%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:19:40 PM UTC 2026
% Result : Unsatisfiable 10.78s 2.73s
% Output : CNFRefutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 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; 4 con; 0-5 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f59,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f60,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f61,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_153,plain,
between(u,v,x),
inference(cnf_transformation,[],[f59]) ).
tcf(c_154,plain,
between(v,w,x),
inference(cnf_transformation,[],[f60]) ).
tcf(c_155,negated_conjecture,
~ between(u,v,w),
inference(cnf_transformation,[],[f61]) ).
tcf(c_1021,negated_conjecture,
~ between(u,v,w),
inference(demodulation,[status(thm)],[c_155]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inner_pasch(X0,X1,X2,X3,X1) = X1 )
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_110,c_109]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X0,inner_pasch(X0,X1,X2,X4,X3),X4)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_111,c_147]) ).
tcf(c_25591,plain,
! [X0: $i] :
( ( inner_pasch(u,v,x,X0,v) = v )
| ~ between(v,X0,x) ),
inference(superposition,[status(thm)],[c_153,c_2018]) ).
tcf(c_25876,plain,
inner_pasch(u,v,x,w,v) = v,
inference(superposition,[status(thm)],[c_154,c_25591]) ).
tcf(c_26055,plain,
( between(u,v,w)
| ~ between(v,w,x)
| ~ between(u,v,x) ),
inference(superposition,[status(thm)],[c_25876,c_2058]) ).
tcf(c_26062,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26055,c_1021,c_154,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 10:34:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 10.78/2.73 % SZS status Started for theBenchmark.p
% 10.78/2.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.78/2.73
% 10.78/2.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.78/2.73
% 10.78/2.73 % ------ iProver source info
% 10.78/2.73
% 10.78/2.73 % git: date: 2026-07-19 20:42:38 +0200
% 10.78/2.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.78/2.73 % git: non_committed_changes: false
% 10.78/2.73
% 10.78/2.73 % ------ Parsing...% successful
% 10.78/2.73
% 10.78/2.73
% 10.78/2.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.78/2.73
% 10.78/2.73 % ------ 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 %
% 10.78/2.73
% 10.78/2.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.78/2.73
% 10.78/2.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.78/2.73 % ------ Proving...
% 10.78/2.73 % ------ Problem Properties
% 10.78/2.73
% 10.78/2.73 %
% 10.78/2.73 % clauses 45
% 10.78/2.73 % conjectures 1
% 10.78/2.73 % EPR 30
% 10.78/2.73 % Horn 36
% 10.78/2.73 % unary 15
% 10.78/2.73 % binary 13
% 10.78/2.73 % lits 112
% 10.78/2.73 % lits eq 21
% 10.78/2.73 % fd_pure 0
% 10.78/2.73 % fd_pseudo 0
% 10.78/2.73 % fd_cond 0
% 10.78/2.73 % fd_pseudo_cond 13
% 10.78/2.73 % AC symbols 0
% 10.78/2.73
% 10.78/2.73 % ------ Schedule dynamic 5 is on
% 10.78/2.73
% 10.78/2.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.78/2.73
% 10.78/2.73
% 10.78/2.73 % ------
% 10.78/2.73 % Current options:
% 10.78/2.73 % ------
% 10.78/2.73
% 10.78/2.73
% 10.78/2.73 %
% 10.78/2.73
% 10.78/2.73 % ------ Proving...
% 10.78/2.73 %
% 10.78/2.73
% 10.78/2.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.78/2.73
% 10.78/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.78/2.73
% 10.78/2.73
%------------------------------------------------------------------------------