%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 03:38:52 PM UTC 2026
% Result : Unsatisfiable 1.75s 1.27s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 3 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 44 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( big_g(X1,g(X0,X1))
| ~ big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ big_g(X1,g(X0,X1))
| big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| big_g(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(X1,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,g(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,g(X1,X0))
| ~ big_f(X1,X0)
| ~ big_g(X0,g(X1,X0)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ~ big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(renaming,[status(thm)],[c_70]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_61,c_60]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1)) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_71]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1)) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,g(X1,X0))
| ~ big_f(X1,X0)
| ~ big_g(X0,g(X1,X0)) ),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i] :
( big_g(X1,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,g(X0,X1)) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( big_g(g(X0,X1),g(X0,X1))
| big_f(g(X0,X1),g(X0,X1)) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_279,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_134,c_62,c_97,c_148]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( big_f(X1,g(X0,X1))
| big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_138]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( big_f(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_135]) ).
tcf(c_433,plain,
! [X0: $i] :
( big_f(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(equality_factoring,[status(thm)],[c_346]) ).
tcf(c_548,plain,
! [X0: $i] :
( ~ big_f(X0,X0)
| ~ big_g(X0,g(X0,X0)) ),
inference(superposition,[status(thm)],[c_433,c_279]) ).
tcf(c_549,plain,
! [X0: $i] :
( big_g(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(superposition,[status(thm)],[c_433,c_139]) ).
tcf(c_554,plain,
! [X0: $i] : ~ big_f(X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_549,c_548]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i] : ~ big_g(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_348,c_554]) ).
tcf(c_557,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_136,c_555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n009.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 : Thu Sep 24 23:50:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 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...
% 1.75/1.27 % SZS status Started for theBenchmark.p
% 1.75/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.27
% 1.75/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.75/1.27
% 1.75/1.27 % ------ iProver source info
% 1.75/1.27
% 1.75/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.75/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.75/1.27 % git: non_committed_changes: false
% 1.75/1.27
% 1.75/1.27 % ------ Parsing...% successful
% 1.75/1.27
% 1.75/1.27
% 1.75/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.75/1.27
% 1.75/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.75/1.27
% 1.75/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.75/1.27 % ------ Proving...
% 1.75/1.27 % ------ Problem Properties
% 1.75/1.27
% 1.75/1.27 %
% 1.75/1.27 % clauses 7
% 1.75/1.27 % conjectures 6
% 1.75/1.27 % EPR 1
% 1.75/1.27 % Horn 4
% 1.75/1.27 % unary 0
% 1.75/1.27 % binary 4
% 1.75/1.27 % lits 17
% 1.75/1.27 % lits eq 0
% 1.75/1.27 % fd_pure 0
% 1.75/1.27 % fd_pseudo 0
% 1.75/1.27 % fd_cond 0
% 1.75/1.27 % fd_pseudo_cond 0
% 1.75/1.27 % AC symbols 0
% 1.75/1.27
% 1.75/1.27 % ------ Schedule dynamic 5 is on
% 1.75/1.27
% 1.75/1.27 % ------ no equalities: superposition off
% 1.75/1.27
% 1.75/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.75/1.27
% 1.75/1.27
% 1.75/1.27 % ------
% 1.75/1.27 % Current options:
% 1.75/1.27 % ------
% 1.75/1.27
% 1.75/1.27
% 1.75/1.27 %
% 1.75/1.27
% 1.75/1.27 % ------ Proving...
% 1.75/1.27 %
% 1.75/1.27
% 1.75/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.27
% 1.75/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/1.27
% 1.75/1.27
%------------------------------------------------------------------------------