%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 01:19:58 PM UTC 2026
% Result : Unsatisfiable 3.17s 6.21s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 74 ( 24 unt; 0 def)
% Number of atoms : 141 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 136 ( 69 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f32,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).
fof(f40,axiom,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
fof(f41,axiom,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
fof(f85,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',finish_point_defn_13) ).
fof(f90,axiom,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_17) ).
fof(f91,axiom,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_18) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
fof(f93,axiom,
! [X0,X1] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_20) ).
fof(f94,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
fof(f124,negated_conjecture,
( ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27)
| incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_133) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_137) ).
fof(f129,negated_conjecture,
! [X0] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,X0,sk26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_138) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( ~ closed(X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_179,plain,
! [X0: $i] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_180,plain,
! [X0: $i] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_184,plain,
! [X0: $i] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X2,X0)
| ( X0 = X2 )
| ~ start_point(X2,X1)
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X0,X2)
| ( X0 = X2 )
| ~ finish_point(X2,X1)
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_218,plain,
! [X0: $i] : open(ax2_sk3(X0)),
inference(cnf_transformation,[],[f92]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_226,plain,
! [X0: $i] : start_point(ax2_sk6(X0),X0),
inference(cnf_transformation,[],[f102]) ).
tcf(c_236,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_239,negated_conjecture,
! [X0: $i] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_240,negated_conjecture,
! [X0: $i] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,X0,sk26) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_316,plain,
! [X0: $i] :
( ~ ordered_by(sk25,sk26,X0)
| ~ incident_o(sk26,sk25) ),
inference(prop_impl_just,[status(thm)],[c_239]) ).
tcf(c_317,plain,
! [X0: $i] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,X0) ),
inference(renaming,[status(thm)],[c_316]) ).
tcf(c_318,plain,
! [X0: $i] :
( ~ ordered_by(sk25,X0,sk26)
| ~ incident_o(sk26,sk25) ),
inference(prop_impl_just,[status(thm)],[c_240]) ).
tcf(c_319,plain,
! [X0: $i] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,X0,sk26) ),
inference(renaming,[status(thm)],[c_318]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_216]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_217]) ).
tcf(c_658,plain,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk27,sk26) ),
inference(backward_subsumption_resolution,[status(thm)],[c_236,c_326]) ).
tcf(c_660,plain,
! [X0: $i] : ~ ordered_by(sk25,sk26,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_317,c_326]) ).
tcf(c_670,plain,
incident_o(sk26,sk25),
inference(forward_subsumption_resolution,[status(thm)],[c_658,c_328]) ).
tcf(c_674,plain,
! [X0: $i] : ~ ordered_by(sk25,X0,sk26),
inference(backward_subsumption_resolution,[status(thm)],[c_319,c_670]) ).
tcf(c_5545,plain,
! [X0: $i] : ~ ordered_by(sk25,X0,sk26),
inference(demodulation,[status(thm)],[c_674]) ).
tcf(c_5546,plain,
incident_o(sk26,sk25),
inference(demodulation,[status(thm)],[c_670]) ).
tcf(c_7423,plain,
! [X0: $i] :
( closed(X0)
| incident_c(ax0_sk6(X0),X0) ),
inference(superposition,[status(thm)],[c_179,c_160]) ).
tcf(c_7431,plain,
! [X0: $i] : incident_c(ax0_sk8(X0),X0),
inference(superposition,[status(thm)],[c_184,c_168]) ).
tcf(c_7449,plain,
! [X0: $i] :
( ~ closed(X0)
| ~ open(X0) ),
inference(superposition,[status(thm)],[c_180,c_178]) ).
tcf(c_7462,plain,
! [X0: $i] : ~ closed(ax2_sk3(X0)),
inference(superposition,[status(thm)],[c_218,c_7449]) ).
tcf(c_7481,plain,
! [X0: $i] :
( closed(X0)
| ~ inner_point(ax0_sk6(X0),X0) ),
inference(superposition,[status(thm)],[c_179,c_169]) ).
tcf(c_7525,plain,
! [X0: $i] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
inference(superposition,[status(thm)],[c_7431,c_220]) ).
tcf(c_7526,plain,
! [X0: $i] :
( closed(ax2_sk3(X0))
| incident_o(ax0_sk6(ax2_sk3(X0)),X0) ),
inference(superposition,[status(thm)],[c_7423,c_220]) ).
tcf(c_7528,plain,
! [X0: $i] : incident_o(ax0_sk6(ax2_sk3(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_7526,c_7462]) ).
tcf(c_7622,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,ax2_sk3(X1))
| end_point(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
inference(superposition,[status(thm)],[c_219,c_170]) ).
tcf(c_8100,plain,
! [X0: $i] :
( closed(ax2_sk3(X0))
| end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0))
| ~ incident_o(ax0_sk6(ax2_sk3(X0)),X0) ),
inference(superposition,[status(thm)],[c_7622,c_7481]) ).
tcf(c_8103,plain,
! [X0: $i] : end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_8100,c_7462,c_7528]) ).
tcf(c_8111,plain,
! [X0: $i] : ~ inner_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(superposition,[status(thm)],[c_8103,c_169]) ).
tcf(c_9719,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ start_point(sk26,sk25)
| ~ incident_o(X0,sk25) ),
inference(superposition,[status(thm)],[c_207,c_660]) ).
tcf(c_9720,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ incident_o(sk26,sk25)
| ~ start_point(X0,sk25) ),
inference(superposition,[status(thm)],[c_207,c_5545]) ).
tcf(c_9726,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ start_point(X0,sk25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9720,c_5546]) ).
tcf(c_9806,plain,
ax2_sk6(sk25) = sk26,
inference(superposition,[status(thm)],[c_226,c_9726]) ).
tcf(c_9808,plain,
start_point(sk26,sk25),
inference(superposition,[status(thm)],[c_9806,c_226]) ).
tcf(c_9938,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ finish_point(sk26,sk25)
| ~ incident_o(X0,sk25) ),
inference(superposition,[status(thm)],[c_212,c_5545]) ).
tcf(c_10319,plain,
! [X0: $i] :
( ( X0 = sk26 )
| ~ incident_o(X0,sk25) ),
inference(global_subsumption_just,[status(thm)],[c_9938,c_9719,c_9808]) ).
tcf(c_10332,plain,
ax0_sk8(ax2_sk3(sk25)) = sk26,
inference(superposition,[status(thm)],[c_7525,c_10319]) ).
tcf(c_10333,plain,
ax0_sk6(ax2_sk3(sk25)) = sk26,
inference(superposition,[status(thm)],[c_7528,c_10319]) ).
tcf(c_10527,plain,
inner_point(sk26,ax2_sk3(sk25)),
inference(superposition,[status(thm)],[c_10332,c_184]) ).
tcf(c_10680,plain,
~ inner_point(sk26,ax2_sk3(sk25)),
inference(superposition,[status(thm)],[c_10333,c_8111]) ).
tcf(c_10684,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10680,c_10527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n010.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 11:01:50 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 3.17/6.21 % SZS status Started for theBenchmark.p
% 3.17/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/6.21
% 3.17/6.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.17/6.21
% 3.17/6.21 % ------ iProver source info
% 3.17/6.21
% 3.17/6.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.17/6.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.17/6.21 % git: non_committed_changes: false
% 3.17/6.21
% 3.17/6.21 % ------ Parsing...% successful
% 3.17/6.21
% 3.17/6.21
% 3.17/6.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.17/6.21
% 3.17/6.21 % ------ Preprocessing... sup_sim: 0 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 %
% 3.17/6.21
% 3.17/6.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.17/6.21
% 3.17/6.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.17/6.21 % ------ Proving...
% 3.17/6.21 % ------ Problem Properties
% 3.17/6.21
% 3.17/6.21 %
% 3.17/6.21 % clauses 88
% 3.17/6.21 % conjectures 0
% 3.17/6.21 % EPR 32
% 3.17/6.21 % Horn 57
% 3.17/6.21 % unary 7
% 3.17/6.21 % binary 33
% 3.17/6.21 % lits 256
% 3.17/6.21 % lits eq 24
% 3.17/6.21 % fd_pure 0
% 3.17/6.21 % fd_pseudo 0
% 3.17/6.21 % fd_cond 0
% 3.17/6.21 % fd_pseudo_cond 17
% 3.17/6.21 % AC symbols 0
% 3.17/6.21
% 3.17/6.21 % ------ Schedule dynamic 5 is on
% 3.17/6.21
% 3.17/6.21 % ------ no conjectures: strip conj schedule
% 3.17/6.21
% 3.17/6.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.17/6.21
% 3.17/6.21
% 3.17/6.21 % ------
% 3.17/6.21 % Current options:
% 3.17/6.21 % ------
% 3.17/6.21
% 3.17/6.21
% 3.17/6.21 %
% 3.17/6.21
% 3.17/6.21 % ------ Proving...
% 3.17/6.21 %
% 3.17/6.21
% 3.17/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/6.21
% 3.17/6.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.17/6.21
% 3.17/6.21
%------------------------------------------------------------------------------