%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN698-1 : 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 : n016.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 03:41:25 PM UTC 2026
% Result : Unsatisfiable 2.03s 1.08s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f18,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
fof(f43,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).
fof(f56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_56) ).
fof(f57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_57) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
tcf(c_129,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_134,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_140,negated_conjecture,
p2(c44,c46),
inference(cnf_transformation,[],[f18]) ).
tcf(c_159,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_178,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_179,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[],[f57]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f11(X2,X0),f11(X3,X1))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_671,plain,
! [X0: $i] :
( p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_684,plain,
p10(c43,c43),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i] :
( p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(X0,X1),f11(f4(c46),c43))
| ~ p2(f11(X0,X1),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_671]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( p2(f11(X0,X1),f11(f4(c46),c43))
| ~ p10(X1,c43)
| ~ p3(X0,f4(c46)) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_785,plain,
! [X0: $i] :
( p2(f11(X0,c43),f11(f4(c46),c43))
| ~ p10(c43,c43)
| ~ p3(X0,f4(c46)) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_834,plain,
! [X0: $i] :
( p3(f4(X0),f4(c46))
| ~ p2(X0,c46) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_967,plain,
( p3(f4(c44),f4(c46))
| ~ p2(c44,c46) ),
inference(instantiation,[status(thm)],[c_834]) ).
tcf(c_1345,plain,
( p2(f11(f4(c44),c43),f11(f4(c46),c43))
| ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c46)) ),
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_2198,plain,
( p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c46),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_2962,plain,
! [X0: $i] :
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c44),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_3436,plain,
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_2962]) ).
tcf(c_3940,plain,
! [X0: $i,X1: $i] : p2(f11(X0,X1),f11(X0,X1)),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_4691,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(instantiation,[status(thm)],[c_3940]) ).
tcf(c_4692,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4691,c_3436,c_2198,c_1345,c_967,c_684,c_179,c_178,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN698-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 02:11:43 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.03/1.08 % SZS status Started for theBenchmark.p
% 2.03/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.08
% 2.03/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/1.08
% 2.03/1.08 % ------ iProver source info
% 2.03/1.08
% 2.03/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/1.08 % git: non_committed_changes: false
% 2.03/1.08
% 2.03/1.08 % ------ Parsing...% successful
% 2.03/1.08
% 2.03/1.08
% 2.03/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.03/1.08
% 2.03/1.08 % ------ Preprocessing... sf_s rm: 41 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.03/1.08
% 2.03/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.03/1.08 % ------ Proving...
% 2.03/1.08 % ------ Problem Properties
% 2.03/1.08
% 2.03/1.08 %
% 2.03/1.08 % clauses 33
% 2.03/1.08 % conjectures 33
% 2.03/1.08 % EPR 10
% 2.03/1.08 % Horn 33
% 2.03/1.08 % unary 15
% 2.03/1.08 % binary 6
% 2.03/1.08 % lits 64
% 2.03/1.08 % lits eq 0
% 2.03/1.08 % fd_pure 0
% 2.03/1.08 % fd_pseudo 0
% 2.03/1.08 % fd_cond 0
% 2.03/1.08 % fd_pseudo_cond 0
% 2.03/1.08 % AC symbols 0
% 2.03/1.08
% 2.03/1.08 % ------ Schedule dynamic 5 is on
% 2.03/1.08
% 2.03/1.08 % ------ no equalities: superposition off
% 2.03/1.08
% 2.03/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.03/1.08
% 2.03/1.08
% 2.03/1.08 % ------
% 2.03/1.08 % Current options:
% 2.03/1.08 % ------
% 2.03/1.08
% 2.03/1.08
% 2.03/1.08 %
% 2.03/1.08
% 2.03/1.08 % ------ Proving...
% 2.03/1.08 %
% 2.03/1.08
% 2.03/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.08
% 2.03/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.08
% 2.03/1.08
%------------------------------------------------------------------------------