%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:41:06 PM UTC 2026
% Result : Unsatisfiable 16.39s 3.69s
% Output : CNFRefutation 16.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 18 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
fof(f3,negated_conjecture,
! [X0] : p2(f5(f7(X0)),f5(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p4(f8(X0,X1),f6(X0,f7(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).
fof(f10,negated_conjecture,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).
fof(f11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X0,f3(X2,X1))
| p10(f9(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
tcf(c_68,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : p2(f5(f7(X0)),f5(X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i] : p4(f8(X0,X1),f6(X0,f7(X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f5(X0),f5(X1))
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_77,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(f9(X0,X2),X1)
| ~ p10(X0,f3(X1,X2)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X1,X3)
| ~ p10(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f3(X0,X2),f3(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
p4(c11,c11),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_91,plain,
( p2(f5(c11),f5(c11))
| ~ p4(c11,c11) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X3,X2)
| ~ p2(f5(X0),X3)
| ~ p2(f3(f5(f6(X0,X1)),f5(X1)),X2)
| ~ p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f5(X3),X2)
| ~ p2(f5(X0),f5(X3))
| ~ p2(f3(f5(f6(X0,X1)),f5(X1)),X2)
| ~ p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f5(f6(X0,X1)),f5(X2))
| ~ p4(f6(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f3(f5(f6(X0,X1)),f5(X1)),f3(X2,X3))
| ~ p2(f5(X1),X3)
| ~ p2(f5(f6(X0,X1)),X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f6(X1,X2),X3)
| ~ p4(X0,X3)
| ~ p4(X0,f6(X1,X2)) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f3(f5(f6(X0,X1)),f5(X1)),f3(X2,f5(X3)))
| ~ p2(f5(X1),f5(X3))
| ~ p2(f5(f6(X0,X1)),X2) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i] :
( p4(f6(X0,f7(X1)),X2)
| ~ p4(f8(X0,X1),X2)
| ~ p4(f8(X0,X1),f6(X0,f7(X1))) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f3(f5(f6(X0,X1)),f5(X1)),f3(f5(X2),f5(X3)))
| ~ p2(f5(X1),f5(X3))
| ~ p2(f5(f6(X0,X1)),f5(X2)) ),
inference(instantiation,[status(thm)],[c_270]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( p4(f6(X0,f7(X1)),f8(X0,X1))
| ~ p4(f8(X0,X1),f8(X0,X1))
| ~ p4(f8(X0,X1),f6(X0,f7(X1))) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] : p4(f8(X0,X1),f8(X0,X1)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i] :
( p2(f5(f6(X0,f7(X1))),f5(f8(X0,X1)))
| ~ p4(f6(X0,f7(X1)),f8(X0,X1)) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f3(f5(f6(X0,f7(X1))),f5(f7(X1))),f3(f5(f8(X0,X1)),f5(X2)))
| ~ p2(f5(f7(X1)),f5(X2))
| ~ p2(f5(f6(X0,f7(X1))),f5(f8(X0,X1))) ),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_3815,plain,
! [X0: $i,X1: $i] : p10(f5(X0),f3(f5(f6(X0,f7(X1))),f5(f7(X1)))),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_6875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f5(X3),f3(f5(f8(X0,X1)),f5(X2)))
| ~ p2(f5(X0),f5(X3))
| ~ p10(f5(X0),f3(f5(f6(X0,f7(X1))),f5(f7(X1))))
| ~ p2(f3(f5(f6(X0,f7(X1))),f5(f7(X1))),f3(f5(f8(X0,X1)),f5(X2))) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_15848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f9(f5(X0),f5(X3)),f5(f8(X1,X2)))
| ~ p10(f5(X0),f3(f5(f8(X1,X2)),f5(X3))) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_22743,plain,
( p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12)))
| ~ p4(f6(c11,f7(c12)),f8(c11,c12)) ),
inference(instantiation,[status(thm)],[c_1213]) ).
tcf(c_23626,plain,
( p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12)))
| ~ p10(f5(c11),f3(f5(f8(c11,c12)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_15848]) ).
tcf(c_31985,plain,
( p10(f5(c11),f3(f5(f8(c11,c12)),f5(c12)))
| ~ p2(f5(c11),f5(c11))
| ~ p10(f5(c11),f3(f5(f6(c11,f7(c12))),f5(f7(c12))))
| ~ p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_6875]) ).
tcf(c_32633,plain,
( p4(f6(c11,f7(c12)),f8(c11,c12))
| ~ p4(f8(c11,c12),f8(c11,c12))
| ~ p4(f8(c11,c12),f6(c11,f7(c12))) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_32642,plain,
p2(f5(f7(c12)),f5(c12)),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_41352,plain,
p10(f5(c11),f3(f5(f6(c11,f7(c12))),f5(f7(c12)))),
inference(instantiation,[status(thm)],[c_3815]) ).
tcf(c_41382,plain,
p4(f8(c11,c12),f8(c11,c12)),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_42141,plain,
( p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12)))
| ~ p2(f5(f7(c12)),f5(c12))
| ~ p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12))) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_52423,plain,
p4(f8(c11,c12),f6(c11,f7(c12))),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_52424,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_52423,c_42141,c_41382,c_41352,c_32642,c_32633,c_31985,c_23626,c_22743,c_77,c_91,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 01:48:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 16.39/3.69 % SZS status Started for theBenchmark.p
% 16.39/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 16.39/3.69
% 16.39/3.69 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.39/3.69
% 16.39/3.69 % ------ iProver source info
% 16.39/3.69
% 16.39/3.69 % git: date: 2026-07-19 20:42:38 +0200
% 16.39/3.69 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.39/3.69 % git: non_committed_changes: false
% 16.39/3.69
% 16.39/3.69 % ------ Parsing...% successful
% 16.39/3.69
% 16.39/3.69
% 16.39/3.69 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.39/3.69
% 16.39/3.69 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 16.39/3.69
% 16.39/3.69 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.39/3.69 % ------ Proving...
% 16.39/3.69 % ------ Problem Properties
% 16.39/3.69
% 16.39/3.69 %
% 16.39/3.69 % clauses 18
% 16.39/3.69 % conjectures 18
% 16.39/3.69 % EPR 5
% 16.39/3.69 % Horn 18
% 16.39/3.69 % unary 7
% 16.39/3.69 % binary 4
% 16.39/3.69 % lits 37
% 16.39/3.69 % lits eq 0
% 16.39/3.69 % fd_pure 0
% 16.39/3.69 % fd_pseudo 0
% 16.39/3.69 % fd_cond 0
% 16.39/3.69 % fd_pseudo_cond 0
% 16.39/3.69 % AC symbols 0
% 16.39/3.69
% 16.39/3.69 % ------ Schedule dynamic 5 is on
% 16.39/3.69
% 16.39/3.69 % ------ no equalities: superposition off
% 16.39/3.69
% 16.39/3.69 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.39/3.69
% 16.39/3.69
% 16.39/3.69 % ------
% 16.39/3.69 % Current options:
% 16.39/3.69 % ------
% 16.39/3.69
% 16.39/3.69
% 16.39/3.69 %
% 16.39/3.69
% 16.39/3.69 % ------ Proving...
% 16.39/3.69 %
% 16.39/3.69
% 16.39/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 16.39/3.69
% 16.39/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.39/3.69
% 16.39/3.69
%------------------------------------------------------------------------------