%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:39:45 PM UTC 2026
% Result : Unsatisfiable 1.80s 1.27s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 1 unt; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 131 ( 66 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ g(X1,z(X0,X1))
| f(X0,z(X0,X1))
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( g(X1,z(X0,X1))
| ~ f(X0,z(X0,X1))
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X0,X1)
| g(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( f(X0,X1)
| f(z(X0,X1),z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( g(z(X0,X1),z(X0,X1))
| g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ g(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,z(X1,X0))
| ~ f(X1,X0)
| ~ g(X0,z(X1,X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( g(X1,z(X0,X1))
| ~ f(X0,X1)
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( g(z(X0,X1),z(X0,X1))
| ~ f(X0,X1)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1)
| f(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( g(X0,X1)
| g(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ g(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
( f(iProver_bot,iProver_bot)
| f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_67,plain,
( g(iProver_bot,z(iProver_bot,iProver_bot))
| ~ f(iProver_bot,iProver_bot)
| ~ f(iProver_bot,z(iProver_bot,iProver_bot)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ~ g(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ g(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(renaming,[status(thm)],[c_70]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( g(X0,X1)
| f(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_61,c_60]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ g(X0,X1)
| ~ f(X0,X1)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_71]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ g(X0,X1)
| ~ f(X0,X1)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ g(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i] :
( g(X1,z(X0,X1))
| ~ f(X0,X1)
| ~ f(X0,z(X0,X1)) ),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,z(X1,X0))
| ~ f(X1,X0)
| ~ g(X0,z(X1,X0)) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_145,plain,
( g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| ~ f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))
| ~ f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,X1),z(X0,X1))
| ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_147,plain,
( f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| ~ f(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))
| ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( g(z(X0,X1),z(X0,X1))
| f(z(X0,X1),z(X0,X1)) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1)))) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_161,plain,
( ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| ~ f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| ~ f(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_178,plain,
( g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| f(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( ~ g(X0,z(X0,X1))
| ~ f(X0,z(X0,X1))
| ~ f(z(X0,z(X0,X1)),z(X0,z(X0,X1))) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_193,plain,
( ~ g(iProver_bot,z(iProver_bot,iProver_bot))
| ~ f(iProver_bot,z(iProver_bot,iProver_bot))
| ~ f(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( g(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1))))
| f(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1)))) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_207,plain,
( g(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))))
| f(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( ~ g(X0,z(X1,X0))
| ~ g(z(X0,z(X1,X0)),z(X0,z(X1,X0))) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_223,plain,
( ~ g(iProver_bot,z(iProver_bot,iProver_bot))
| ~ g(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( g(z(X0,z(X0,X1)),z(X0,z(X0,X1)))
| f(z(X0,z(X0,X1)),z(X0,z(X0,X1))) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_296,plain,
( g(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot)))
| f(z(iProver_bot,z(iProver_bot,iProver_bot)),z(iProver_bot,z(iProver_bot,iProver_bot))) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( f(X1,z(X0,X1))
| f(X0,z(X0,X1))
| ~ f(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_139]) ).
tcf(c_356,plain,
( f(iProver_bot,z(iProver_bot,iProver_bot))
| ~ f(iProver_bot,iProver_bot) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( ~ g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ g(z(z(X0,X1),z(z(X0,X1),z(X0,X1))),z(z(X0,X1),z(z(X0,X1),z(X0,X1)))) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_372,plain,
( ~ g(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))
| ~ g(z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot))),z(z(iProver_bot,iProver_bot),z(z(iProver_bot,iProver_bot),z(iProver_bot,iProver_bot)))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_389,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_372,c_356,c_296,c_223,c_207,c_193,c_178,c_161,c_147,c_145,c_67,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:54:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.80/1.27 % SZS status Started for theBenchmark.p
% 1.80/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.27
% 1.80/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.80/1.27
% 1.80/1.27 % ------ iProver source info
% 1.80/1.27
% 1.80/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.80/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.80/1.27 % git: non_committed_changes: false
% 1.80/1.27
% 1.80/1.27 % ------ Parsing...% successful
% 1.80/1.27
% 1.80/1.27
% 1.80/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.80/1.27
% 1.80/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.80/1.27
% 1.80/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.80/1.27 % ------ Proving...
% 1.80/1.27 % ------ Problem Properties
% 1.80/1.27
% 1.80/1.27 %
% 1.80/1.27 % clauses 7
% 1.80/1.27 % conjectures 6
% 1.80/1.27 % EPR 1
% 1.80/1.27 % Horn 4
% 1.80/1.27 % unary 0
% 1.80/1.27 % binary 4
% 1.80/1.27 % lits 17
% 1.80/1.27 % lits eq 0
% 1.80/1.27 % fd_pure 0
% 1.80/1.27 % fd_pseudo 0
% 1.80/1.27 % fd_cond 0
% 1.80/1.27 % fd_pseudo_cond 0
% 1.80/1.27 % AC symbols 0
% 1.80/1.27
% 1.80/1.27 % ------ Schedule dynamic 5 is on
% 1.80/1.27
% 1.80/1.27 % ------ no equalities: superposition off
% 1.80/1.27
% 1.80/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.27
% 1.80/1.27
% 1.80/1.27 % ------
% 1.80/1.27 % Current options:
% 1.80/1.27 % ------
% 1.80/1.27
% 1.80/1.27
% 1.80/1.27 %
% 1.80/1.27
% 1.80/1.27 % ------ Proving...
% 1.80/1.27 %
% 1.80/1.27
% 1.80/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.27
% 1.80/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.28
% 1.80/1.28
%------------------------------------------------------------------------------