%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN640-1 : 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 : 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 03:41:17 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.27s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 48 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 3 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 : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_7) ).
fof(f9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
fof(f10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_12) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p19(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p19(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
fof(f33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_33) ).
fof(f34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
fof(f35,negated_conjecture,
! [X0,X1] :
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_35) ).
tcf(c_95,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_97,negated_conjecture,
~ p20(f17(c25),f17(c22)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_99,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_100,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_102,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p19(X3,X1)
| ~ p19(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_123,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[],[f33]) ).
tcf(c_124,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[],[f34]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i] :
( p20(f17(X0),f17(X1))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p19(f13(f11(X0)),f13(f11(X1))) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_457,plain,
! [X0: $i] :
( p20(f17(c25),f17(X0))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p19(f13(f11(c25)),f13(f11(X0))) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i] :
( p19(X1,X0)
| ~ p2(f13(f11(c23)),X1)
| ~ p2(f13(f11(c22)),X0)
| ~ p19(f13(f11(c23)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_467,plain,
( p20(f17(c25),f17(c22))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p19(f13(f11(c25)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_487,plain,
! [X0: $i] :
( p19(X0,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X0)
| ~ p19(f13(f11(c23)),f13(f11(c22)))
| ~ p2(f13(f11(c22)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_488,plain,
p2(f13(f11(c22)),f13(f11(c22))),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_544,plain,
( p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))
| ~ p19(f13(f11(c23)),f13(f11(c22)))
| ~ p2(f13(f11(c22)),f13(f11(c22)))
| ~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_487]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( p19(X0,X1)
| ~ p2(f13(f11(c22)),X1)
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| ~ p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f7(X1),X2)
| ~ p2(X0,X2)
| ~ p2(X0,f7(X1)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_1190,plain,
! [X0: $i] :
( p19(X0,f13(f11(c22)))
| ~ p2(f13(f11(c22)),f13(f11(c22)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| ~ p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_588]) ).
tcf(c_1509,plain,
! [X0: $i] :
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| ~ p2(f13(f11(c25)),X0)
| ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_797]) ).
tcf(c_2005,plain,
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25)))
| ~ p2(f13(f11(c25)),f13(f11(c25)))
| ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_2006,plain,
p2(f13(f11(c25)),f13(f11(c25))),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2508,plain,
( p19(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f13(f11(c22)),f13(f11(c22)))
| ~ p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))) ),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_2509,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2508,c_2006,c_2005,c_544,c_488,c_467,c_123,c_124,c_102,c_97,c_99,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:57:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 3.52/1.27 % SZS status Started for theBenchmark.p
% 3.52/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.27
% 3.52/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.52/1.27
% 3.52/1.27 % ------ iProver source info
% 3.52/1.27
% 3.52/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.52/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.52/1.27 % git: non_committed_changes: false
% 3.52/1.27
% 3.52/1.27 % ------ Parsing...% successful
% 3.52/1.27
% 3.52/1.27
% 3.52/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.52/1.27
% 3.52/1.27 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.52/1.27
% 3.52/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.52/1.27 % ------ Proving...
% 3.52/1.27 % ------ Problem Properties
% 3.52/1.27
% 3.52/1.27 %
% 3.52/1.27 % clauses 38
% 3.52/1.27 % conjectures 38
% 3.52/1.27 % EPR 12
% 3.52/1.27 % Horn 38
% 3.52/1.27 % unary 19
% 3.52/1.27 % binary 9
% 3.52/1.27 % lits 70
% 3.52/1.27 % lits eq 0
% 3.52/1.27 % fd_pure 0
% 3.52/1.27 % fd_pseudo 0
% 3.52/1.27 % fd_cond 0
% 3.52/1.27 % fd_pseudo_cond 0
% 3.52/1.27 % AC symbols 0
% 3.52/1.27
% 3.52/1.27 % ------ Schedule dynamic 5 is on
% 3.52/1.27
% 3.52/1.27 % ------ no equalities: superposition off
% 3.52/1.27
% 3.52/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.52/1.27
% 3.52/1.27
% 3.52/1.27 % ------
% 3.52/1.27 % Current options:
% 3.52/1.27 % ------
% 3.52/1.27
% 3.52/1.27
% 3.52/1.27 %
% 3.52/1.27
% 3.52/1.27 % ------ Proving...
% 3.52/1.27 %
% 3.52/1.27
% 3.52/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.27
% 3.52/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.52/1.27
% 3.52/1.27
%------------------------------------------------------------------------------