%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 03:41:07 PM UTC 2026
% Result : Unsatisfiable 10.62s 7.79s
% Output : CNFRefutation 10.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 46 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p11(f5(X0),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).
fof(f6,negated_conjecture,
! [X0] : ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f14,negated_conjecture,
! [X0,X1] : p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).
tcf(c_70,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] : p11(f5(X0),c14),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( p11(c14,X0)
| ~ p11(f5(f10(X0)),X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i] : p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,f3(X2,X1))
| ~ p11(f9(X0,X1),X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p11(X1,X3)
| ~ p11(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_89,plain,
p2(c14,c14),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_98,plain,
~ p11(c14,f3(c14,f5(f6(f7(c12))))),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_190,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2,X3_iProver_p2_2: iProver_p2_2] :
( p11(X1_iProver_p2_2,X3_iProver_p2_2)
| ~ p11(X0_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X2_iProver_p2_2,X3_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_85]) ).
tcf(c_192,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2] :
( p11(X0_iProver_p2_2,f3(X2_iProver_p2_2,X1_iProver_p2_2))
| ~ p11(f9(X0_iProver_p2_2,X1_iProver_p2_2),X2_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_83]) ).
tcf(c_193,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] : p2(f9(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2)),f5(f8(X0_iProver_p4_2,X1_iProver_p4_2))),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_195,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2] :
( p2(X1_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_200,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2] :
( p11(c14,X0_iProver_p2_2)
| ~ p11(f5(f10(X0_iProver_p2_2)),X0_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_204,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2] : p11(f5(X0_iProver_p4_2),c14),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_205,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2] : p2(X0_iProver_p2_2,X0_iProver_p2_2),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_215,plain,
( p11(c14,f3(c14,f5(f6(f7(c12)))))
| ~ p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_223,plain,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2,X3_iProver_p2_2: iProver_p2_2,X4_iProver_p2_2: iProver_p2_2] :
( p11(f9(X1_iProver_p2_2,X2_iProver_p2_2),X4_iProver_p2_2)
| ~ p11(X0_iProver_p2_2,X3_iProver_p2_2)
| ~ p2(X3_iProver_p2_2,X4_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,f9(X1_iProver_p2_2,X2_iProver_p2_2)) ),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_239,plain,
( p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12)))))
| ~ p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_261,plain,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14)
| ~ p2(X1_iProver_p2_2,c14)
| ~ p11(X0_iProver_p2_2,X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_223]) ).
tcf(c_333,plain,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p2(X1_iProver_p2_2,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_438,plain,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2] :
( p2(X2_iProver_p2_2,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
| ~ p2(f9(X0_iProver_p2_2,X1_iProver_p2_2),X2_iProver_p2_2)
| ~ p2(f9(X0_iProver_p2_2,X1_iProver_p2_2),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_775,plain,
! [X0_iProver_p2_2: iProver_p2_2] :
( p2(X0_iProver_p2_2,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
| ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),X0_iProver_p2_2)
| ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_438]) ).
tcf(c_925,plain,
! [X0_iProver_p2_2: iProver_p2_2] : p2(f9(X0_iProver_p2_2,f5(f6(f7(c12)))),f9(X0_iProver_p2_2,f5(f6(f7(c12))))),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_1251,plain,
p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1982,plain,
( p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
| ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))))
| ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_775]) ).
tcf(c_2345,plain,
p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12))))),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_5320,plain,
! [X0_iProver_p2_2: iProver_p2_2] :
( p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14)
| ~ p2(X0_iProver_p2_2,c14)
| ~ p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),X0_iProver_p2_2)
| ~ p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_5321,plain,
( p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14)
| ~ p2(c14,c14)
| ~ p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),c14)
| ~ p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
inference(instantiation,[status(thm)],[c_5320]) ).
tcf(c_29744,plain,
p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),c14),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_29745,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29744,c_5321,c_2345,c_1982,c_1251,c_239,c_215,c_98,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n018.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Fri Sep 25 01:48:40 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.47 % Proving...
% 10.62/7.79 % SZS status Started for theBenchmark.p
% 10.62/7.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.62/7.79
% 10.62/7.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.62/7.79
% 10.62/7.79 % ------ iProver source info
% 10.62/7.79
% 10.62/7.79 % git: date: 2026-07-19 20:42:38 +0200
% 10.62/7.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.62/7.79 % git: non_committed_changes: false
% 10.62/7.79
% 10.62/7.79 % ------ Parsing...% successful
% 10.62/7.79
% 10.62/7.79
% 10.62/7.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.62/7.79
% 10.62/7.79 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.62/7.79
% 10.62/7.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.62/7.79 % ------ Proving...
% 10.62/7.79 % ------ Problem Properties
% 10.62/7.79
% 10.62/7.79 %
% 10.62/7.79 % clauses 20
% 10.62/7.79 % conjectures 20
% 10.62/7.79 % EPR 6
% 10.62/7.79 % Horn 19
% 10.62/7.79 % unary 6
% 10.62/7.79 % binary 8
% 10.62/7.79 % lits 41
% 10.62/7.79 % lits eq 0
% 10.62/7.79 % fd_pure 0
% 10.62/7.79 % fd_pseudo 0
% 10.62/7.79 % fd_cond 0
% 10.62/7.79 % fd_pseudo_cond 0
% 10.62/7.79 % AC symbols 0
% 10.62/7.79
% 10.62/7.79 % ------ Input Options Time Limit: Unbounded
% 10.62/7.79
% 10.62/7.79
% 10.62/7.79 % ------
% 10.62/7.79 % Current options:
% 10.62/7.79 % ------
% 10.62/7.79
% 10.62/7.79
% 10.62/7.79 %
% 10.62/7.79
% 10.62/7.79 % ------ Proving...
% 10.62/7.79 %
% 10.62/7.79
% 10.62/7.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.62/7.79
% 10.62/7.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.62/7.79
% 10.62/7.79
%------------------------------------------------------------------------------