%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:39:01 PM UTC 2026
% Result : Unsatisfiable 1.52s 1.21s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 13 ( 12 usr; 8 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( big_q(X1)
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f3,axiom,
( big_s(c)
| ~ big_q(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,axiom,
! [X0,X1] :
( big_g(X1)
| ~ big_f(X1)
| ~ big_s(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
big_p(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
big_f(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ big_g(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
tcf(c_58,negated_conjecture,
big_p(d),
inference(cnf_transformation,[],[f7]) ).
tcf(c_59,negated_conjecture,
big_f(d),
inference(cnf_transformation,[],[f8]) ).
tcf(c_60,negated_conjecture,
~ big_g(d),
inference(cnf_transformation,[],[f9]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( big_g(X1)
| ~ big_f(X1)
| ~ big_s(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
( big_s(c)
| ~ big_q(b) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_70,plain,
! [X0_iProver_big_g_1: iProver_big_g_1,X0_iProver_big_s_1: iProver_big_s_1] :
( big_g(X0_iProver_big_g_1)
| ~ big_f(X0_iProver_big_g_1)
| ~ big_s(X0_iProver_big_s_1) ),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_72,plain,
! [X0_iProver_big_g_1: iProver_big_g_1,X0_iProver_big_q_1: iProver_big_q_1] :
( big_q(X0_iProver_big_q_1)
| ~ big_p(X0_iProver_big_g_1) ),
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_73,plain,
! [X0_iProver_big_q_1: iProver_big_q_1] :
( ~ iPr_def_10
| big_q(X0_iProver_big_q_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_72]) ).
tcf(c_74,plain,
! [X0_iProver_big_g_1: iProver_big_g_1] :
( ~ iPr_def_11
| ~ big_p(X0_iProver_big_g_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_72]) ).
tcf(c_75,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_72]) ).
tcf(c_76,plain,
! [X0_iProver_big_g_1: iProver_big_g_1] :
( ~ iPr_def_12
| ~ big_f(X0_iProver_big_g_1)
| big_g(X0_iProver_big_g_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_70]) ).
tcf(c_77,plain,
! [X0_iProver_big_s_1: iProver_big_s_1] :
( ~ iPr_def_13
| ~ big_s(X0_iProver_big_s_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_70]) ).
tcf(c_78,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_70]) ).
tcf(c_79,plain,
( big_q(b)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_80,plain,
( ~ iPr_def_11
| ~ big_p(d) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_81,plain,
( ~ iPr_def_13
| ~ big_s(c) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_82,plain,
( big_g(d)
| ~ iPr_def_12
| ~ big_f(d) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_83,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_82,c_81,c_80,c_79,c_78,c_75,c_63,c_60,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 00:01:51 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running EPR theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 1.52/1.21 % SZS status Started for theBenchmark.p
% 1.52/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.52/1.21
% 1.52/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.52/1.21
% 1.52/1.21 % ------ iProver source info
% 1.52/1.21
% 1.52/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 1.52/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.52/1.21 % git: non_committed_changes: false
% 1.52/1.21
% 1.52/1.21 % ------ Parsing...% successful
% 1.52/1.21
% 1.52/1.21
% 1.52/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.52/1.21 %
% 1.52/1.21
% 1.52/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e %
% 1.52/1.21
% 1.52/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.52/1.21 gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.52/1.21 % ------ Proving...
% 1.52/1.21 % ------ Problem Properties
% 1.52/1.21
% 1.52/1.21 %
% 1.52/1.21 % clauses 10
% 1.52/1.21 % conjectures 3
% 1.52/1.21 % EPR 10
% 1.52/1.21 % Horn 8
% 1.52/1.21 % unary 3
% 1.52/1.21 % binary 6
% 1.52/1.21 % lits 18
% 1.52/1.21 % lits eq 0
% 1.52/1.21 % fd_pure 0
% 1.52/1.21 % fd_pseudo 0
% 1.52/1.21 % fd_cond 0
% 1.52/1.21 % fd_pseudo_cond 0
% 1.52/1.21 % AC symbols 0
% 1.52/1.21
% 1.52/1.21 % ------ Schedule EPR non Horn non eq is on
% 1.52/1.21
% 1.52/1.21 % ------ no equalities: superposition off
% 1.52/1.21
% 1.52/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.52/1.21
% 1.52/1.21
% 1.52/1.21 % ------
% 1.52/1.21 % Current options:
% 1.52/1.21 % ------
% 1.52/1.21
% 1.52/1.21
% 1.52/1.21 %
% 1.52/1.21
% 1.52/1.21 % ------ Proving...
% 1.52/1.21 %
% 1.52/1.21
% 1.52/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.52/1.21
% 1.52/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.52/1.21
% 1.52/1.21
%------------------------------------------------------------------------------