%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO022-3 : 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 : n004.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 01:19:35 PM UTC 2026
% Result : Unsatisfiable 2.18s 1.26s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( equidistant(X1,X0,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
fof(f25,axiom,
! [X2,X3,X0,X1] :
( equidistant(X3,X2,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).
fof(f27,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f28,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f29,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X1,X0,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equidistant(X3,X2,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_104,plain,
equidistant(u,v,w,x),
inference(cnf_transformation,[],[f27]) ).
tcf(c_105,plain,
equidistant(w,x,y,z),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,negated_conjecture,
~ equidistant(u,v,y,z),
inference(cnf_transformation,[],[f29]) ).
tcf(c_766,plain,
! [X0: $i,X1: $i] :
( equidistant(y,z,X0,X1)
| ~ equidistant(w,x,X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_79]) ).
tcf(c_828,plain,
equidistant(v,u,w,x),
inference(superposition,[status(thm)],[c_104,c_98]) ).
tcf(c_838,plain,
equidistant(w,x,v,u),
inference(superposition,[status(thm)],[c_828,c_97]) ).
tcf(c_910,plain,
( equidistant(u,v,y,z)
| ~ equidistant(y,z,v,u) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_1108,plain,
equidistant(y,z,v,u),
inference(superposition,[status(thm)],[c_838,c_766]) ).
tcf(c_1111,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1108,c_910,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO022-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Sep 23 10:26:20 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.18/1.26 % SZS status Started for theBenchmark.p
% 2.18/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.18/1.26
% 2.18/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.18/1.26
% 2.18/1.26 % ------ iProver source info
% 2.18/1.26
% 2.18/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.18/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.18/1.26 % git: non_committed_changes: false
% 2.18/1.26
% 2.18/1.26 % ------ Parsing...% successful
% 2.18/1.26
% 2.18/1.26
% 2.18/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.18/1.26
% 2.18/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.18/1.26
% 2.18/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.18/1.26
% 2.18/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.18/1.26 % ------ Proving...
% 2.18/1.26 % ------ Problem Properties
% 2.18/1.26
% 2.18/1.26 %
% 2.18/1.26 % clauses 29
% 2.18/1.26 % conjectures 1
% 2.18/1.26 % EPR 20
% 2.18/1.26 % Horn 24
% 2.18/1.26 % unary 10
% 2.18/1.26 % binary 9
% 2.18/1.26 % lits 74
% 2.18/1.26 % lits eq 7
% 2.18/1.26 % fd_pure 0
% 2.18/1.26 % fd_pseudo 0
% 2.18/1.26 % fd_cond 0
% 2.18/1.26 % fd_pseudo_cond 7
% 2.18/1.26 % AC symbols 0
% 2.18/1.26
% 2.18/1.26 % ------ Schedule dynamic 5 is on
% 2.18/1.26
% 2.18/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.18/1.26
% 2.18/1.26
% 2.18/1.26 % ------
% 2.18/1.26 % Current options:
% 2.18/1.26 % ------
% 2.18/1.26
% 2.18/1.26
% 2.18/1.26 %
% 2.18/1.26
% 2.18/1.26 % ------ Proving...
% 2.18/1.26 %
% 2.18/1.26
% 2.18/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.18/1.26
% 2.18/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.18/1.26
% 2.18/1.26
%------------------------------------------------------------------------------