%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:21:10 PM UTC 2026
% Result : Theorem 1.01s 1.75s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 138 ( 7 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 178 ( 83 ~; 77 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-7 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 121 ( 0 sgn 114 !; 7 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f114,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(X3,X0,X3,X6)
| s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22a) ).
fof(f115,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22b) ).
fof(f116,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X5,X1,X6)
| ~ s_m(X2,X6,X4)
| ~ s_m(X0,X5,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22) ).
fof(f117,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X5,X1,X6)
| ~ s_m(X2,X6,X4)
| ~ s_m(X0,X5,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) )
& ( s_m(X6,X5,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_m(X0,X1,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X6,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X0,X3,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X2,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_23) ).
fof(f128,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_t(X5,X1,X6)
& s_m(X2,X6,X4)
& s_m(X0,X5,X3)
& s_e(X1,X2,X1,X4)
& s_e(X1,X0,X1,X3)
& s_t(X3,X1,X4)
& s_t(X0,X1,X2) ),
inference(ennf_transformation,[],[f117]) ).
fof(f129,plain,
( ~ s_t(sK5,sK1,sK6)
& s_m(sK2,sK6,sK4)
& s_m(sK0,sK5,sK3)
& s_e(sK1,sK2,sK1,sK4)
& s_e(sK1,sK0,sK1,sK3)
& s_t(sK3,sK1,sK4)
& s_t(sK0,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f128]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ le(X3,X0,X3,X6)
| s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f114]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f115]) ).
fof(f259,plain,
~ s_t(sK5,sK1,sK6),
inference(cnf_transformation,[],[f129]) ).
fof(f260,plain,
s_m(sK2,sK6,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f261,plain,
s_m(sK0,sK5,sK3),
inference(cnf_transformation,[],[f129]) ).
fof(f262,plain,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f263,plain,
s_e(sK1,sK0,sK1,sK3),
inference(cnf_transformation,[],[f129]) ).
fof(f264,plain,
s_t(sK3,sK1,sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f265,plain,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,X5)
| ~ le(X3,X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_178,negated_conjecture,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f265]) ).
tcf(c_179,negated_conjecture,
s_t(sK3,sK1,sK4),
inference(cnf_transformation,[],[f264]) ).
tcf(c_180,negated_conjecture,
s_e(sK1,sK0,sK1,sK3),
inference(cnf_transformation,[],[f263]) ).
tcf(c_181,negated_conjecture,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f262]) ).
tcf(c_182,negated_conjecture,
s_m(sK0,sK5,sK3),
inference(cnf_transformation,[],[f261]) ).
tcf(c_183,negated_conjecture,
s_m(sK2,sK6,sK4),
inference(cnf_transformation,[],[f260]) ).
tcf(c_184,negated_conjecture,
~ s_t(sK5,sK1,sK6),
inference(cnf_transformation,[],[f259]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_kf(X1,X5,X2,X0,X4,X6,X3)
| ~ s_m(X3,X6,X4)
| ~ s_m(X1,X5,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(global_subsumption_just,[status(thm)],[c_176,c_177]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( s_t(X2,X6,X10)
| ~ s_m(X13,X11,X9)
| ~ s_m(X1,X3,X5)
| ~ s_t(X5,X7,X9)
| ~ s_t(X1,X7,X13)
| ~ s_e(X7,X13,X7,X9)
| ~ s_e(X7,X1,X7,X5)
| ( X12 != X13 )
| ( X10 != X11 )
| ( X8 != X9 )
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_282,c_229]) ).
tcf(c_2134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| ~ s_m(X3,X6,X4)
| ~ s_m(X1,X5,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(unflattening,[status(thm)],[c_2133]) ).
tcf(c_4187,negated_conjecture,
~ s_t(sK5,sK1,sK6),
inference(demodulation,[status(thm)],[c_184]) ).
tcf(c_4188,negated_conjecture,
s_m(sK2,sK6,sK4),
inference(demodulation,[status(thm)],[c_183]) ).
tcf(c_4189,negated_conjecture,
s_m(sK0,sK5,sK3),
inference(demodulation,[status(thm)],[c_182]) ).
tcf(c_4190,negated_conjecture,
s_e(sK1,sK2,sK1,sK4),
inference(demodulation,[status(thm)],[c_181]) ).
tcf(c_4191,negated_conjecture,
s_e(sK1,sK0,sK1,sK3),
inference(demodulation,[status(thm)],[c_180]) ).
tcf(c_4192,negated_conjecture,
s_t(sK3,sK1,sK4),
inference(demodulation,[status(thm)],[c_179]) ).
tcf(c_4193,negated_conjecture,
s_t(sK0,sK1,sK2),
inference(demodulation,[status(thm)],[c_178]) ).
tcf(c_6099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,sK1,X3)
| ~ s_m(sK2,X3,sK4)
| ~ s_t(X1,sK1,sK4)
| ~ s_t(X0,sK1,sK2)
| ~ s_m(X0,X2,X1)
| ~ s_e(sK1,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_4190,c_2134]) ).
tcf(c_6280,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK1,X1)
| ~ s_t(sK3,sK1,sK4)
| ~ s_t(sK0,sK1,sK2)
| ~ s_m(sK2,X1,sK4)
| ~ s_m(sK0,X0,sK3) ),
inference(superposition,[status(thm)],[c_4191,c_6099]) ).
tcf(c_6287,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK1,X1)
| ~ s_m(sK2,X1,sK4)
| ~ s_m(sK0,X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6280,c_4192,c_4193]) ).
tcf(c_6407,plain,
! [X0: $i] :
( s_t(sK5,sK1,X0)
| ~ s_m(sK2,X0,sK4) ),
inference(superposition,[status(thm)],[c_4189,c_6287]) ).
tcf(c_6415,plain,
s_t(sK5,sK1,sK6),
inference(superposition,[status(thm)],[c_4188,c_6407]) ).
tcf(c_6416,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6415,c_4187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.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 12:14:54 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.01/1.75 % SZS status Started for theBenchmark.p
% 1.01/1.75 % SZS status Theorem for theBenchmark.p
% 1.01/1.75
% 1.01/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.01/1.75
% 1.01/1.75 % ------ iProver source info
% 1.01/1.75
% 1.01/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.01/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.01/1.75 % git: non_committed_changes: false
% 1.01/1.75
% 1.01/1.75 % ------ Parsing...
% 1.01/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.01/1.75
% 1.01/1.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.01/1.75
% 1.01/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.01/1.75
% 1.01/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.01/1.75 % ------ Proving...
% 1.01/1.75 % ------ Problem Properties
% 1.01/1.75
% 1.01/1.75 %
% 1.01/1.75 % clauses 142
% 1.01/1.75 % conjectures 7
% 1.01/1.75 % EPR 108
% 1.01/1.75 % Horn 113
% 1.01/1.75 % unary 32
% 1.01/1.75 % binary 47
% 1.01/1.75 % lits 394
% 1.01/1.75 % lits eq 68
% 1.01/1.75 % fd_pure 0
% 1.01/1.75 % fd_pseudo 0
% 1.01/1.75 % fd_cond 0
% 1.01/1.75 % fd_pseudo_cond 38
% 1.01/1.75 % AC symbols 0
% 1.01/1.75
% 1.01/1.75 % ------ Schedule dynamic 5 is on
% 1.01/1.75
% 1.01/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.01/1.75
% 1.01/1.75
% 1.01/1.75 % ------
% 1.01/1.75 % Current options:
% 1.01/1.75 % ------
% 1.01/1.75
% 1.01/1.75
% 1.01/1.75 %
% 1.01/1.75
% 1.01/1.75 % ------ Proving...
% 1.01/1.75 %
% 1.01/1.75
% 1.01/1.75 % SZS status Theorem for theBenchmark.p
% 1.01/1.75
% 1.01/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.01/1.75
% 1.01/1.75
%------------------------------------------------------------------------------