%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO041-2 : 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 : n009.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 01:19:39 PM UTC 2026
% Result : Unsatisfiable 4.24s 1.27s
% Output : CNFRefutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 62 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
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(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(u,w,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f21,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_w) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_77,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_78,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_88,plain,
between(u,v,w),
inference(cnf_transformation,[],[f19]) ).
tcf(c_89,plain,
between(u,w,v),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,negated_conjecture,
v != w,
inference(cnf_transformation,[],[f21]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_74,c_72]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_652,c_73]) ).
tcf(c_757,plain,
( ( v = w )
| ~ between(v,w,v) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_789,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_77,c_76]) ).
tcf(c_800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inner_pasch(X0,X1,X2,X0,X3) = X0 )
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_78,c_76]) ).
tcf(c_1942,plain,
! [X0: $i] :
( ( inner_pasch(u,v,w,X0,v) = v )
| ~ between(v,X0,w) ),
inference(superposition,[status(thm)],[c_88,c_789]) ).
tcf(c_1943,plain,
! [X0: $i] :
( ( inner_pasch(u,w,v,X0,w) = w )
| ~ between(w,X0,v) ),
inference(superposition,[status(thm)],[c_89,c_789]) ).
tcf(c_2007,plain,
inner_pasch(u,v,w,w,v) = v,
inference(superposition,[status(thm)],[c_666,c_1942]) ).
tcf(c_2034,plain,
inner_pasch(u,w,v,v,w) = w,
inference(superposition,[status(thm)],[c_666,c_1943]) ).
tcf(c_2139,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w) ),
inference(superposition,[status(thm)],[c_2007,c_78]) ).
tcf(c_2141,plain,
between(w,v,u),
inference(forward_subsumption_resolution,[status(thm)],[c_2139,c_666,c_88]) ).
tcf(c_2142,plain,
! [X0: $i] :
( ( inner_pasch(w,v,u,w,X0) = w )
| ~ between(X0,w,u) ),
inference(superposition,[status(thm)],[c_2141,c_800]) ).
tcf(c_2150,plain,
( between(v,w,u)
| ~ between(w,v,v)
| ~ between(u,w,v) ),
inference(superposition,[status(thm)],[c_2034,c_78]) ).
tcf(c_2152,plain,
between(v,w,u),
inference(forward_subsumption_resolution,[status(thm)],[c_2150,c_666,c_89]) ).
tcf(c_2651,plain,
inner_pasch(w,v,u,w,v) = w,
inference(superposition,[status(thm)],[c_2152,c_2142]) ).
tcf(c_2655,plain,
( between(v,w,v)
| ~ between(w,v,u)
| ~ between(v,w,u) ),
inference(superposition,[status(thm)],[c_2651,c_77]) ).
tcf(c_2656,plain,
between(v,w,v),
inference(forward_subsumption_resolution,[status(thm)],[c_2655,c_2141,c_2152]) ).
tcf(c_2657,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2656,c_757,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-2 : 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 : n009.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
% 0.09/0.35 % DateTime : Wed Sep 23 10:31:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.24/1.27 % SZS status Started for theBenchmark.p
% 4.24/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.27
% 4.24/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.27
% 4.24/1.27 % ------ iProver source info
% 4.24/1.27
% 4.24/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.27 % git: non_committed_changes: false
% 4.24/1.27
% 4.24/1.27 % ------ Parsing...% successful
% 4.24/1.27
% 4.24/1.27
% 4.24/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.24/1.27
% 4.24/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.24/1.27
% 4.24/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.24/1.27
% 4.24/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.24/1.27 % ------ Proving...
% 4.24/1.27 % ------ Problem Properties
% 4.24/1.27
% 4.24/1.27 %
% 4.24/1.27 % clauses 21
% 4.24/1.27 % conjectures 1
% 4.24/1.27 % EPR 12
% 4.24/1.27 % Horn 16
% 4.24/1.27 % unary 9
% 4.24/1.27 % binary 2
% 4.24/1.27 % lits 59
% 4.24/1.27 % lits eq 8
% 4.24/1.27 % fd_pure 0
% 4.24/1.27 % fd_pseudo 0
% 4.24/1.27 % fd_cond 0
% 4.24/1.27 % fd_pseudo_cond 7
% 4.24/1.27 % AC symbols 0
% 4.24/1.27
% 4.24/1.27 % ------ Schedule dynamic 5 is on
% 4.24/1.27
% 4.24/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.27
% 4.24/1.27
% 4.24/1.27 % ------
% 4.24/1.27 % Current options:
% 4.24/1.27 % ------
% 4.24/1.27
% 4.24/1.27
% 4.24/1.27 %
% 4.24/1.27
% 4.24/1.27 % ------ Proving...
% 4.24/1.27 %
% 4.24/1.27
% 4.24/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.27
% 4.24/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.27
% 4.24/1.27
%------------------------------------------------------------------------------