%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 03:41:06 PM UTC 2026
% Result : Unsatisfiable 3.13s 6.33s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 62 ~; 56 |; 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 : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
fof(f5,negated_conjecture,
p10(c15,c11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
fof(f6,negated_conjecture,
p8(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_6) ).
fof(f7,negated_conjecture,
p2(c14,f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
p3(c13,f4(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ p8(X0,f4(f6(X1)))
| p8(X0,f4(f5(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X3,X1)
| ~ p8(X2,X3)
| ~ p7(X2,X0)
| p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,f5(X0))
| ~ p3(X1,f4(X2))
| ~ p8(c12,X1)
| ~ p10(X0,c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_19) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,negated_conjecture,
p10(c15,c11),
inference(cnf_transformation,[],[f5]) ).
tcf(c_73,negated_conjecture,
p8(c12,c13),
inference(cnf_transformation,[],[f6]) ).
tcf(c_74,negated_conjecture,
p2(c14,f6(c15)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_75,negated_conjecture,
p3(c13,f4(c14)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i] :
( p8(X0,f4(f5(X1)))
| ~ p8(X0,f4(f6(X1))) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(X3,X1)
| ~ p8(X2,X0)
| ~ p7(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p8(c12,X2)
| ~ p10(X1,c11)
| ~ p3(X2,f4(X0))
| ~ p2(X0,f5(X1)) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( ~ p10(c15,c11)
| ~ p8(c12,X0)
| ~ p2(X1,f5(c15))
| ~ p3(X0,f4(X1)) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( p8(X1,X0)
| ~ p8(c12,c13)
| ~ p7(c12,X1)
| ~ p3(c13,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_191,plain,
! [X0: $i] :
( p8(X0,f4(c14))
| ~ p8(c12,c13)
| ~ p7(c12,X0)
| ~ p3(c13,f4(c14)) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_198,plain,
p2(f5(c15),f5(c15)),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_215,plain,
( p8(c12,f4(c14))
| ~ p8(c12,c13)
| ~ p7(c12,c12)
| ~ p3(c13,f4(c14)) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_216,plain,
p7(c12,c12),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( p8(X1,X0)
| ~ p7(c12,X1)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_260,plain,
! [X0: $i] :
( p8(c12,X0)
| ~ p7(c12,c12)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),X0) ),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_310,plain,
! [X0: $i] :
( p8(c12,f4(X0))
| ~ p7(c12,c12)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),f4(X0)) ),
inference(instantiation,[status(thm)],[c_260]) ).
tcf(c_311,plain,
! [X0: $i] :
( p3(f4(c14),f4(X0))
| ~ p2(c14,X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_319,plain,
! [X0: $i] :
( p8(c12,f4(f6(X0)))
| ~ p7(c12,c12)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),f4(f6(X0))) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_320,plain,
! [X0: $i] :
( p8(c12,f4(f5(X0)))
| ~ p8(c12,f4(f6(X0))) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] :
( ~ p10(c15,c11)
| ~ p8(c12,f4(X0))
| ~ p2(X1,f5(c15))
| ~ p3(f4(X0),f4(X1)) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_329,plain,
( p3(f4(c14),f4(f6(c15)))
| ~ p2(c14,f6(c15)) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_360,plain,
( p8(c12,f4(f6(c15)))
| ~ p7(c12,c12)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),f4(f6(c15))) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_402,plain,
! [X0: $i] :
( ~ p10(c15,c11)
| ~ p8(c12,f4(X0))
| ~ p2(f5(c15),f5(c15))
| ~ p3(f4(X0),f4(f5(c15))) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_446,plain,
( p8(c12,f4(f5(c15)))
| ~ p8(c12,f4(f6(c15))) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_469,plain,
( ~ p10(c15,c11)
| ~ p8(c12,f4(f5(c15)))
| ~ p2(f5(c15),f5(c15))
| ~ p3(f4(f5(c15)),f4(f5(c15))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_727,plain,
p3(f4(f5(c15)),f4(f5(c15))),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_728,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_727,c_469,c_446,c_360,c_329,c_216,c_215,c_198,c_74,c_75,c_72,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n017.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Fri Sep 25 01:40:07 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 3.13/6.33 % SZS status Started for theBenchmark.p
% 3.13/6.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/6.33
% 3.13/6.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.13/6.33
% 3.13/6.33 % ------ iProver source info
% 3.13/6.33
% 3.13/6.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.13/6.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.13/6.33 % git: non_committed_changes: false
% 3.13/6.33
% 3.13/6.33 % ------ Parsing...% successful
% 3.13/6.33
% 3.13/6.33
% 3.13/6.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.13/6.33
% 3.13/6.33 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.13/6.33
% 3.13/6.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.13/6.33 % ------ Proving...
% 3.13/6.33 % ------ Problem Properties
% 3.13/6.33
% 3.13/6.33 %
% 3.13/6.33 % clauses 19
% 3.13/6.33 % conjectures 19
% 3.13/6.33 % EPR 12
% 3.13/6.33 % Horn 19
% 3.13/6.33 % unary 8
% 3.13/6.33 % binary 4
% 3.13/6.33 % lits 40
% 3.13/6.33 % lits eq 0
% 3.13/6.33 % fd_pure 0
% 3.13/6.33 % fd_pseudo 0
% 3.13/6.33 % fd_cond 0
% 3.13/6.33 % fd_pseudo_cond 0
% 3.13/6.33 % AC symbols 0
% 3.13/6.33
% 3.13/6.33 % ------ Schedule dynamic 5 is on
% 3.13/6.33
% 3.13/6.33 % ------ no equalities: superposition off
% 3.13/6.33
% 3.13/6.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/6.33
% 3.13/6.33
% 3.13/6.33 % ------
% 3.13/6.33 % Current options:
% 3.13/6.33 % ------
% 3.13/6.33
% 3.13/6.33
% 3.13/6.33 %
% 3.13/6.33
% 3.13/6.33 % ------ Proving...
% 3.13/6.33 %
% 3.13/6.33
% 3.13/6.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/6.33
% 3.13/6.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/6.33
% 3.13/6.33
%------------------------------------------------------------------------------