%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN574-1 : 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 : n007.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 2.65s 1.28s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 23 unt; 1 def)
% Number of atoms : 169 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 186 ( 93 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 8 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
! [X0] : p3(f4(f5(X0)),f4(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ p9(X0,f4(c14))
| p9(X0,c13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f4(c14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X1,f5(X2))
| ~ p9(c12,X0)
| ~ p11(X2,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p9(f8(X1,X2),f4(X2))
| ~ p9(f8(X1,X2),X1)
| ~ p2(X2,f5(X0))
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_22) ).
tcf(c_72,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_73,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_75,negated_conjecture,
p9(c12,c13),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,negated_conjecture,
p11(c14,c15),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] :
( p9(X0,c13)
| ~ p9(X0,f4(c14)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( p9(X0,f4(c14))
| ~ p9(X0,c13) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(X1,X3)
| ~ p9(X0,X2)
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p9(f8(X2,X0),X2)
| p9(f8(X2,X0),f4(X0))
| ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p2(X0,f5(X1)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p11(X2,c15)
| ~ p9(c12,X0)
| ~ p2(X1,f5(X2))
| ~ p9(f8(X0,X1),X0)
| ~ p9(f8(X0,X1),f4(X1)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_270,definition,
iPr_def_10 = f4(c14),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_271,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p11(X2,c15)
| ~ p9(c12,X0)
| ~ p2(X1,f5(X2))
| ~ p9(f8(X0,X1),X0)
| ~ p9(f8(X0,X1),f4(X1)) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_272,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p9(f8(X2,X0),X2)
| p9(f8(X2,X0),f4(X0))
| ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p2(X0,f5(X1)) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_274,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(X1,X3)
| ~ p9(X0,X2)
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_277,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_283,negated_conjecture,
! [X0: $i] :
( p9(X0,iPr_def_10)
| ~ p9(X0,c13) ),
inference(demodulation,[status(thm)],[c_80,c_270]) ).
tcf(c_284,negated_conjecture,
! [X0: $i] :
( p9(X0,c13)
| ~ p9(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_286,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),f4(X0)),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_289,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_290,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_291,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_810,plain,
p3(f4(f5(c14)),iPr_def_10),
inference(superposition,[status(thm)],[c_270,c_286]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i] :
( p3(f4(X0),X1)
| ~ p3(f4(f5(X0)),X1) ),
inference(superposition,[status(thm)],[c_286,c_277]) ).
tcf(c_953,plain,
! [X0: $i] : p3(f4(X0),f4(f5(X0))),
inference(superposition,[status(thm)],[c_290,c_864]) ).
tcf(c_1005,plain,
p3(iPr_def_10,f4(f5(c14))),
inference(superposition,[status(thm)],[c_270,c_953]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i] :
( p9(X1,X2)
| ~ p9(X0,iPr_def_10)
| ~ p3(iPr_def_10,X2)
| ~ p7(X0,X1) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ~ p9(c12,c13)
| ~ p11(X1,c15)
| ~ p2(X0,f5(X1))
| ~ p9(f8(c13,X0),c13)
| ~ p9(f8(c13,X0),f4(X0)) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i] :
( p9(f8(c13,X0),c13)
| p9(f8(c13,X0),f4(X0))
| ~ p9(c12,c13)
| ~ p11(X1,c15)
| ~ p2(X0,f5(X1)) ),
inference(instantiation,[status(thm)],[c_272]) ).
tcf(c_1343,plain,
! [X0: $i] :
( ~ p11(c14,c15)
| ~ p9(c12,c13)
| ~ p2(X0,f5(c14))
| ~ p9(f8(c13,X0),c13)
| ~ p9(f8(c13,X0),f4(X0)) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1379,plain,
! [X0: $i] :
( p9(f8(c13,X0),c13)
| p9(f8(c13,X0),f4(X0))
| ~ p11(c14,c15)
| ~ p9(c12,c13)
| ~ p2(X0,f5(c14)) ),
inference(instantiation,[status(thm)],[c_1113]) ).
tcf(c_1645,plain,
( ~ p11(c14,c15)
| ~ p9(c12,c13)
| ~ p2(f5(c14),f5(c14))
| ~ p9(f8(c13,f5(c14)),c13)
| ~ p9(f8(c13,f5(c14)),f4(f5(c14))) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1646,plain,
p2(f5(c14),f5(c14)),
inference(instantiation,[status(thm)],[c_289]) ).
tcf(c_1902,plain,
( p9(f8(c13,f5(c14)),c13)
| ~ p9(f8(c13,f5(c14)),iPr_def_10) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_1944,plain,
( p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f4(f5(c14)))
| ~ p11(c14,c15)
| ~ p9(c12,c13)
| ~ p2(f5(c14),f5(c14)) ),
inference(instantiation,[status(thm)],[c_1379]) ).
tcf(c_2417,plain,
( p9(f8(c13,f5(c14)),iPr_def_10)
| ~ p9(f8(c13,f5(c14)),c13) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_2597,plain,
! [X0: $i,X1: $i] :
( p9(X0,X1)
| ~ p3(f4(f5(c14)),X1)
| ~ p7(f8(c13,f5(c14)),X0)
| ~ p9(f8(c13,f5(c14)),f4(f5(c14))) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_3423,plain,
p7(f8(c13,f5(c14)),f8(c13,f5(c14))),
inference(instantiation,[status(thm)],[c_291]) ).
tcf(c_5776,plain,
! [X0: $i] :
( p9(X0,iPr_def_10)
| ~ p3(f4(f5(c14)),iPr_def_10)
| ~ p7(f8(c13,f5(c14)),X0)
| ~ p9(f8(c13,f5(c14)),f4(f5(c14))) ),
inference(instantiation,[status(thm)],[c_2597]) ).
tcf(c_6773,plain,
! [X0: $i,X1: $i] :
( p9(X1,f4(f5(c14)))
| ~ p9(X0,iPr_def_10)
| ~ p7(X0,X1)
| ~ p3(iPr_def_10,f4(f5(c14))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_7105,plain,
( p9(f8(c13,f5(c14)),iPr_def_10)
| ~ p3(f4(f5(c14)),iPr_def_10)
| ~ p9(f8(c13,f5(c14)),f4(f5(c14)))
| ~ p7(f8(c13,f5(c14)),f8(c13,f5(c14))) ),
inference(instantiation,[status(thm)],[c_5776]) ).
tcf(c_9120,plain,
! [X0: $i] :
( p9(f8(c13,f5(c14)),f4(f5(c14)))
| ~ p9(X0,iPr_def_10)
| ~ p3(iPr_def_10,f4(f5(c14)))
| ~ p7(X0,f8(c13,f5(c14))) ),
inference(instantiation,[status(thm)],[c_6773]) ).
tcf(c_10624,plain,
( p9(f8(c13,f5(c14)),f4(f5(c14)))
| ~ p3(iPr_def_10,f4(f5(c14)))
| ~ p9(f8(c13,f5(c14)),iPr_def_10)
| ~ p7(f8(c13,f5(c14)),f8(c13,f5(c14))) ),
inference(instantiation,[status(thm)],[c_9120]) ).
tcf(c_10625,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10624,c_7105,c_3423,c_2417,c_1944,c_1902,c_1646,c_1645,c_1005,c_810,c_75,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:45:08 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 2.65/1.28 % SZS status Started for theBenchmark.p
% 2.65/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/1.28
% 2.65/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.65/1.28
% 2.65/1.28 % ------ iProver source info
% 2.65/1.28
% 2.65/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.65/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.65/1.28 % git: non_committed_changes: false
% 2.65/1.28
% 2.65/1.28 % ------ Parsing...% successful
% 2.65/1.28
% 2.65/1.28
% 2.65/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.65/1.28
% 2.65/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.65/1.28
% 2.65/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.65/1.28
% 2.65/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.65/1.28 % ------ Proving...
% 2.65/1.28 % ------ Problem Properties
% 2.65/1.28
% 2.65/1.28 %
% 2.65/1.28 % clauses 23
% 2.65/1.28 % conjectures 22
% 2.65/1.28 % EPR 14
% 2.65/1.28 % Horn 22
% 2.65/1.28 % unary 9
% 2.65/1.28 % binary 5
% 2.65/1.28 % lits 52
% 2.65/1.28 % lits eq 1
% 2.65/1.28 % fd_pure 0
% 2.65/1.28 % fd_pseudo 0
% 2.65/1.28 % fd_cond 0
% 2.65/1.28 % fd_pseudo_cond 0
% 2.65/1.28 % AC symbols 0
% 2.65/1.28
% 2.65/1.28 % ------ Schedule dynamic 5 is on
% 2.65/1.28
% 2.65/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.65/1.28
% 2.65/1.28
% 2.65/1.28 % ------
% 2.65/1.28 % Current options:
% 2.65/1.28 % ------
% 2.65/1.28
% 2.65/1.28
% 2.65/1.28 %
% 2.65/1.28
% 2.65/1.28 % ------ Proving...
% 2.65/1.28 %
% 2.65/1.28
% 2.65/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/1.28
% 2.65/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.65/1.28
% 2.65/1.28
%------------------------------------------------------------------------------