%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 03:39:44 PM UTC 2026
% Result : Unsatisfiable 1.70s 1.26s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 1 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 152 ( 67 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ f(X0)
| g(y(X0))
| ~ f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( f(X0)
| f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( f(X0)
| ~ g(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ g(X0)
| h(y(X0))
| ~ f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0] :
( g(X0)
| f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0] :
( g(X0)
| ~ h(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ h(X0)
| h(y(X0))
| f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ h(X0)
| h(y(X0))
| ~ g(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X0] :
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X0] :
( h(X0)
| ~ h(y(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( g(y(X0))
| ~ f(X0)
| ~ f(y(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( f(X0)
| f(y(X0)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] :
( f(X0)
| ~ g(y(X0)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( h(y(X0))
| ~ g(X0)
| ~ f(y(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] :
( g(X0)
| f(y(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] :
( g(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,negated_conjecture,
! [X0: $i] :
( h(y(X0))
| f(y(X0))
| ~ h(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] :
( h(y(X0))
| ~ h(X0)
| ~ g(y(X0)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] :
( h(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] :
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_139,plain,
! [X0: $i] :
( h(X0)
| f(X0)
| ~ f(y(X0)) ),
inference(resolution,[status(thm)],[c_68,c_62]) ).
tcf(c_141,plain,
! [X0: $i] :
( h(X0)
| f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_139,c_61,c_139]) ).
tcf(c_150,plain,
! [X0: $i] :
( h(y(X0))
| ~ h(X0)
| ~ f(X0)
| ~ f(y(X0)) ),
inference(resolution,[status(thm)],[c_60,c_67]) ).
tcf(c_152,plain,
! [X0: $i] :
( h(y(X0))
| ~ h(X0)
| ~ f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_150,c_66,c_150]) ).
tcf(c_167,plain,
! [X0: $i] :
( h(X0)
| h(y(y(X0)))
| ~ f(y(X0))
| ~ f(y(y(X0))) ),
inference(resolution,[status(thm)],[c_68,c_63]) ).
tcf(c_173,plain,
! [X0: $i] :
( h(X0)
| h(y(y(X0)))
| ~ f(y(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167,c_141]) ).
tcf(c_181,plain,
! [X0: $i] :
( h(y(y(X0)))
| ~ f(X0)
| ~ f(y(X0))
| ~ f(y(y(X0))) ),
inference(resolution,[status(thm)],[c_60,c_63]) ).
tcf(c_187,plain,
! [X0: $i] :
( h(y(y(X0)))
| ~ f(X0)
| ~ f(y(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181,c_141]) ).
tcf(c_208,plain,
! [X0: $i] :
( f(X0)
| ~ h(y(y(X0))) ),
inference(resolution,[status(thm)],[c_62,c_65]) ).
tcf(c_216,plain,
! [X0: $i] :
( f(X0)
| f(y(y(X0))) ),
inference(resolution,[status(thm)],[c_62,c_64]) ).
tcf(c_224,plain,
! [X0: $i] :
( ~ h(z(X0))
| ~ f(z(X0))
| ~ h(y(z(X0))) ),
inference(resolution,[status(thm)],[c_65,c_70]) ).
tcf(c_229,plain,
! [X0: $i] :
( ~ h(z(X0))
| ~ f(z(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224,c_152]) ).
tcf(c_305,plain,
! [X0: $i] :
( f(X0)
| f(y(y(X0))) ),
inference(demodulation,[status(thm)],[c_216]) ).
tcf(c_306,plain,
! [X0: $i] :
( f(X0)
| ~ h(y(y(X0))) ),
inference(demodulation,[status(thm)],[c_208]) ).
tcf(c_308,plain,
! [X0: $i] :
( h(y(y(X0)))
| ~ f(X0)
| ~ f(y(X0)) ),
inference(demodulation,[status(thm)],[c_187]) ).
tcf(c_309,plain,
! [X0: $i] :
( h(X0)
| h(y(y(X0)))
| ~ f(y(X0)) ),
inference(demodulation,[status(thm)],[c_173]) ).
tcf(c_310,plain,
! [X0: $i] :
( h(y(X0))
| ~ h(X0)
| ~ f(X0) ),
inference(demodulation,[status(thm)],[c_152]) ).
tcf(c_311,plain,
! [X0: $i] :
( h(X0)
| f(X0) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_312,negated_conjecture,
! [X0: $i] :
( h(X0)
| ~ h(y(X0)) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_313,negated_conjecture,
! [X0: $i] :
( f(X0)
| f(y(X0)) ),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_315,plain,
! [X0: $i] :
( f(z(X0))
| ~ h(y(y(z(X0)))) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_316,plain,
! [X0: $i] :
( f(z(X0))
| f(y(y(z(X0)))) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_317,plain,
! [X0: $i] :
( f(z(X0))
| f(y(z(X0))) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_322,plain,
! [X0: $i] :
( h(y(X0))
| f(y(X0)) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_335,plain,
! [X0: $i] :
( h(y(y(z(X0))))
| ~ f(z(X0))
| ~ f(y(z(X0))) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_347,plain,
! [X0: $i] :
( h(y(y(X0)))
| ~ h(y(X0))
| ~ f(y(X0)) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_353,plain,
! [X0: $i] :
( h(z(X0))
| ~ h(y(z(X0))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_355,plain,
! [X0: $i] :
( h(y(y(X0)))
| ~ h(y(y(y(X0)))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_362,plain,
! [X0: $i] :
( h(y(z(X0)))
| h(y(y(y(z(X0)))))
| ~ f(y(y(z(X0)))) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_363,plain,
! [X0: $i] :
( h(y(z(X0)))
| ~ h(y(y(z(X0)))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_385,plain,
! [X0: $i] :
( h(y(z(X0)))
| f(y(z(X0))) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_413,plain,
! [X0: $i] :
( h(y(y(z(X0))))
| ~ h(y(z(X0)))
| ~ f(y(z(X0))) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_415,plain,
! [X0: $i] :
( h(y(y(z(X0))))
| ~ h(y(y(y(z(X0))))) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_416,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_415,c_413,c_385,c_362,c_363,c_353,c_335,c_315,c_316,c_317,c_229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.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 00:46:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.70/1.26 % SZS status Started for theBenchmark.p
% 1.70/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.26
% 1.70/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.70/1.26
% 1.70/1.26 % ------ iProver source info
% 1.70/1.26
% 1.70/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.70/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.70/1.26 % git: non_committed_changes: false
% 1.70/1.26
% 1.70/1.26 % ------ Parsing...% successful
% 1.70/1.26
% 1.70/1.26
% 1.70/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.70/1.26
% 1.70/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.70/1.26
% 1.70/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.70/1.26 % ------ Proving...
% 1.70/1.26 % ------ Problem Properties
% 1.70/1.26
% 1.70/1.26 %
% 1.70/1.26 % clauses 10
% 1.70/1.26 % conjectures 2
% 1.70/1.26 % EPR 1
% 1.70/1.26 % Horn 5
% 1.70/1.26 % unary 0
% 1.70/1.26 % binary 6
% 1.70/1.26 % lits 24
% 1.70/1.26 % lits eq 0
% 1.70/1.26 % fd_pure 0
% 1.70/1.26 % fd_pseudo 0
% 1.70/1.26 % fd_cond 0
% 1.70/1.26 % fd_pseudo_cond 0
% 1.70/1.26 % AC symbols 0
% 1.70/1.26
% 1.70/1.26 % ------ Schedule dynamic 5 is on
% 1.70/1.26
% 1.70/1.26 % ------ no equalities: superposition off
% 1.70/1.26
% 1.70/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.70/1.26
% 1.70/1.26
% 1.70/1.26 % ------
% 1.70/1.26 % Current options:
% 1.70/1.26 % ------
% 1.70/1.26
% 1.70/1.26
% 1.70/1.26 %
% 1.70/1.26
% 1.70/1.26 % ------ Proving...
% 1.70/1.26 %
% 1.70/1.26
% 1.70/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.26
% 1.70/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.70/1.27
% 1.70/1.27
%------------------------------------------------------------------------------