%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN691-1 : 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 : 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 03:41:24 PM UTC 2026
% Result : Unsatisfiable 3.71s 6.31s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
! [X0] : p22(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_15) ).
fof(f17,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(f17(f19(f21(c47,X0),X2),X3),X1)
| p39(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p22(X3,X1)
| ~ p4(X2,X0)
| ~ p39(X2,X3)
| p39(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_45) ).
fof(f46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_46) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
fof(f63,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| p39(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_63) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(X0,X3)
| p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_64) ).
fof(f67,negated_conjecture,
! [X2,X0,X1] : p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_67) ).
tcf(c_130,negated_conjecture,
! [X0: $i] : p22(X0,X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_132,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f17]) ).
tcf(c_158,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(cnf_transformation,[],[f43]) ).
tcf(c_159,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p39(X0,X3)
| ~ p39(f17(f19(f21(c47,X0),X1),X2),X3) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_160,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p39(X1,X3)
| ~ p39(X0,X2)
| ~ p22(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_161,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
inference(cnf_transformation,[],[f46]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_178,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p39(X0,X3)
| ~ p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_179,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| ~ p39(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))),
inference(cnf_transformation,[],[f67]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i] :
( p39(X0,X1)
| ~ p22(c46,X1)
| ~ p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0) ),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_795,plain,
! [X0: $i] :
( p39(X0,c46)
| ~ p22(c46,c46)
| ~ p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_796,plain,
p22(c46,c46),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i] :
( p39(X0,c46)
| ~ p39(f17(f19(f21(c47,X0),X1),X2),c46) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i] :
( p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),c46)
| ~ p22(c46,c46)
| ~ p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),f5(c40,f10(f13(f15(c42,X0),X1),X2))) ),
inference(instantiation,[status(thm)],[c_795]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i] :
( p39(X0,c46)
| ~ p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),c46) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i] :
( p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),f5(X1,X0))
| ~ p2(c40,X1)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_861,plain,
p2(c40,c40),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_917,plain,
! [X0: $i] :
( p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),f5(c40,X0))
| ~ p2(c40,c40)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X0) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_1096,plain,
( p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))))
| ~ p2(c40,c40)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))) ),
inference(instantiation,[status(thm)],[c_917]) ).
tcf(c_1097,plain,
p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_1156,plain,
( p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46)
| ~ p22(c46,c46)
| ~ p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45)))) ),
inference(instantiation,[status(thm)],[c_808]) ).
tcf(c_1624,plain,
( p39(f17(f19(f21(c47,c43),c44),c45),c46)
| ~ p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46) ),
inference(instantiation,[status(thm)],[c_809]) ).
tcf(c_2416,plain,
( p39(c43,c46)
| ~ p39(f17(f19(f21(c47,c43),c44),c45),c46) ),
inference(instantiation,[status(thm)],[c_803]) ).
tcf(c_3046,plain,
~ p39(c43,c46),
inference(superposition,[status(thm)],[c_179,c_158]) ).
tcf(c_3048,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3046,c_2416,c_1624,c_1156,c_1097,c_1096,c_861,c_796,c_161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n019.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 02:05:57 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 3.71/6.31 % SZS status Started for theBenchmark.p
% 3.71/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/6.31
% 3.71/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.71/6.31
% 3.71/6.31 % ------ iProver source info
% 3.71/6.31
% 3.71/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.71/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.71/6.31 % git: non_committed_changes: false
% 3.71/6.31
% 3.71/6.31 % ------ Parsing...% successful
% 3.71/6.31
% 3.71/6.31
% 3.71/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.71/6.31
% 3.71/6.31 % ------ Preprocessing... sf_s rm: 8 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.71/6.31
% 3.71/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.71/6.31 % ------ Proving...
% 3.71/6.31 % ------ Problem Properties
% 3.71/6.31
% 3.71/6.31 %
% 3.71/6.31 % clauses 59
% 3.71/6.31 % conjectures 59
% 3.71/6.31 % EPR 39
% 3.71/6.31 % Horn 59
% 3.71/6.31 % unary 22
% 3.71/6.31 % binary 3
% 3.71/6.31 % lits 131
% 3.71/6.31 % lits eq 0
% 3.71/6.31 % fd_pure 0
% 3.71/6.31 % fd_pseudo 0
% 3.71/6.31 % fd_cond 0
% 3.71/6.31 % fd_pseudo_cond 0
% 3.71/6.31 % AC symbols 0
% 3.71/6.31
% 3.71/6.31 % ------ Schedule dynamic 5 is on
% 3.71/6.31
% 3.71/6.31 % ------ no equalities: superposition off
% 3.71/6.31
% 3.71/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.71/6.31
% 3.71/6.31
% 3.71/6.31 % ------
% 3.71/6.31 % Current options:
% 3.71/6.31 % ------
% 3.71/6.31
% 3.71/6.31
% 3.71/6.31 %
% 3.71/6.31
% 3.71/6.31 % ------ Proving...
% 3.71/6.31 %
% 3.71/6.31
% 3.71/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/6.31
% 3.71/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/6.31
% 3.71/6.31
%------------------------------------------------------------------------------