%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO044-3 : 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 : n011.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 87.51s 46.02s
% Output : CNFRefutation 87.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 61 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 19 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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; 4 con; 0-4 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
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(f31,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| X0 != extension(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| extension(X1,X2,X3,X4) != X0 ),
inference(reorient_equations,[],[f31]) ).
fof(f44,axiom,
! [X2,X0,X1] :
( X2 = extension(X0,X1,X1,X2)
| X0 = X1
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).
fof(f45,plain,
! [X2,X0,X1] :
( extension(X0,X1,X1,X2) = X2
| X0 = X1
| ~ between(X0,X1,X2) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f60,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f61,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f62,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f63,axiom,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).
fof(f64,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f72,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f32]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f72]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( extension(X0,X1,X1,X2) = X2 )
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3) )
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_157,plain,
between(u,v,w),
inference(cnf_transformation,[],[f61]) ).
tcf(c_158,plain,
between(v,w,x),
inference(cnf_transformation,[],[f62]) ).
tcf(c_159,plain,
v != w,
inference(cnf_transformation,[],[f63]) ).
tcf(c_160,negated_conjecture,
~ between(u,w,x),
inference(cnf_transformation,[],[f64]) ).
tcf(c_1990,plain,
( between(u,w,x)
| ~ between(x,w,u) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_203382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(extension(X0,X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_134,c_150]) ).
tcf(c_203606,plain,
! [X0: $i] :
( between(v,w,X0)
| ~ between(u,w,X0) ),
inference(superposition,[status(thm)],[c_157,c_156]) ).
tcf(c_203695,plain,
! [X0: $i,X1: $i] : between(v,w,extension(u,w,X0,X1)),
inference(superposition,[status(thm)],[c_134,c_203606]) ).
tcf(c_203838,plain,
( ( v = w )
| ( extension(v,w,w,x) = x ) ),
inference(superposition,[status(thm)],[c_158,c_143]) ).
tcf(c_203844,plain,
! [X0: $i,X1: $i] :
( ( v = w )
| ( extension(v,w,w,extension(u,w,X0,X1)) = extension(u,w,X0,X1) ) ),
inference(superposition,[status(thm)],[c_203695,c_143]) ).
tcf(c_203852,plain,
extension(v,w,w,x) = x,
inference(forward_subsumption_resolution,[status(thm)],[c_203838,c_159]) ).
tcf(c_203861,plain,
! [X0: $i,X1: $i] : extension(v,w,w,extension(u,w,X0,X1)) = extension(u,w,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_203844,c_159]) ).
tcf(c_204106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( extension(X0,X1,X2,extension(X3,X2,X4,X5)) = extension(X0,X1,X4,X5) ) ),
inference(superposition,[status(thm)],[c_110,c_144]) ).
tcf(c_355972,plain,
! [X0: $i,X1: $i] :
( ( v = w )
| ( extension(u,w,X0,X1) = extension(v,w,X0,X1) ) ),
inference(superposition,[status(thm)],[c_204106,c_203861]) ).
tcf(c_356260,plain,
! [X0: $i,X1: $i] : extension(u,w,X0,X1) = extension(v,w,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_355972,c_159]) ).
tcf(c_441192,plain,
! [X0: $i,X1: $i] : between(extension(v,w,X0,X1),w,u),
inference(superposition,[status(thm)],[c_356260,c_203382]) ).
tcf(c_442192,plain,
between(x,w,u),
inference(superposition,[status(thm)],[c_203852,c_441192]) ).
tcf(c_442213,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_442192,c_1990,c_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/20.43 % CPULimit : 300
% 0.08/20.43 % WCLimit : 300
% 0.08/20.43 % DateTime : Wed Sep 23 10:33:55 UTC 2026
% 0.08/20.43 % CPUTime :
% 0.08/20.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/20.47 Running first-order theorem proving
% 0.08/20.47 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
% 0.08/20.48
% 0.08/20.48 % ======== iProver multi-core TPTP/SMT =========
% 0.08/20.48
% 0.08/20.48 % Detected problem language: tptp
% 0.08/20.49 % Proving...
% 87.51/46.02 % SZS status Started for theBenchmark.p
% 87.51/46.02 % SZS status Unsatisfiable for theBenchmark.p
% 87.51/46.02
% 87.51/46.02 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 87.51/46.02
% 87.51/46.02 % ------ iProver source info
% 87.51/46.02
% 87.51/46.02 % git: date: 2026-07-19 20:42:38 +0200
% 87.51/46.02 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 87.51/46.02 % git: non_committed_changes: false
% 87.51/46.02
% 87.51/46.02 % ------ Parsing...% successful
% 87.51/46.02
% 87.51/46.02
% 87.51/46.02 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 87.51/46.02
% 87.51/46.02 % ------ 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 %
% 87.51/46.02
% 87.51/46.02 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 87.51/46.02
% 87.51/46.02 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 87.51/46.02 % ------ Proving...
% 87.51/46.02 % ------ Problem Properties
% 87.51/46.02
% 87.51/46.02 %
% 87.51/46.02 % clauses 47
% 87.51/46.02 % conjectures 1
% 87.51/46.02 % EPR 32
% 87.51/46.02 % Horn 38
% 87.51/46.02 % unary 16
% 87.51/46.02 % binary 13
% 87.51/46.02 % lits 116
% 87.51/46.02 % lits eq 22
% 87.51/46.02 % fd_pure 0
% 87.51/46.02 % fd_pseudo 0
% 87.51/46.02 % fd_cond 0
% 87.51/46.02 % fd_pseudo_cond 13
% 87.51/46.02 % AC symbols 0
% 87.51/46.02
% 87.51/46.02 % ------ Schedule dynamic 5 is on
% 87.51/46.02
% 87.51/46.02 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 87.51/46.02
% 87.51/46.02
% 87.51/46.02 % ------
% 87.51/46.02 % Current options:
% 87.51/46.02 % ------
% 87.51/46.02
% 87.51/46.02
% 87.51/46.02 %
% 87.51/46.02
% 87.51/46.02 % ------ Proving...
% 87.51/46.02 % Proof_search_loop: time out after: 3785 full_loop iterations
% 87.51/46.02
% 87.51/46.02 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 87.51/46.02
% 87.51/46.02
% 87.51/46.02 % ------
% 87.51/46.02 % Current options:
% 87.51/46.02 % ------
% 87.51/46.02
% 87.51/46.02
% 87.51/46.02 %
% 87.51/46.02
% 87.51/46.02 % ------ Proving...
% 87.51/46.02 %
% 87.51/46.02
% 87.51/46.02 % SZS status Unsatisfiable for theBenchmark.p
% 87.51/46.02
% 87.51/46.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.51/46.02
% 87.51/46.02
%------------------------------------------------------------------------------