%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN578-1 : 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 : n004.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 03:41:08 PM UTC 2026
% Result : Unsatisfiable 3.12s 6.51s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 26 unt; 2 def)
% Number of atoms : 142 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 66 ~; 65 |; 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 : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X0] : p3(f4(f5(X0)),f4(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f4(c16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p11(X1,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ p9(f8(X1,X0),f4(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
tcf(c_73,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_76,negated_conjecture,
p9(c12,c13),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,negated_conjecture,
p11(c14,c15),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,negated_conjecture,
p2(c16,f5(c14)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( p9(X0,f4(c16))
| ~ p9(X0,c13) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_91,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,[],[f20]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i] :
( p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1))
| ~ p11(X1,c15)
| ~ p9(c12,X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p11(X1,c15)
| ~ p9(c12,X0)
| ~ p9(f8(X0,X1),X0)
| ~ p9(f8(X0,X1),f4(X1)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_267,definition,
iPr_def_10 = f4(c16),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_268,definition,
iPr_def_11 = f5(c14),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_269,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p11(X1,c15)
| ~ p9(c12,X0)
| ~ p9(f8(X0,X1),X0)
| ~ p9(f8(X0,X1),f4(X1)) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_270,negated_conjecture,
! [X0: $i,X1: $i] :
( p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1))
| ~ p11(X1,c15)
| ~ p9(c12,X0) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_272,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_91]) ).
tcf(c_274,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_275,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_278,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_281,negated_conjecture,
! [X0: $i] :
( p9(X0,iPr_def_10)
| ~ p9(X0,c13) ),
inference(demodulation,[status(thm)],[c_82,c_267]) ).
tcf(c_284,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),f4(X0)),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_285,negated_conjecture,
p2(c16,iPr_def_11),
inference(demodulation,[status(thm)],[c_78,c_268]) ).
tcf(c_288,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_289,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_290,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_308,plain,
( p9(c12,iPr_def_10)
| ~ p9(c12,c13) ),
inference(instantiation,[status(thm)],[c_281]) ).
tcf(c_826,plain,
p3(f4(iPr_def_11),f4(c14)),
inference(superposition,[status(thm)],[c_268,c_284]) ).
tcf(c_838,plain,
! [X0: $i] :
( p3(f4(X0),iPr_def_10)
| ~ p2(X0,c16) ),
inference(superposition,[status(thm)],[c_267,c_278]) ).
tcf(c_869,plain,
! [X0: $i] :
( p2(iPr_def_11,X0)
| ~ p2(c16,X0) ),
inference(superposition,[status(thm)],[c_285,c_274]) ).
tcf(c_888,plain,
! [X0: $i] :
( p3(f4(c14),X0)
| ~ p3(f4(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_826,c_275]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i,X2: $i] :
( p9(X2,X1)
| ~ p9(X2,X0)
| ~ p3(X0,X1) ),
inference(superposition,[status(thm)],[c_290,c_272]) ).
tcf(c_1048,plain,
p2(iPr_def_11,c16),
inference(superposition,[status(thm)],[c_288,c_869]) ).
tcf(c_1172,plain,
( p3(f4(c14),iPr_def_10)
| ~ p2(iPr_def_11,c16) ),
inference(superposition,[status(thm)],[c_838,c_888]) ).
tcf(c_1174,plain,
p3(f4(c14),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_1172,c_1048]) ).
tcf(c_1212,plain,
! [X0: $i] :
( p3(iPr_def_10,X0)
| ~ p3(f4(c14),X0) ),
inference(superposition,[status(thm)],[c_1174,c_275]) ).
tcf(c_1240,plain,
p3(iPr_def_10,f4(c14)),
inference(superposition,[status(thm)],[c_289,c_1212]) ).
tcf(c_1669,plain,
! [X0: $i] :
( p9(X0,f4(c14))
| ~ p9(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1240,c_958]) ).
tcf(c_1777,plain,
( p9(c12,f4(c14))
| ~ p9(c12,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_1669]) ).
tcf(c_3730,plain,
! [X0: $i] :
( p9(f8(f4(c14),X0),f4(c14))
| p9(f8(f4(c14),X0),f4(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f4(c14)) ),
inference(instantiation,[status(thm)],[c_270]) ).
tcf(c_3731,plain,
! [X0: $i] :
( ~ p11(X0,c15)
| ~ p9(c12,f4(c14))
| ~ p9(f8(f4(c14),X0),f4(c14))
| ~ p9(f8(f4(c14),X0),f4(X0)) ),
inference(instantiation,[status(thm)],[c_269]) ).
tcf(c_4911,plain,
( p9(f8(f4(c14),c14),f4(c14))
| ~ p11(c14,c15)
| ~ p9(c12,f4(c14)) ),
inference(instantiation,[status(thm)],[c_3730]) ).
tcf(c_4912,plain,
( ~ p11(c14,c15)
| ~ p9(c12,f4(c14))
| ~ p9(f8(f4(c14),c14),f4(c14)) ),
inference(instantiation,[status(thm)],[c_3731]) ).
tcf(c_4913,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4912,c_4911,c_1777,c_308,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.59 % Computer : n004.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Fri Sep 25 01:46:27 UTC 2026
% 0.14/5.60 % CPUTime :
% 0.14/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.64 Running first-order theorem proving
% 0.14/5.64 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
% 0.14/5.65
% 0.14/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.65
% 0.14/5.65 % Detected problem language: tptp
% 0.14/5.66 % Proving...
% 3.12/6.51 % SZS status Started for theBenchmark.p
% 3.12/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/6.51
% 3.12/6.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/6.51
% 3.12/6.51 % ------ iProver source info
% 3.12/6.51
% 3.12/6.51 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/6.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/6.51 % git: non_committed_changes: false
% 3.12/6.51
% 3.12/6.51 % ------ Parsing...% successful
% 3.12/6.51
% 3.12/6.51
% 3.12/6.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/6.51
% 3.12/6.51 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.12/6.51
% 3.12/6.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.12/6.51
% 3.12/6.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.12/6.51 % ------ Proving...
% 3.12/6.51 % ------ Problem Properties
% 3.12/6.51
% 3.12/6.51 %
% 3.12/6.51 % clauses 25
% 3.12/6.51 % conjectures 23
% 3.12/6.51 % EPR 15
% 3.12/6.51 % Horn 24
% 3.12/6.51 % unary 11
% 3.12/6.51 % binary 5
% 3.12/6.51 % lits 52
% 3.12/6.51 % lits eq 2
% 3.12/6.51 % fd_pure 0
% 3.12/6.51 % fd_pseudo 0
% 3.12/6.51 % fd_cond 0
% 3.12/6.51 % fd_pseudo_cond 0
% 3.12/6.51 % AC symbols 0
% 3.12/6.51
% 3.12/6.51 % ------ Schedule dynamic 5 is on
% 3.12/6.51
% 3.12/6.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.12/6.51
% 3.12/6.51
% 3.12/6.51 % ------
% 3.12/6.51 % Current options:
% 3.12/6.51 % ------
% 3.12/6.51
% 3.12/6.51
% 3.12/6.51 %
% 3.12/6.51
% 3.12/6.51 % ------ Proving...
% 3.12/6.51 %
% 3.12/6.51
% 3.12/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/6.51
% 3.12/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/6.51
% 3.12/6.51
%------------------------------------------------------------------------------