%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN570-1 : 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 : n008.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 1.82s 6.51s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 26 unt; 3 def)
% Number of atoms : 93 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_7) ).
fof(f8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X0] : p3(f4(f5(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
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(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X3,X0)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| p9(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
tcf(c_70,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_73,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_75,negated_conjecture,
p9(c15,f8(c13)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_76,negated_conjecture,
p2(c12,f5(c15)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_78,negated_conjecture,
~ p9(f4(c12),f8(c13)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(X3,X1)
| ~ p9(X2,X0)
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_236,definition,
iPr_def_10 = f4(c12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_237,definition,
iPr_def_11 = f8(c13),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_238,definition,
iPr_def_12 = f5(c15),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_239,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(X3,X1)
| ~ p9(X2,X0)
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_240,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_241,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_244,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_247,negated_conjecture,
~ p9(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_78,c_237,c_236]) ).
tcf(c_248,negated_conjecture,
! [X0: $i] : p3(f4(f5(X0)),X0),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_249,negated_conjecture,
p2(c12,iPr_def_12),
inference(demodulation,[status(thm)],[c_76,c_238]) ).
tcf(c_250,negated_conjecture,
p9(c15,iPr_def_11),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_251,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_254,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_508,plain,
p3(f4(iPr_def_12),c15),
inference(superposition,[status(thm)],[c_238,c_248]) ).
tcf(c_512,plain,
! [X0: $i] :
( p3(f4(X0),iPr_def_10)
| ~ p2(X0,c12) ),
inference(superposition,[status(thm)],[c_236,c_244]) ).
tcf(c_566,plain,
! [X0: $i] :
( p2(iPr_def_12,X0)
| ~ p2(c12,X0) ),
inference(superposition,[status(thm)],[c_249,c_240]) ).
tcf(c_587,plain,
! [X0: $i] :
( p3(c15,X0)
| ~ p3(f4(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_508,c_241]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i,X2: $i] :
( p9(X1,X2)
| ~ p9(X0,X2)
| ~ p3(X0,X1) ),
inference(superposition,[status(thm)],[c_254,c_239]) ).
tcf(c_645,plain,
p2(iPr_def_12,c12),
inference(superposition,[status(thm)],[c_251,c_566]) ).
tcf(c_708,plain,
( p3(c15,iPr_def_10)
| ~ p2(iPr_def_12,c12) ),
inference(superposition,[status(thm)],[c_512,c_587]) ).
tcf(c_709,plain,
p3(c15,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_708,c_645]) ).
tcf(c_995,plain,
! [X0: $i] :
( p9(iPr_def_10,X0)
| ~ p9(c15,X0) ),
inference(superposition,[status(thm)],[c_709,c_632]) ).
tcf(c_1543,plain,
p9(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_250,c_995]) ).
tcf(c_1544,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1543,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.60 % Computer : n008.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.04/5.60 % CPULimit : 300
% 0.04/5.60 % WCLimit : 300
% 0.04/5.60 % DateTime : Fri Sep 25 01:45:15 UTC 2026
% 0.04/5.60 % CPUTime :
% 0.04/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/5.64 Running first-order theorem proving
% 0.04/5.64 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
% 0.04/5.65
% 0.04/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.04/5.65
% 0.04/5.65 % Detected problem language: tptp
% 0.04/5.66 % Proving...
% 1.82/6.51 % SZS status Started for theBenchmark.p
% 1.82/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 1.82/6.51
% 1.82/6.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.82/6.51
% 1.82/6.51 % ------ iProver source info
% 1.82/6.51
% 1.82/6.51 % git: date: 2026-07-19 20:42:38 +0200
% 1.82/6.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.82/6.51 % git: non_committed_changes: false
% 1.82/6.51
% 1.82/6.51 % ------ Parsing...% successful
% 1.82/6.51
% 1.82/6.51
% 1.82/6.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.82/6.51
% 1.82/6.51 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.82/6.51
% 1.82/6.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.82/6.51
% 1.82/6.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.82/6.51 % ------ Proving...
% 1.82/6.51 % ------ Problem Properties
% 1.82/6.51
% 1.82/6.51 %
% 1.82/6.51 % clauses 19
% 1.82/6.51 % conjectures 16
% 1.82/6.51 % EPR 12
% 1.82/6.51 % Horn 19
% 1.82/6.51 % unary 11
% 1.82/6.51 % binary 3
% 1.82/6.51 % lits 33
% 1.82/6.51 % lits eq 3
% 1.82/6.51 % fd_pure 0
% 1.82/6.51 % fd_pseudo 0
% 1.82/6.51 % fd_cond 0
% 1.82/6.51 % fd_pseudo_cond 0
% 1.82/6.51 % AC symbols 0
% 1.82/6.51
% 1.82/6.51 % ------ Schedule dynamic 5 is on
% 1.82/6.51
% 1.82/6.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.82/6.51
% 1.82/6.51
% 1.82/6.51 % ------
% 1.82/6.51 % Current options:
% 1.82/6.51 % ------
% 1.82/6.51
% 1.82/6.51
% 1.82/6.51 %
% 1.82/6.51
% 1.82/6.51 % ------ Proving...
% 1.82/6.51 %
% 1.82/6.51
% 1.82/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 1.82/6.51
% 1.82/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.82/6.51
% 1.82/6.51
%------------------------------------------------------------------------------