%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO048-3 : 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 : n001.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 2.98s 6.28s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 15 unt; 2 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
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(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f72,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f73,axiom,
between(u1,v1,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
fof(f74,axiom,
between(u,x,u1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_between_u_and_u1) ).
fof(f76,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_conclusion2) ).
tcf(c_125,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_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_178,plain,
between(u,v,w),
inference(cnf_transformation,[],[f72]) ).
tcf(c_179,plain,
between(u1,v1,w),
inference(cnf_transformation,[],[f73]) ).
tcf(c_180,plain,
between(u,x,u1),
inference(cnf_transformation,[],[f74]) ).
tcf(c_182,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(cnf_transformation,[],[f76]) ).
tcf(c_1217,definition,
iPr_def_10 = inner_pasch(u,x,u1,v1,w),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1218,definition,
iPr_def_11 = inner_pasch(v1,iPr_def_10,u,v,w),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1219,negated_conjecture,
~ between(v,iPr_def_11,v1),
inference(demodulation,[status(thm)],[c_182,c_1217,c_1218]) ).
tcf(c_1896,plain,
between(w,v,u),
inference(superposition,[status(thm)],[c_178,c_161]) ).
tcf(c_1897,plain,
between(w,v1,u1),
inference(superposition,[status(thm)],[c_179,c_161]) ).
tcf(c_3507,plain,
( between(v1,iPr_def_10,u)
| ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(superposition,[status(thm)],[c_1217,c_125]) ).
tcf(c_3508,plain,
( between(v,iPr_def_11,v1)
| ~ between(v1,iPr_def_10,u)
| ~ between(w,v,u) ),
inference(superposition,[status(thm)],[c_1218,c_125]) ).
tcf(c_3520,plain,
~ between(v1,iPr_def_10,u),
inference(forward_subsumption_resolution,[status(thm)],[c_3508,c_1219,c_1896]) ).
tcf(c_3521,plain,
( ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3507,c_3520]) ).
tcf(c_3522,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3521,c_1897,c_180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO048-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n001.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 10:40:25 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.40 Running first-order theorem proving
% 0.14/5.40 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
% 0.14/5.41
% 0.14/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.41
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 2.98/6.28 % SZS status Started for theBenchmark.p
% 2.98/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.98/6.28
% 2.98/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.98/6.28
% 2.98/6.28 % ------ iProver source info
% 2.98/6.28
% 2.98/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.98/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.98/6.28 % git: non_committed_changes: false
% 2.98/6.28
% 2.98/6.28 % ------ Parsing...% successful
% 2.98/6.28
% 2.98/6.28
% 2.98/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.98/6.28
% 2.98/6.28 % ------ 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 %
% 2.98/6.28
% 2.98/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.98/6.28
% 2.98/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.98/6.28 % ------ Proving...
% 2.98/6.28 % ------ Problem Properties
% 2.98/6.28
% 2.98/6.28 %
% 2.98/6.28 % clauses 59
% 2.98/6.28 % conjectures 2
% 2.98/6.28 % EPR 40
% 2.98/6.28 % Horn 48
% 2.98/6.28 % unary 24
% 2.98/6.28 % binary 13
% 2.98/6.28 % lits 138
% 2.98/6.28 % lits eq 29
% 2.98/6.28 % fd_pure 0
% 2.98/6.28 % fd_pseudo 0
% 2.98/6.28 % fd_cond 0
% 2.98/6.28 % fd_pseudo_cond 15
% 2.98/6.28 % AC symbols 0
% 2.98/6.28
% 2.98/6.28 % ------ Schedule dynamic 5 is on
% 2.98/6.28
% 2.98/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.98/6.28
% 2.98/6.28
% 2.98/6.28 % ------
% 2.98/6.28 % Current options:
% 2.98/6.28 % ------
% 2.98/6.28
% 2.98/6.28
% 2.98/6.28 %
% 2.98/6.28
% 2.98/6.28 % ------ Proving...
% 2.98/6.28 %
% 2.98/6.28
% 2.98/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.98/6.28
% 2.98/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.98/6.28
% 2.98/6.28
%------------------------------------------------------------------------------