%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO045-3 : 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 3.46s 1.72s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 31 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 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 : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( X1 = X2
| between(X0,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).
fof(f62,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f63,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f64,axiom,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).
fof(f65,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X1,X2)
| ( X0 = X1 )
| ~ between(X3,X0,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_159,plain,
between(u,v,w),
inference(cnf_transformation,[],[f62]) ).
tcf(c_160,plain,
between(v,w,x),
inference(cnf_transformation,[],[f63]) ).
tcf(c_161,plain,
v != w,
inference(cnf_transformation,[],[f64]) ).
tcf(c_162,negated_conjecture,
~ between(u,v,x),
inference(cnf_transformation,[],[f65]) ).
tcf(c_1662,plain,
between(w,v,u),
inference(superposition,[status(thm)],[c_159,c_151]) ).
tcf(c_1663,plain,
between(x,w,v),
inference(superposition,[status(thm)],[c_160,c_151]) ).
tcf(c_2041,plain,
( between(u,v,x)
| ~ between(x,v,u) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_2201,plain,
! [X0: $i] :
( between(X0,v,u)
| ( v = w )
| ~ between(X0,w,v) ),
inference(superposition,[status(thm)],[c_1662,c_158]) ).
tcf(c_2212,plain,
! [X0: $i] :
( between(X0,v,u)
| ~ between(X0,w,v) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2201,c_161]) ).
tcf(c_2465,plain,
between(x,v,u),
inference(superposition,[status(thm)],[c_1663,c_2212]) ).
tcf(c_2468,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2465,c_2041,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.81 % Computer : n002.cluster.edu
% 0.10/0.81 % Model : x86_64 x86_64
% 0.10/0.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.81 % Memory : 8046.5625MB
% 0.10/0.81 % OS : Linux 6.8.0-71-generic
% 0.10/0.81 % CPULimit : 300
% 0.10/0.81 % WCLimit : 300
% 0.10/0.81 % DateTime : Wed Sep 23 10:36:21 UTC 2026
% 0.10/0.81 % CPUTime :
% 0.10/0.81 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.85 Running first-order theorem proving
% 0.10/0.85 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
% 0.10/0.86
% 0.10/0.86 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.86
% 0.10/0.86 % Detected problem language: tptp
% 0.10/0.87 % Proving...
% 3.46/1.72 % SZS status Started for theBenchmark.p
% 3.46/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.72
% 3.46/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.46/1.72
% 3.46/1.72 % ------ iProver source info
% 3.46/1.72
% 3.46/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 3.46/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.46/1.72 % git: non_committed_changes: false
% 3.46/1.72
% 3.46/1.72 % ------ Parsing...% successful
% 3.46/1.72
% 3.46/1.72
% 3.46/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.46/1.72
% 3.46/1.72 % ------ 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 %
% 3.46/1.72
% 3.46/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.46/1.72
% 3.46/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.46/1.72 % ------ Proving...
% 3.46/1.72 % ------ Problem Properties
% 3.46/1.72
% 3.46/1.72 %
% 3.46/1.72 % clauses 48
% 3.46/1.72 % conjectures 1
% 3.46/1.72 % EPR 33
% 3.46/1.72 % Horn 38
% 3.46/1.72 % unary 16
% 3.46/1.72 % binary 13
% 3.46/1.72 % lits 120
% 3.46/1.72 % lits eq 23
% 3.46/1.72 % fd_pure 0
% 3.46/1.72 % fd_pseudo 0
% 3.46/1.72 % fd_cond 0
% 3.46/1.72 % fd_pseudo_cond 14
% 3.46/1.72 % AC symbols 0
% 3.46/1.72
% 3.46/1.72 % ------ Schedule dynamic 5 is on
% 3.46/1.72
% 3.46/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.46/1.72
% 3.46/1.72
% 3.46/1.72 % ------
% 3.46/1.72 % Current options:
% 3.46/1.72 % ------
% 3.46/1.72
% 3.46/1.72
% 3.46/1.72 %
% 3.46/1.72
% 3.46/1.72 % ------ Proving...
% 3.46/1.72 %
% 3.46/1.72
% 3.46/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.72
% 3.46/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.72
% 3.46/1.72
%------------------------------------------------------------------------------