%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN580-1 : 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 : 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 03:41:08 PM UTC 2026
% Result : Unsatisfiable 2.84s 1.28s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 58 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_8) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p11(X1,c16)
| p8(c12,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p9(c12,X1)
| p8(c12,X1,f3(X0))
| p9(c12,f6(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p8(c12,f6(X1),X1)
| ~ p9(c12,X0)
| p8(c12,X0,f3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p8(X5,X4,X3)
| ~ p7(X5,X0)
| ~ p4(X4,X1)
| ~ p2(X3,X2)
| p8(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_23) ).
tcf(c_73,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : p4(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,
p11(c15,c16),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,negated_conjecture,
p9(c12,c13),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,negated_conjecture,
p2(c14,f3(c15)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,negated_conjecture,
~ p8(c12,c13,c14),
inference(cnf_transformation,[],[f8]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( p8(c12,X1,X0)
| ~ p9(c12,X1)
| ~ p11(X0,c16) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i] :
( p9(c12,f6(X1))
| p8(c12,X0,f3(X1))
| ~ p9(c12,X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i] :
( p8(c12,X1,f3(X0))
| ~ p9(c12,X1)
| ~ p8(c12,f6(X0),X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p8(X3,X4,X5)
| ~ p2(X2,X5)
| ~ p4(X1,X4)
| ~ p7(X0,X3)
| ~ p8(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_97,plain,
p7(c12,c12),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_215,plain,
! [X0: $i] :
( p8(c12,X0,c15)
| ~ p11(c15,c16)
| ~ p9(c12,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_219,plain,
! [X0: $i] :
( p9(c12,f6(X0))
| p8(c12,c13,f3(X0))
| ~ p9(c12,c13) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_223,plain,
! [X0: $i] :
( p8(c12,c13,f3(X0))
| ~ p9(c12,c13)
| ~ p8(c12,f6(X0),X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(X2,X3,X1)
| ~ p4(c13,X3)
| ~ p7(c12,X2)
| ~ p2(X0,X1)
| ~ p8(c12,c13,X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_239,plain,
p4(c13,c13),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] :
( p8(X2,c13,X1)
| ~ p4(c13,c13)
| ~ p7(c12,X2)
| ~ p2(X0,X1)
| ~ p8(c12,c13,X0) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_301,plain,
! [X0: $i] :
( p8(c12,f6(X0),c15)
| ~ p11(c15,c16)
| ~ p9(c12,f6(X0)) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_428,plain,
! [X0: $i] :
( p8(c12,c13,c14)
| ~ p4(c13,c13)
| ~ p7(c12,c12)
| ~ p2(X0,c14)
| ~ p8(c12,c13,X0) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( p2(X1,c14)
| ~ p2(X0,c14)
| ~ p2(X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_651,plain,
! [X0: $i] :
( p2(X0,c14)
| ~ p2(c14,c14)
| ~ p2(c14,X0) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_652,plain,
p2(c14,c14),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_756,plain,
( p8(c12,f6(c15),c15)
| ~ p11(c15,c16)
| ~ p9(c12,f6(c15)) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_759,plain,
( p8(c12,c13,f3(c15))
| ~ p9(c12,c13)
| ~ p8(c12,f6(c15),c15) ),
inference(instantiation,[status(thm)],[c_223]) ).
tcf(c_998,plain,
( p2(f3(c15),c14)
| ~ p2(c14,c14)
| ~ p2(c14,f3(c15)) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1255,plain,
( p8(c12,c13,c14)
| ~ p4(c13,c13)
| ~ p7(c12,c12)
| ~ p2(f3(c15),c14)
| ~ p8(c12,c13,f3(c15)) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_1859,plain,
( p9(c12,f6(c15))
| p8(c12,c13,f3(c15))
| ~ p9(c12,c13) ),
inference(instantiation,[status(thm)],[c_219]) ).
tcf(c_1860,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1859,c_1255,c_998,c_759,c_756,c_652,c_239,c_79,c_78,c_97,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:46:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.84/1.28 % SZS status Started for theBenchmark.p
% 2.84/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.84/1.28
% 2.84/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.84/1.28
% 2.84/1.28 % ------ iProver source info
% 2.84/1.28
% 2.84/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.84/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.84/1.28 % git: non_committed_changes: false
% 2.84/1.28
% 2.84/1.28 % ------ Parsing...% successful
% 2.84/1.28
% 2.84/1.28
% 2.84/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.84/1.28
% 2.84/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.84/1.28
% 2.84/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.84/1.28 % ------ Proving...
% 2.84/1.28 % ------ Problem Properties
% 2.84/1.28
% 2.84/1.28 %
% 2.84/1.28 % clauses 23
% 2.84/1.28 % conjectures 23
% 2.84/1.28 % EPR 15
% 2.84/1.28 % Horn 21
% 2.84/1.28 % unary 8
% 2.84/1.28 % binary 3
% 2.84/1.28 % lits 54
% 2.84/1.28 % lits eq 0
% 2.84/1.28 % fd_pure 0
% 2.84/1.28 % fd_pseudo 0
% 2.84/1.28 % fd_cond 0
% 2.84/1.28 % fd_pseudo_cond 0
% 2.84/1.28 % AC symbols 0
% 2.84/1.28
% 2.84/1.28 % ------ Schedule dynamic 5 is on
% 2.84/1.28
% 2.84/1.28 % ------ no equalities: superposition off
% 2.84/1.28
% 2.84/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.84/1.28
% 2.84/1.28
% 2.84/1.28 % ------
% 2.84/1.28 % Current options:
% 2.84/1.28 % ------
% 2.84/1.28
% 2.84/1.28
% 2.84/1.28 %
% 2.84/1.28
% 2.84/1.28 % ------ Proving...
% 2.84/1.28 %
% 2.84/1.28
% 2.84/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.84/1.28
% 2.84/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.84/1.28
% 2.84/1.28
%------------------------------------------------------------------------------