%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN075-1 : 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 : n015.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 03:39:07 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.29s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 8 unt; 0 def)
% Number of atoms : 114 ( 61 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 117 ( 53 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = a
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0,X1] :
( a = X0
| ~ big_f(X0,X1) ),
inference(reorient_equations,[],[f1]) ).
fof(f5,axiom,
! [X0,X1] :
( big_f(X0,X1)
| X1 != b
| X0 != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,plain,
! [X0,X1] :
( big_f(X0,X1)
| b != X1
| a != X0 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( f(X1) = X1
| X0 != g(X1)
| ~ big_f(X0,f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f8,plain,
! [X0,X1] :
( f(X1) = X1
| g(X1) != X0
| ~ big_f(X0,f(X1)) ),
inference(reorient_equations,[],[f7]) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( f(X1) = X1
| big_f(X0,f(X1))
| X0 != g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f12,plain,
! [X0,X1] :
( f(X1) = X1
| big_f(X0,f(X1))
| g(X1) != X0 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( h(X1,X2) = X2
| big_f(h(X1,X2),f(X1))
| big_f(X0,f(X1))
| X0 != g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f14,plain,
! [X2,X0,X1] :
( h(X1,X2) = X2
| big_f(h(X1,X2),f(X1))
| big_f(X0,f(X1))
| g(X1) != X0 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ big_f(h(X1,X2),f(X1))
| h(X1,X2) != X2
| big_f(X0,f(X1))
| X0 != g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ big_f(h(X1,X2),f(X1))
| h(X1,X2) != X2
| big_f(X0,f(X1))
| g(X1) != X0 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( h(X0,X1) = X1
| big_f(h(X0,X1),f(X0))
| f(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ big_f(h(X0,X1),f(X0))
| h(X0,X1) != X1
| f(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f19,plain,
! [X1] :
( big_f(a,X1)
| b != X1 ),
inference(equality_resolution,[],[f6]) ).
fof(f20,plain,
big_f(a,b),
inference(equality_resolution,[],[f19]) ).
fof(f21,plain,
! [X1] :
( f(X1) = X1
| ~ big_f(g(X1),f(X1)) ),
inference(equality_resolution,[],[f8]) ).
fof(f22,plain,
! [X1] :
( f(X1) = X1
| big_f(g(X1),f(X1)) ),
inference(equality_resolution,[],[f12]) ).
fof(f23,plain,
! [X2,X1] :
( h(X1,X2) = X2
| big_f(h(X1,X2),f(X1))
| big_f(g(X1),f(X1)) ),
inference(equality_resolution,[],[f14]) ).
fof(f24,plain,
! [X2,X1] :
( ~ big_f(h(X1,X2),f(X1))
| h(X1,X2) != X2
| big_f(g(X1),f(X1)) ),
inference(equality_resolution,[],[f16]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ( X0 = a )
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
big_f(a,b),
inference(cnf_transformation,[],[f20]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] :
( ( f(X0) = X0 )
| ~ big_f(g(X0),f(X0)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( big_f(g(X0),f(X0))
| ( f(X0) = X0 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(g(X0),f(X0))
| big_f(h(X0,X1),f(X0))
| ( h(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(g(X0),f(X0))
| ~ big_f(h(X0,X1),f(X0))
| ( h(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(h(X0,X1),f(X0))
| ( h(X0,X1) = X1 )
| ( f(X0) != X0 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(h(X0,X1),f(X0))
| ( f(X0) != X0 )
| ( h(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] : f(X0) = X0,
inference(global_subsumption_just,[status(thm)],[c_63,c_63,c_62]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] : f(X0) = X0,
inference(global_subsumption_just,[status(thm)],[c_62,c_63,c_62]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) = X1 )
| big_f(h(X0,X1),f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_66,c_76]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(h(X0,X1),f(X0))
| ( h(X0,X1) = X1 ) ),
inference(renaming,[status(thm)],[c_81]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) != X1 )
| ~ big_f(h(X0,X1),f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_63,c_62,c_67]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(h(X0,X1),f(X0))
| ( h(X0,X1) != X1 ) ),
inference(renaming,[status(thm)],[c_86]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) != X1 )
| ~ big_f(h(X0,X1),f(X0)) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ~ big_f(h(X0,X1),f(X0))
| ( h(X0,X1) != X1 ) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) = X1 )
| big_f(h(X0,X1),f(X0)) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( big_f(h(X0,X1),f(X0))
| ( h(X0,X1) = X1 ) ),
inference(renaming,[status(thm)],[c_93]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( big_f(h(X0,X1),X0)
| ( h(X0,X1) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_94,c_79]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( ~ big_f(h(X0,X1),X0)
| ( h(X0,X1) != X1 ) ),
inference(light_normalisation,[status(thm)],[c_92,c_79]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) != X1 )
| ~ big_f(h(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_147]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( ~ big_f(h(X0,X1),X0)
| ( h(X0,X1) != X1 ) ),
inference(renaming,[status(thm)],[c_211]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) = X1 )
| big_f(h(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_140]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( big_f(h(X0,X1),X0)
| ( h(X0,X1) = X1 ) ),
inference(renaming,[status(thm)],[c_213]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] :
( ( h(X0,X1) = a )
| ( h(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] :
( ( h(X1,X0) = a )
| ( X0 != a ) ),
inference(equality_factoring,[status(thm)],[c_475]) ).
tcf(c_515,plain,
! [X0: $i] : h(X0,a) = a,
inference(equality_resolution,[status(thm)],[c_497]) ).
tcf(c_536,plain,
! [X0: $i] : ~ big_f(h(X0,a),X0),
inference(superposition,[status(thm)],[c_515,c_212]) ).
tcf(c_538,plain,
! [X0: $i] : ~ big_f(a,X0),
inference(light_normalisation,[status(thm)],[c_536,c_515]) ).
tcf(c_539,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 00:08:58 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.69/1.29 % SZS status Started for theBenchmark.p
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.29
% 1.69/1.29 % ------ iProver source info
% 1.69/1.29
% 1.69/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.29 % git: non_committed_changes: false
% 1.69/1.29
% 1.69/1.29 % ------ Parsing...% successful
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.29 % ------ Proving...
% 1.69/1.29 % ------ Problem Properties
% 1.69/1.29
% 1.69/1.29 %
% 1.69/1.29 % clauses 6
% 1.69/1.29 % conjectures 1
% 1.69/1.29 % EPR 3
% 1.69/1.29 % Horn 5
% 1.69/1.29 % unary 2
% 1.69/1.29 % binary 4
% 1.69/1.29 % lits 10
% 1.69/1.29 % lits eq 5
% 1.69/1.29 % fd_pure 0
% 1.69/1.29 % fd_pseudo 0
% 1.69/1.29 % fd_cond 2
% 1.69/1.29 % fd_pseudo_cond 0
% 1.69/1.29 % AC symbols 0
% 1.69/1.29
% 1.69/1.29 % ------ Schedule dynamic 5 is on
% 1.69/1.29
% 1.69/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 % ------
% 1.69/1.29 % Current options:
% 1.69/1.29 % ------
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 %
% 1.69/1.29
% 1.69/1.29 % ------ Proving...
% 1.69/1.29 %
% 1.69/1.29
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.29
% 1.69/1.29
%------------------------------------------------------------------------------