%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN569-1 : 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 : 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 03:41:07 PM UTC 2026
% Result : Unsatisfiable 1.97s 1.28s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 111 ( 57 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
fof(f5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).
fof(f6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p8(X0,X1)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X1,X3)
| ~ p9(X2,X0,X3)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X0] :
( ~ p10(c11,X0)
| ~ p10(X0,c12)
| p9(c13,f3(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).
fof(f15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_71,negated_conjecture,
p8(c14,c12),
inference(cnf_transformation,[],[f3]) ).
tcf(c_73,negated_conjecture,
p8(c11,c14),
inference(cnf_transformation,[],[f5]) ).
tcf(c_74,negated_conjecture,
p9(c13,c15,c14),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i] :
( p10(X0,X1)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X1,X3)
| ~ p9(X0,X3,X2)
| ~ p9(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( p9(c13,f3(X0),X0)
| ~ p10(c11,X0)
| ~ p10(X0,c12) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_83,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(cnf_transformation,[],[f15]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f4(X0,X2),f4(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] :
( ~ p8(c11,X0)
| ~ p8(X0,c12)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0))) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_195,plain,
( ~ p8(c11,c14)
| ~ p8(c14,c12)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_196,plain,
( p10(c14,c12)
| ~ p8(c14,c12) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_198,plain,
( p10(c11,c14)
| ~ p8(c11,c14) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_207,plain,
! [X0: $i] :
( p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14)))
| ~ p2(X0,f4(f5(c12,c11),f3(c14)))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_216,plain,
( p9(c13,f3(c14),c14)
| ~ p10(c11,c14)
| ~ p10(c14,c12) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_247,plain,
( p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14)))
| ~ p2(f4(f5(c12,c11),f3(c14)),f4(f5(c12,c11),f3(c14)))
| ~ p2(f4(f5(c12,c11),f3(c14)),f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_248,plain,
p2(f4(f5(c12,c11),f3(c14)),f4(f5(c12,c11),f3(c14))),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( p2(f4(X0,X1),f4(f5(c12,c11),f3(c14)))
| ~ p2(X1,f3(c14))
| ~ p2(X0,f5(c12,c11)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_290,plain,
! [X0: $i] :
( p2(f4(f5(c12,c11),f3(c14)),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(c14)))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(c15,X1)
| ~ p9(X0,c15,X2)
| ~ p9(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_429,plain,
! [X0: $i] :
( p2(c15,X0)
| ~ p9(c13,c15,c14)
| ~ p9(c13,X0,c14) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_479,plain,
( p2(c15,f3(c14))
| ~ p9(c13,c15,c14)
| ~ p9(c13,f3(c14),c14) ),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_563,plain,
p2(f5(c12,c11),f5(c12,c11)),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_735,plain,
! [X0: $i] :
( p2(f4(X0,c15),f4(f5(c12,c11),f3(c14)))
| ~ p2(c15,f3(c14))
| ~ p2(X0,f5(c12,c11)) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_890,plain,
( p2(f4(f5(c12,c11),c15),f4(f5(c12,c11),f3(c14)))
| ~ p2(c15,f3(c14))
| ~ p2(f5(c12,c11),f5(c12,c11)) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_1023,plain,
( p2(f4(f5(c12,c11),f3(c14)),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(f4(f5(c12,c11),c15),f4(f5(c12,c11),f3(c14)))
| ~ p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_290]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i] : p2(f5(X0,X1),f5(X0,X1)),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1436,plain,
! [X0: $i,X1: $i] :
( p2(f4(f5(c12,X1),c15),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,X1),c15))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_1770,plain,
! [X0: $i] :
( p2(f4(f5(c12,X0),c15),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,X0),c15))
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_1436]) ).
tcf(c_1771,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f5(f7(c13,c12),f7(c13,c11))),
inference(instantiation,[status(thm)],[c_1307]) ).
tcf(c_1772,plain,
( p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15))
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f5(f7(c13,c12),f7(c13,c11))) ),
inference(instantiation,[status(thm)],[c_1770]) ).
tcf(c_1773,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1771,c_1772,c_1023,c_890,c_563,c_479,c_248,c_247,c_216,c_198,c_196,c_195,c_83,c_74,c_71,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n015.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Fri Sep 25 01:47:43 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 1.97/1.28 % SZS status Started for theBenchmark.p
% 1.97/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/1.28
% 1.97/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.97/1.28
% 1.97/1.28 % ------ iProver source info
% 1.97/1.28
% 1.97/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.97/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.97/1.28 % git: non_committed_changes: false
% 1.97/1.28
% 1.97/1.28 % ------ Parsing...% successful
% 1.97/1.28
% 1.97/1.28
% 1.97/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.97/1.28
% 1.97/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.97/1.28
% 1.97/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.97/1.28 % ------ Proving...
% 1.97/1.28 % ------ Problem Properties
% 1.97/1.28
% 1.97/1.28 %
% 1.97/1.28 % clauses 20
% 1.97/1.28 % conjectures 20
% 1.97/1.28 % EPR 13
% 1.97/1.28 % Horn 20
% 1.97/1.28 % unary 7
% 1.97/1.28 % binary 2
% 1.97/1.28 % lits 48
% 1.97/1.28 % lits eq 0
% 1.97/1.28 % fd_pure 0
% 1.97/1.28 % fd_pseudo 0
% 1.97/1.28 % fd_cond 0
% 1.97/1.28 % fd_pseudo_cond 0
% 1.97/1.28 % AC symbols 0
% 1.97/1.28
% 1.97/1.28 % ------ Schedule dynamic 5 is on
% 1.97/1.28
% 1.97/1.28 % ------ no equalities: superposition off
% 1.97/1.28
% 1.97/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.97/1.28
% 1.97/1.28
% 1.97/1.28 % ------
% 1.97/1.28 % Current options:
% 1.97/1.28 % ------
% 1.97/1.28
% 1.97/1.28
% 1.97/1.28 %
% 1.97/1.28
% 1.97/1.28 % ------ Proving...
% 1.97/1.28 %
% 1.97/1.28
% 1.97/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/1.28
% 1.97/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.97/1.28
% 1.97/1.28
%------------------------------------------------------------------------------