%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN592-1 : 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 : n019.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 03:41:10 PM UTC 2026
% Result : Unsatisfiable 3.23s 1.32s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 53 ~; 52 |; 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
fof(f12,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_13) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X3,X2)
| ~ p7(X3,X0)
| ~ p3(X2,X1)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).
fof(f27,negated_conjecture,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(f6(X0),c17))
| p11(c13,f4(c17,f6(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_27) ).
tcf(c_78,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
p12(c14,f4(c18,c17)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_87,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_88,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,negated_conjecture,
! [X0: $i] :
( p2(f6(X0),f5(X0))
| ~ p12(c14,f4(X0,c17)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p11(X1,X3)
| ~ p11(X0,X2)
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f4(X0,X2),f4(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_102,negated_conjecture,
! [X0: $i] :
( p11(c13,f4(c17,f6(X0)))
| p11(c13,f4(f6(X0),c17))
| ~ p12(c14,f4(X0,c17)) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,plain,
p7(c13,c13),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_316,plain,
( p2(f6(c18),f5(c18))
| ~ p12(c14,f4(c18,c17)) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_317,plain,
( p11(c13,f4(c17,f6(c18)))
| p11(c13,f4(f6(c18),c17))
| ~ p12(c14,f4(c18,c17)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_346,plain,
p2(c17,c17),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( p3(f4(f6(c18),c17),f4(X0,X1))
| ~ p2(c17,X1)
| ~ p2(f6(c18),X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i] :
( p11(X2,X0)
| ~ p7(X1,X2)
| ~ p11(X1,f4(f6(c18),c17))
| ~ p3(f4(f6(c18),c17),X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_441,plain,
! [X0: $i] :
( p3(f4(f6(c18),c17),f4(X0,c17))
| ~ p2(c17,c17)
| ~ p2(f6(c18),X0) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_584,plain,
( p3(f4(f6(c18),c17),f4(f5(c18),c17))
| ~ p2(c17,c17)
| ~ p2(f6(c18),f5(c18)) ),
inference(instantiation,[status(thm)],[c_441]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( p11(X1,f4(f5(c18),c17))
| ~ p7(X0,X1)
| ~ p11(X0,f4(f6(c18),c17))
| ~ p3(f4(f6(c18),c17),f4(f5(c18),c17)) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_989,plain,
( p11(c13,f4(f5(c18),c17))
| ~ p7(c13,c13)
| ~ p11(c13,f4(f6(c18),c17))
| ~ p3(f4(f6(c18),c17),f4(f5(c18),c17)) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_1340,plain,
! [X0: $i,X1: $i] :
( p11(X1,X0)
| ~ p7(c13,X1)
| ~ p11(c13,f4(c17,f6(c18)))
| ~ p3(f4(c17,f6(c18)),X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1417,plain,
! [X0: $i,X1: $i,X2: $i] :
( p11(X2,f4(X0,X1))
| ~ p7(c13,X2)
| ~ p11(c13,f4(c17,f6(c18)))
| ~ p3(f4(c17,f6(c18)),f4(X0,X1)) ),
inference(instantiation,[status(thm)],[c_1340]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( p3(f4(c17,f6(c18)),f4(X1,X0))
| ~ p2(c17,X1)
| ~ p2(f6(c18),X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1531,plain,
! [X0: $i] :
( p3(f4(c17,f6(c18)),f4(c17,X0))
| ~ p2(c17,c17)
| ~ p2(f6(c18),X0) ),
inference(instantiation,[status(thm)],[c_1418]) ).
tcf(c_1773,plain,
( p3(f4(c17,f6(c18)),f4(c17,f5(c18)))
| ~ p2(c17,c17)
| ~ p2(f6(c18),f5(c18)) ),
inference(instantiation,[status(thm)],[c_1531]) ).
tcf(c_2114,plain,
! [X0: $i] :
( p11(X0,f4(c17,f5(c18)))
| ~ p7(c13,X0)
| ~ p11(c13,f4(c17,f6(c18)))
| ~ p3(f4(c17,f6(c18)),f4(c17,f5(c18))) ),
inference(instantiation,[status(thm)],[c_1417]) ).
tcf(c_2115,plain,
( p11(c13,f4(c17,f5(c18)))
| ~ p7(c13,c13)
| ~ p11(c13,f4(c17,f6(c18)))
| ~ p3(f4(c17,f6(c18)),f4(c17,f5(c18))) ),
inference(instantiation,[status(thm)],[c_2114]) ).
tcf(c_2116,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2115,c_1773,c_989,c_584,c_346,c_317,c_316,c_87,c_88,c_86,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 01:49:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.23/1.32 % SZS status Started for theBenchmark.p
% 3.23/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.32
% 3.23/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.23/1.32
% 3.23/1.32 % ------ iProver source info
% 3.23/1.32
% 3.23/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.23/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.23/1.32 % git: non_committed_changes: false
% 3.23/1.32
% 3.23/1.32 % ------ Parsing...% successful
% 3.23/1.32
% 3.23/1.32
% 3.23/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.23/1.32
% 3.23/1.32 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.23/1.32
% 3.23/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.23/1.32 % ------ Proving...
% 3.23/1.32 % ------ Problem Properties
% 3.23/1.32
% 3.23/1.32 %
% 3.23/1.32 % clauses 23
% 3.23/1.32 % conjectures 23
% 3.23/1.32 % EPR 14
% 3.23/1.32 % Horn 22
% 3.23/1.32 % unary 11
% 3.23/1.32 % binary 4
% 3.23/1.32 % lits 46
% 3.23/1.32 % lits eq 0
% 3.23/1.32 % fd_pure 0
% 3.23/1.32 % fd_pseudo 0
% 3.23/1.32 % fd_cond 0
% 3.23/1.32 % fd_pseudo_cond 0
% 3.23/1.32 % AC symbols 0
% 3.23/1.32
% 3.23/1.32 % ------ Schedule dynamic 5 is on
% 3.23/1.32
% 3.23/1.32 % ------ no equalities: superposition off
% 3.23/1.32
% 3.23/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.23/1.32
% 3.23/1.32
% 3.23/1.32 % ------
% 3.23/1.32 % Current options:
% 3.23/1.32 % ------
% 3.23/1.32
% 3.23/1.32
% 3.23/1.32 %
% 3.23/1.32
% 3.23/1.32 % ------ Proving...
% 3.23/1.32 %
% 3.23/1.32
% 3.23/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.32
% 3.23/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.23/1.32
% 3.23/1.32
%------------------------------------------------------------------------------