%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO047-3 : 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 : n007.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 01:19:41 PM UTC 2026
% Result : Unsatisfiable 3.09s 1.29s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f63,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X2)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
fof(f64,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f65,axiom,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f66,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X1,X2)
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_162,plain,
between(u,v,w),
inference(cnf_transformation,[],[f64]) ).
tcf(c_163,plain,
between(u,w,x),
inference(cnf_transformation,[],[f65]) ).
tcf(c_164,negated_conjecture,
~ between(u,v,x),
inference(cnf_transformation,[],[f66]) ).
tcf(c_1740,plain,
between(w,v,u),
inference(superposition,[status(thm)],[c_162,c_152]) ).
tcf(c_1741,plain,
between(x,w,u),
inference(superposition,[status(thm)],[c_163,c_152]) ).
tcf(c_2028,plain,
! [X0: $i] :
( between(X0,v,u)
| ~ between(X0,w,u) ),
inference(superposition,[status(thm)],[c_1740,c_161]) ).
tcf(c_2129,plain,
( between(u,v,x)
| ~ between(x,v,u) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_3608,plain,
between(x,v,u),
inference(superposition,[status(thm)],[c_1741,c_2028]) ).
tcf(c_3610,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3608,c_2129,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 10:32:07 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 3.09/1.29 % SZS status Started for theBenchmark.p
% 3.09/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.09/1.29
% 3.09/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.09/1.29
% 3.09/1.29 % ------ iProver source info
% 3.09/1.29
% 3.09/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.09/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.09/1.29 % git: non_committed_changes: false
% 3.09/1.29
% 3.09/1.29 % ------ Parsing...% successful
% 3.09/1.29
% 3.09/1.29
% 3.09/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.09/1.29
% 3.09/1.29 % ------ 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 %
% 3.09/1.29
% 3.09/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.09/1.29
% 3.09/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.09/1.29 % ------ Proving...
% 3.09/1.29 % ------ Problem Properties
% 3.09/1.29
% 3.09/1.29 %
% 3.09/1.29 % clauses 49
% 3.09/1.29 % conjectures 1
% 3.09/1.29 % EPR 34
% 3.09/1.29 % Horn 38
% 3.09/1.29 % unary 15
% 3.09/1.29 % binary 13
% 3.09/1.29 % lits 126
% 3.09/1.29 % lits eq 23
% 3.09/1.29 % fd_pure 0
% 3.09/1.29 % fd_pseudo 0
% 3.09/1.29 % fd_cond 0
% 3.09/1.29 % fd_pseudo_cond 15
% 3.09/1.29 % AC symbols 0
% 3.09/1.29
% 3.09/1.29 % ------ Schedule dynamic 5 is on
% 3.09/1.29
% 3.09/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.09/1.29
% 3.09/1.29
% 3.09/1.29 % ------
% 3.09/1.29 % Current options:
% 3.09/1.29 % ------
% 3.09/1.29
% 3.09/1.29
% 3.09/1.29 %
% 3.09/1.29
% 3.09/1.29 % ------ Proving...
% 3.09/1.29 %
% 3.09/1.29
% 3.09/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.09/1.29
% 3.09/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.09/1.29
% 3.09/1.29
%------------------------------------------------------------------------------