%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN586-1 : 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 : n019.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 03:41:09 PM UTC 2026
% Result : Unsatisfiable 3.76s 6.32s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(f11(X0),f11(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_17) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
fof(f22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_22) ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_23) ).
tcf(c_78,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_79,negated_conjecture,
p3(c21,c19),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f11(X0),f11(X1))
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X3,X1)
| ~ p15(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f4(X2,X0),f4(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_96,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(cnf_transformation,[],[f22]) ).
tcf(c_97,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(cnf_transformation,[],[f23]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( p15(X0,X1)
| ~ p2(c20,X1)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_251,plain,
p2(c20,c20),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_257,plain,
! [X0: $i] :
( p15(X0,c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0) ),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( p15(f4(X0,X1),c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(X0,X1)) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(X0,X1))
| ~ p3(f11(c21),X1)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i] :
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(X0,f11(X1)))
| ~ p3(f11(c21),f11(X1))
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_408,plain,
! [X0: $i] :
( p3(f11(c21),f11(X0))
| ~ p3(c21,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_467,plain,
p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_479,plain,
( p3(f11(c21),f11(c19))
| ~ p3(c21,c19) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_776,plain,
! [X0: $i] :
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(X0,f11(c19)))
| ~ p3(f11(c21),f11(c19))
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_1649,plain,
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)))
| ~ p3(f11(c21),f11(c19))
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))) ),
inference(instantiation,[status(thm)],[c_776]) ).
tcf(c_2322,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_2323,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2322,c_1649,c_479,c_467,c_251,c_97,c_96,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.38 % Computer : n019.cluster.edu
% 0.13/5.38 % Model : x86_64 x86_64
% 0.13/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.38 % Memory : 8046.5625MB
% 0.13/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/5.38 % CPULimit : 300
% 0.13/5.38 % WCLimit : 300
% 0.13/5.38 % DateTime : Fri Sep 25 01:49:26 UTC 2026
% 0.13/5.38 % CPUTime :
% 0.13/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 3.76/6.32 % SZS status Started for theBenchmark.p
% 3.76/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/6.32
% 3.76/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/6.32
% 3.76/6.32 % ------ iProver source info
% 3.76/6.32
% 3.76/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/6.32 % git: non_committed_changes: false
% 3.76/6.32
% 3.76/6.32 % ------ Parsing...% successful
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/6.32
% 3.76/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.76/6.32
% 3.76/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/6.32 % ------ Proving...
% 3.76/6.32 % ------ Problem Properties
% 3.76/6.32
% 3.76/6.32 %
% 3.76/6.32 % clauses 26
% 3.76/6.32 % conjectures 26
% 3.76/6.32 % EPR 10
% 3.76/6.32 % Horn 24
% 3.76/6.32 % unary 9
% 3.76/6.32 % binary 8
% 3.76/6.32 % lits 56
% 3.76/6.32 % lits eq 0
% 3.76/6.32 % fd_pure 0
% 3.76/6.32 % fd_pseudo 0
% 3.76/6.32 % fd_cond 0
% 3.76/6.32 % fd_pseudo_cond 0
% 3.76/6.32 % AC symbols 0
% 3.76/6.32
% 3.76/6.32 % ------ Schedule dynamic 5 is on
% 3.76/6.32
% 3.76/6.32 % ------ no equalities: superposition off
% 3.76/6.32
% 3.76/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 % ------
% 3.76/6.32 % Current options:
% 3.76/6.32 % ------
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 %
% 3.76/6.32
% 3.76/6.32 % ------ Proving...
% 3.76/6.32 %
% 3.76/6.32
% 3.76/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/6.32
% 3.76/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/6.32
% 3.76/6.32
%------------------------------------------------------------------------------