%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN345-1 : 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 : n005.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 03:39:47 PM UTC 2026
% Result : Unsatisfiable 1.69s 6.33s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 1 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 48 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( f(a,b,b)
| ~ f(a,a,b)
| f(a,b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(a,b,b)
| f(a,a,b)
| f(b,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ f(a,b,b)
| f(a,a,b)
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(a,b,b)
| f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( f(a,b,b)
| f(a,b,X0)
| ~ f(a,a,b) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,a,b)
| f(b,X0,X1)
| ~ f(a,b,b) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,a,b)
| ~ f(a,b,b)
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,b,b)
| f(a,a,b)
| f(X0,X1,z(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1,z(X0,X1))
| ~ f(a,b,b)
| ~ f(a,a,b) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( f(a,b,b)
| f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] :
( ~ f(a,b,b)
| ~ f(a,a,b)
| ~ f(b,b,X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
( f(a,b,b)
| ~ f(a,a,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_68,plain,
( f(a,b,b)
| f(a,a,b)
| f(b,b,z(b,b)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] :
( f(a,b,b)
| ~ f(b,b,X0) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_63,c_67]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,b,b)
| f(X0,X1,z(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_67,c_61]) ).
tcf(c_79,plain,
( f(a,b,b)
| f(b,b,z(b,b)) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_80,plain,
! [X0: $i] :
( ~ f(b,b,X0)
| ~ f(a,a,b) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_67,c_64]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] :
( ~ f(a,a,b)
| ~ f(b,b,X0) ),
inference(renaming,[status(thm)],[c_80]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1,z(X0,X1))
| ~ f(a,a,b) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_67,c_62]) ).
tcf(c_85,plain,
( f(b,b,z(b,b))
| ~ f(a,a,b) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_152,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_60]) ).
tcf(c_153,negated_conjecture,
( iPr_def_10
| f(a,a,b)
| ~ f(a,b,b) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
tcf(c_154,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| f(b,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_59]) ).
tcf(c_155,negated_conjecture,
( iPr_def_11
| f(a,a,b)
| ~ f(a,b,b) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_59]) ).
tcf(c_157,negated_conjecture,
! [X0: $i] :
( ~ f(a,a,b)
| ~ f(b,b,X0) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_159,negated_conjecture,
! [X0: $i] :
( f(a,b,b)
| ~ f(b,b,X0) ),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_161,negated_conjecture,
( iPr_def_10
| f(a,a,b)
| ~ f(a,b,b) ),
inference(demodulation,[status(thm)],[c_153]) ).
tcf(c_162,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ f(X0,z(X0,X1),z(X0,X1)) ),
inference(demodulation,[status(thm)],[c_152]) ).
tcf(c_163,negated_conjecture,
( iPr_def_11
| f(a,a,b)
| ~ f(a,b,b) ),
inference(demodulation,[status(thm)],[c_155]) ).
tcf(c_164,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,X0,X1)
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_154]) ).
tcf(c_166,plain,
( ~ iPr_def_10
| ~ f(b,z(b,b),z(b,b)) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_168,plain,
! [X0: $i] :
( f(b,z(b,X0),z(b,X0))
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_169,plain,
( f(b,z(b,b),z(b,b))
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_172,plain,
( f(a,b,b)
| ~ f(b,b,z(b,b)) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_176,plain,
( ~ f(a,a,b)
| ~ f(b,b,z(b,b)) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_177,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_176,c_172,c_169,c_166,c_163,c_161,c_85,c_79,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN345-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 % Computer : n005.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.43 % CPULimit : 300
% 0.15/5.43 % WCLimit : 300
% 0.15/5.43 % DateTime : Fri Sep 25 00:55:08 UTC 2026
% 0.15/5.43 % CPUTime :
% 0.15/5.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.46 Running first-order theorem proving
% 0.15/5.46 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
% 0.15/5.47
% 0.15/5.47 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.47
% 0.15/5.47 % Detected problem language: tptp
% 0.15/5.48 % Proving...
% 1.69/6.33 % SZS status Started for theBenchmark.p
% 1.69/6.33 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/6.33
% 1.69/6.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/6.33
% 1.69/6.33 % ------ iProver source info
% 1.69/6.33
% 1.69/6.33 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/6.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/6.33 % git: non_committed_changes: false
% 1.69/6.33
% 1.69/6.33 % ------ Parsing...% successful
% 1.69/6.33
% 1.69/6.33
% 1.69/6.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/6.33
% 1.69/6.33 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/6.33
% 1.69/6.33 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.69/6.33 % ------ Proving...
% 1.69/6.33 % ------ Problem Properties
% 1.69/6.33
% 1.69/6.33 %
% 1.69/6.33 % clauses 9
% 1.69/6.33 % conjectures 9
% 1.69/6.33 % EPR 6
% 1.69/6.33 % Horn 6
% 1.69/6.33 % unary 0
% 1.69/6.33 % binary 7
% 1.69/6.33 % lits 20
% 1.69/6.33 % lits eq 0
% 1.69/6.33 % fd_pure 0
% 1.69/6.33 % fd_pseudo 0
% 1.69/6.33 % fd_cond 0
% 1.69/6.33 % fd_pseudo_cond 0
% 1.69/6.33 % AC symbols 0
% 1.69/6.33
% 1.69/6.33 % ------ Schedule dynamic 5 is on
% 1.69/6.33
% 1.69/6.33 % ------ no equalities: superposition off
% 1.69/6.33
% 1.69/6.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/6.33
% 1.69/6.33
% 1.69/6.33 % ------
% 1.69/6.33 % Current options:
% 1.69/6.33 % ------
% 1.69/6.33
% 1.69/6.33
% 1.69/6.33 %
% 1.69/6.33
% 1.69/6.33 % ------ Proving...
% 1.69/6.33 %
% 1.69/6.33
% 1.69/6.33 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/6.33
% 1.69/6.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/6.33
% 1.69/6.33
%------------------------------------------------------------------------------