1] :
( colinear(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).
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(f113,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f114,axiom,
colinear(w,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wvu_colinear) ).
fof(f115,axiom,
colinear(x,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xvu_colinear) ).
fof(f116,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X2,X1,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_254,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_256,plain,
u != v,
inference(cnf_transformation,[],[f113]) ).
tcf(c_257,plain,
colinear(w,v,u),
inference(cnf_transformation,[],[f114]) ).
tcf(c_258,plain,
colinear(x,v,u),
inference(cnf_transformation,[],[f115]) ).
tcf(c_259,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_3509,plain,
colinear(u,v,w),
inference(superposition,[status(thm)],[c_257,c_243]) ).
tcf(c_3510,plain,
colinear(u,v,x),
inference(superposition,[status(thm)],[c_258,c_243]) ).
tcf(c_3526,plain,
colinear(v,u,w),
inference(superposition,[status(thm)],[c_257,c_244]) ).
tcf(c_3527,plain,
colinear(v,u,x),
inference(superposition,[status(thm)],[c_258,c_244]) ).
tcf(c_4381,plain,
( colinear(x,w,u)
| ~ colinear(u,x,w) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_5548,plain,
! [X0: $i] :
( colinear(u,x,X0)
| ( u = v )
| ~ colinear(u,v,X0) ),
inference(superposition,[status(thm)],[c_3510,c_254]) ).
tcf(c_5550,plain,
! [X0: $i] :
( colinear(v,x,X0)
| ( u = v )
| ~ colinear(v,u,X0) ),
inference(superposition,[status(thm)],[c_3527,c_254]) ).
tcf(c_5579,plain,
! [X0: $i] :
( colinear(v,x,X0)
| ~ colinear(v,u,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5550,c_256]) ).
tcf(c_5585,plain,
! [X0: $i] :
( colinear(u,x,X0)
| ~ colinear(u,v,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5548,c_256]) ).
tcf(c_5667,plain,
colinear(v,x,w),
inference(superposition,[status(thm)],[c_3526,c_5579]) ).
tcf(c_5680,plain,
colinear(x,w,v),
inference(superposition,[status(thm)],[c_5667,c_244]) ).
tcf(c_7980,plain,
colinear(u,x,w),
inference(superposition,[status(thm)],[c_3509,c_5585]) ).
tcf(c_7984,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7980,c_5680,c_4381,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.60 % Computer : n019.cluster.edu
% 0.12/5.60 % Model : x86_64 x86_64
% 0.12/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.60 % Memory : 8046.5625MB
% 0.12/5.60 % OS : Linux 6.8.0-71-generic
% 0.12/5.60 % CPULimit : 300
% 0.12/5.60 % WCLimit : 300
% 0.12/5.60 % DateTime : Wed Sep 23 10:42:01 UTC 2026
% 0.12/5.60 % CPUTime :
% 0.12/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.64 Running first-order theorem proving
% 0.12/5.64 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
% 0.12/5.65
% 0.12/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.65
% 0.12/5.65 % Detected problem language: tptp
% 0.12/5.66 % Proving...
% 0.95/6.31 % SZS status Started for theBenchmark.p
% 0.95/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 0.95/6.31
% 0.95/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.95/6.31
% 0.95/6.31 % ------ iProver source info
% 0.95/6.31
% 0.95/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 0.95/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.95/6.31 % git: non_committed_changes: false
% 0.95/6.31
% 0.95/6.31 % ------ Parsing...% successful
% 0.95/6.31
% 0.95/6.31
% 0.95/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.95/6.31
% 0.95/6.31 % ------ 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 %
% 0.95/6.31
% 0.95/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.95/6.31
% 0.95/6.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.95/6.31 % ------ Proving...
% 0.95/6.31 % ------ Problem Properties
% 0.95/6.31
% 0.95/6.31 %
% 0.95/6.31 % clauses 94
% 0.95/6.31 % conjectures 1
% 0.95/6.31 % EPR 71
% 0.95/6.31 % Horn 73
% 0.95/6.31 % unary 25
% 0.95/6.31 % binary 27
% 0.95/6.31 % lits 258
% 0.95/6.31 % lits eq 39
% 0.95/6.31 % fd_pure 0
% 0.95/6.31 % fd_pseudo 0
% 0.95/6.31 % fd_cond 0
% 0.95/6.31 % fd_pseudo_cond 23
% 0.95/6.31 % AC symbols 0
% 0.95/6.31
% 0.95/6.31 % ------ Schedule dynamic 5 is on
% 0.95/6.31
% 0.95/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.95/6.31
% 0.95/6.31
% 0.95/6.31 % ------
% 0.95/6.31 % Current options:
% 0.95/6.31 % ------
% 0.95/6.31
% 0.95/6.31
% 0.95/6.31 %
% 0.95/6.31
% 0.95/6.31 % ------ Proving...
% 0.95/6.31 %
% 0.95/6.31
% 0.95/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 0.95/6.31
% 0.95/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.95/6.31
% 0.95/6.31
%------------------------------------------------------------------------------