%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO526+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:21:24 PM UTC 2026
% Result : Theorem 116.65s 20.49s
% Output : CNFRefutation 116.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 25 unt; 0 def)
% Number of atoms : 128 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 131 ( 62 ~; 57 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 104 !; 5 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f98,axiom,
! [X0,X1,X2] :
( X2 = s(X1,X0)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f118,axiom,
! [X0,X1,X2] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f120,axiom,
! [X0,X1,X2] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_4) ).
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f194,axiom,
! [X0,X1,X2,X3] :
( s_e(X0,X2,X3,X2)
| ~ s_e(X0,X1,X3,X1)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12b) ).
fof(f195,conjecture,
! [X0,X1,X2,X3,X4] :
( X2 = X4
| X1 != midpoint(X2,X4)
| s_e(X0,X2,X3,X4)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X0,X1,X3,X1)
| ~ s_r(X3,X1,X4)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12c) ).
fof(f196,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( X2 = X4
| X1 != midpoint(X2,X4)
| s_e(X0,X2,X3,X4)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X0,X1,X3,X1)
| ~ s_r(X3,X1,X4)
| ~ s_r(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f195]) ).
fof(f212,plain,
? [X0,X1,X2,X3,X4] :
( X2 != X4
& midpoint(X2,X4) = X1
& ~ s_e(X0,X2,X3,X4)
& s_e(X1,X2,X1,X4)
& s_e(X0,X1,X3,X1)
& s_r(X3,X1,X4)
& s_r(X0,X1,X2) ),
inference(ennf_transformation,[],[f196]) ).
fof(f213,plain,
( sK2 != sK4
& sK1 = midpoint(sK2,sK4)
& ~ s_e(sK0,sK2,sK3,sK4)
& s_e(sK1,sK2,sK1,sK4)
& s_e(sK0,sK1,sK3,sK1)
& s_r(sK3,sK1,sK4)
& s_r(sK0,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f212]) ).
fof(f215,plain,
sK1 = midpoint(sK2,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f216,plain,
~ s_e(sK0,sK2,sK3,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f217,plain,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f218,plain,
s_e(sK0,sK1,sK3,sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f219,plain,
s_r(sK3,sK1,sK4),
inference(cnf_transformation,[],[f213]) ).
fof(f220,plain,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f213]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X2,X3,X2)
| ~ s_e(X0,X1,X3,X1)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f260,plain,
! [X2,X0,X1] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f262,plain,
! [X2,X0,X1] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f268,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f313,plain,
! [X2,X0,X1] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_49,negated_conjecture,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
tcf(c_50,negated_conjecture,
s_r(sK3,sK1,sK4),
inference(cnf_transformation,[],[f219]) ).
tcf(c_51,negated_conjecture,
s_e(sK0,sK1,sK3,sK1),
inference(cnf_transformation,[],[f218]) ).
tcf(c_52,negated_conjecture,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f217]) ).
tcf(c_53,negated_conjecture,
~ s_e(sK0,sK2,sK3,sK4),
inference(cnf_transformation,[],[f216]) ).
tcf(c_54,negated_conjecture,
midpoint(sK2,sK4) = sK1,
inference(cnf_transformation,[],[f215]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X2,X3)
| ~ s_r(X2,X1,X3)
| ~ s_r(X0,X1,X3)
| ~ s_e(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f268]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X0) = X2 )
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_5784,plain,
s_m(sK2,sK1,sK4),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_6351,plain,
s(sK1,sK2) = sK4,
inference(superposition,[status(thm)],[c_5784,c_148]) ).
tcf(c_6388,plain,
! [X0: $i] :
( s_r(X0,sK1,sK4)
| ~ s_r(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_6351,c_95]) ).
tcf(c_6665,plain,
s_r(sK0,sK1,sK4),
inference(superposition,[status(thm)],[c_49,c_6388]) ).
tcf(c_6668,plain,
s_r(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_6665,c_97]) ).
tcf(c_145223,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,sK2,sK3,sK4)
| ~ s_e(sK0,sK2,X0,X1)
| ~ s_e(X0,X1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_148287,plain,
! [X0: $i] :
( s_e(sK0,sK2,sK3,sK4)
| ~ s_e(sK0,sK2,X0,sK4)
| ~ s_e(X0,sK4,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_145223]) ).
tcf(c_150613,plain,
s_r(sK2,sK1,sK0),
inference(resolution,[status(thm)],[c_97,c_49]) ).
tcf(c_151035,plain,
s_e(sK2,sK1,sK4,sK1),
inference(resolution,[status(thm)],[c_69,c_52]) ).
tcf(c_151770,plain,
s_e(sK3,sK1,sK0,sK1),
inference(resolution,[status(thm)],[c_76,c_51]) ).
tcf(c_161919,plain,
( s_e(sK0,sK2,sK3,sK4)
| ~ s_e(sK0,sK4,sK3,sK4)
| ~ s_e(sK0,sK2,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_148287]) ).
tcf(c_245547,plain,
! [X0: $i] :
( s_e(sK3,sK4,X0,sK4)
| ~ s_r(X0,sK1,sK4)
| ~ s_e(sK3,sK1,X0,sK1) ),
inference(resolution,[status(thm)],[c_84,c_50]) ).
tcf(c_245551,plain,
! [X0: $i] :
( s_e(sK2,sK0,X0,sK0)
| ~ s_r(X0,sK1,sK0)
| ~ s_e(sK2,sK1,X0,sK1) ),
inference(resolution,[status(thm)],[c_84,c_150613]) ).
tcf(c_253699,plain,
! [X0: $i] :
( s_e(X0,sK4,sK3,sK4)
| ~ s_r(X0,sK1,sK4)
| ~ s_e(sK3,sK1,X0,sK1) ),
inference(resolution,[status(thm)],[c_245547,c_76]) ).
tcf(c_254304,plain,
( s_e(sK2,sK0,sK4,sK0)
| ~ s_r(sK4,sK1,sK0) ),
inference(resolution,[status(thm)],[c_245551,c_151035]) ).
tcf(c_254975,plain,
s_e(sK2,sK0,sK4,sK0),
inference(global_subsumption_just,[status(thm)],[c_254304,c_6668,c_254304]) ).
tcf(c_254981,plain,
s_e(sK0,sK2,sK0,sK4),
inference(resolution,[status(thm)],[c_254975,c_69]) ).
tcf(c_267369,plain,
( s_e(sK0,sK4,sK3,sK4)
| ~ s_r(sK0,sK1,sK4) ),
inference(resolution,[status(thm)],[c_253699,c_151770]) ).
tcf(c_267370,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_267369,c_254981,c_161919,c_6665,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO526+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 12:21:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 116.65/20.49 % SZS status Started for theBenchmark.p
% 116.65/20.49 % SZS status Theorem for theBenchmark.p
% 116.65/20.49
% 116.65/20.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 116.65/20.49
% 116.65/20.49 % ------ iProver source info
% 116.65/20.49
% 116.65/20.49 % git: date: 2026-07-19 20:42:38 +0200
% 116.65/20.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 116.65/20.49 % git: non_committed_changes: false
% 116.65/20.49
% 116.65/20.49 % ------ Parsing...
% 116.65/20.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 116.65/20.49
% 116.65/20.49 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 116.65/20.49
% 116.65/20.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 116.65/20.49
% 116.65/20.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 116.65/20.49 % ------ Proving...
% 116.65/20.49 % ------ Problem Properties
% 116.65/20.49
% 116.65/20.49 %
% 116.65/20.49 % clauses 138
% 116.65/20.49 % conjectures 7
% 116.65/20.49 % EPR 107
% 116.65/20.49 % Horn 97
% 116.65/20.49 % unary 23
% 116.65/20.49 % binary 47
% 116.65/20.49 % lits 420
% 116.65/20.49 % lits eq 94
% 116.65/20.49 % fd_pure 0
% 116.65/20.49 % fd_pseudo 0
% 116.65/20.49 % fd_cond 0
% 116.65/20.49 % fd_pseudo_cond 51
% 116.65/20.49 % AC symbols 0
% 116.65/20.49
% 116.65/20.49 % ------ Schedule dynamic 5 is on
% 116.65/20.49
% 116.65/20.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 116.65/20.49
% 116.65/20.49
% 116.65/20.49 % ------
% 116.65/20.49 % Current options:
% 116.65/20.49 % ------
% 116.65/20.49
% 116.65/20.49
% 116.65/20.49 %
% 116.65/20.49
% 116.65/20.49 % ------ Proving...
% 116.65/20.49 % Proof_search_loop: time out after: 3464 full_loop iterations
% 116.65/20.49
% 116.65/20.49 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 116.65/20.49
% 116.65/20.49
% 116.65/20.49 % ------
% 116.65/20.49 % Current options:
% 116.65/20.49 % ------
% 116.65/20.49
% 116.65/20.49
% 116.65/20.49 %
% 116.65/20.49
% 116.65/20.49 % ------ Proving...
% 116.65/20.49 %
% 116.65/20.49
% 116.65/20.49 % SZS status Theorem for theBenchmark.p
% 116.65/20.49
% 116.65/20.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 116.65/20.49
% 116.65/20.49
%------------------------------------------------------------------------------