%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN581-1 : 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 : n014.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 3.57s 1.30s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f5,negated_conjecture,
p2(c18,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
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(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
tcf(c_75,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] : p5(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,negated_conjecture,
p2(c18,c14),
inference(cnf_transformation,[],[f5]) ).
tcf(c_81,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
inference(cnf_transformation,[],[f9]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p11(X1,X3)
| ~ p11(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X2,X0),f6(X3,X1))
| ~ p5(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_99,plain,
p5(c15,c15),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] :
( p11(f4(f6(c15,c18)),c16)
| ~ p2(X1,c16)
| ~ p11(X0,X1)
| ~ p2(X0,f4(f6(c15,c18))) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_335,plain,
! [X0: $i] :
( p11(f4(f6(c15,c18)),c16)
| ~ p2(c16,c16)
| ~ p11(X0,c16)
| ~ p2(X0,f4(f6(c15,c18))) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_336,plain,
p2(c16,c16),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_357,plain,
! [X0: $i] :
( p11(f4(f6(c15,c18)),c16)
| ~ p2(c16,c16)
| ~ p11(f4(X0),c16)
| ~ p2(f4(X0),f4(f6(c15,c18))) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_386,plain,
( p11(f4(f6(c15,c18)),c16)
| ~ p2(c16,c16)
| ~ p11(f4(f6(c15,c14)),c16)
| ~ p2(f4(f6(c15,c14)),f4(f6(c15,c18))) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i] :
( p2(f6(X1,X0),f6(c15,c18))
| ~ p5(X1,c15)
| ~ p2(X0,c18) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] :
( p2(X1,c18)
| ~ p2(X0,c18)
| ~ p2(X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_499,plain,
p2(c18,c18),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_660,plain,
! [X0: $i] :
( p2(X0,c18)
| ~ p2(c18,c18)
| ~ p2(c18,X0) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_866,plain,
! [X0: $i] :
( p2(f4(f6(c15,c14)),f4(X0))
| ~ p2(f6(c15,c14),X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_1032,plain,
( p2(f4(f6(c15,c14)),f4(f6(c15,c18)))
| ~ p2(f6(c15,c14),f6(c15,c18)) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_1395,plain,
( p2(c14,c18)
| ~ p2(c18,c14)
| ~ p2(c18,c18) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_1470,plain,
! [X0: $i] :
( p2(f6(X0,c14),f6(c15,c18))
| ~ p2(c14,c18)
| ~ p5(X0,c15) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_1473,plain,
( p2(f6(c15,c14),f6(c15,c18))
| ~ p5(c15,c15)
| ~ p2(c14,c18) ),
inference(instantiation,[status(thm)],[c_1470]) ).
tcf(c_1474,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1473,c_1395,c_1032,c_499,c_386,c_336,c_82,c_81,c_99,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN581-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n014.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 01:48:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 3.57/1.30 % SZS status Started for theBenchmark.p
% 3.57/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.30
% 3.57/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.57/1.30
% 3.57/1.30 % ------ iProver source info
% 3.57/1.30
% 3.57/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.57/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.57/1.30 % git: non_committed_changes: false
% 3.57/1.30
% 3.57/1.30 % ------ Parsing...% successful
% 3.57/1.30
% 3.57/1.30
% 3.57/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.57/1.30
% 3.57/1.30 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.57/1.30
% 3.57/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.57/1.30 % ------ Proving...
% 3.57/1.30 % ------ Problem Properties
% 3.57/1.30
% 3.57/1.30 %
% 3.57/1.30 % clauses 23
% 3.57/1.30 % conjectures 23
% 3.57/1.30 % EPR 13
% 3.57/1.30 % Horn 22
% 3.57/1.30 % unary 9
% 3.57/1.30 % binary 6
% 3.57/1.30 % lits 48
% 3.57/1.30 % lits eq 0
% 3.57/1.30 % fd_pure 0
% 3.57/1.30 % fd_pseudo 0
% 3.57/1.30 % fd_cond 0
% 3.57/1.30 % fd_pseudo_cond 0
% 3.57/1.30 % AC symbols 0
% 3.57/1.30
% 3.57/1.30 % ------ Schedule dynamic 5 is on
% 3.57/1.30
% 3.57/1.30 % ------ no equalities: superposition off
% 3.57/1.30
% 3.57/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.30
% 3.57/1.30
% 3.57/1.30 % ------
% 3.57/1.30 % Current options:
% 3.57/1.30 % ------
% 3.57/1.30
% 3.57/1.30
% 3.57/1.30 %
% 3.57/1.30
% 3.57/1.30 % ------ Proving...
% 3.57/1.30 %
% 3.57/1.30
% 3.57/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.30
% 3.57/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.30
% 3.57/1.30
%------------------------------------------------------------------------------