%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN613-1 : 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 : n013.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 03:41:13 PM UTC 2026
% Result : Unsatisfiable 1.65s 1.08s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X0] : p16(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).
fof(f7,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f8,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
fof(f21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_21) ).
fof(f22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_22) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p17(X4,X3,X5)
| ~ p11(X5,X2)
| ~ p16(X4,X0)
| ~ p3(X3,X1)
| p17(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : p16(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,negated_conjecture,
p11(c23,f12(f9(c21))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,negated_conjecture,
p11(c24,f12(f9(c21))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X1,X2)
| ~ p11(X0,X2)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_100,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(cnf_transformation,[],[f21]) ).
tcf(c_101,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(cnf_transformation,[],[f22]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p17(X5,X4,X3)
| ~ p16(X0,X5)
| ~ p3(X1,X4)
| ~ p11(X2,X3)
| ~ p17(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i,X2: $i] :
( p17(X2,X0,X1)
| ~ p16(c19,X2)
| ~ p11(c24,X1)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( p17(X1,X0,f12(f9(c21)))
| ~ p16(c19,X1)
| ~ p11(c24,f12(f9(c21)))
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) ),
inference(instantiation,[status(thm)],[c_297]) ).
tcf(c_419,plain,
p16(c19,c19),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] :
( p11(f12(f9(c21)),X1)
| ~ p11(X0,X1)
| ~ p11(X0,f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_447,plain,
! [X0: $i] :
( p17(c19,X0,f12(f9(c21)))
| ~ p16(c19,c19)
| ~ p11(c24,f12(f9(c21)))
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_471,plain,
! [X0: $i] :
( p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(X0))
| ~ p2(f7(f10(c20),f8(f9(c21),c22)),X0) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_544,plain,
! [X0: $i] :
( p11(f12(f9(c21)),X0)
| ~ p11(c23,X0)
| ~ p11(c23,f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_577,plain,
( p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22))))
| ~ p2(f7(f10(c20),f8(f9(c21),c22)),f7(f10(c20),f8(f9(c21),c22))) ),
inference(instantiation,[status(thm)],[c_471]) ).
tcf(c_578,plain,
p2(f7(f10(c20),f8(f9(c21),c22)),f7(f10(c20),f8(f9(c21),c22))),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_597,plain,
( p11(f12(f9(c21)),c23)
| ~ p11(c23,c23)
| ~ p11(c23,f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_598,plain,
p11(c23,c23),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_842,plain,
( p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21)))
| ~ p16(c19,c19)
| ~ p11(c24,f12(f9(c21)))
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i] :
( p17(X2,X0,X1)
| ~ p16(c19,X2)
| ~ p11(f12(f9(c21)),X1)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i] :
( p17(c19,X0,X1)
| ~ p16(c19,c19)
| ~ p11(f12(f9(c21)),X1)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_2497,plain,
! [X0: $i] :
( p17(c19,X0,c23)
| ~ p16(c19,c19)
| ~ p11(f12(f9(c21)),c23)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21))) ),
inference(instantiation,[status(thm)],[c_1642]) ).
tcf(c_3619,plain,
( p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23)
| ~ p16(c19,c19)
| ~ p11(f12(f9(c21)),c23)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21)))
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(instantiation,[status(thm)],[c_2497]) ).
tcf(c_3620,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3619,c_842,c_598,c_597,c_578,c_577,c_419,c_101,c_100,c_86,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN613-1 : 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 : n013.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 01:53:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.65/1.08 % SZS status Started for theBenchmark.p
% 1.65/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.65/1.08
% 1.65/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.65/1.08
% 1.65/1.08 % ------ iProver source info
% 1.65/1.08
% 1.65/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 1.65/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.65/1.08 % git: non_committed_changes: false
% 1.65/1.08
% 1.65/1.08 % ------ Parsing...% successful
% 1.65/1.08
% 1.65/1.08
% 1.65/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.65/1.08
% 1.65/1.08 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.65/1.08
% 1.65/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.65/1.08 % ------ Proving...
% 1.65/1.08 % ------ Problem Properties
% 1.65/1.08
% 1.65/1.08 %
% 1.65/1.08 % clauses 31
% 1.65/1.08 % conjectures 31
% 1.65/1.08 % EPR 14
% 1.65/1.08 % Horn 30
% 1.65/1.08 % unary 10
% 1.65/1.08 % binary 8
% 1.65/1.08 % lits 70
% 1.65/1.08 % lits eq 0
% 1.65/1.08 % fd_pure 0
% 1.65/1.08 % fd_pseudo 0
% 1.65/1.08 % fd_cond 0
% 1.65/1.08 % fd_pseudo_cond 0
% 1.65/1.08 % AC symbols 0
% 1.65/1.08
% 1.65/1.08 % ------ Schedule dynamic 5 is on
% 1.65/1.08
% 1.65/1.08 % ------ no equalities: superposition off
% 1.65/1.08
% 1.65/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.65/1.08
% 1.65/1.08
% 1.65/1.08 % ------
% 1.65/1.08 % Current options:
% 1.65/1.08 % ------
% 1.65/1.08
% 1.65/1.08
% 1.65/1.08 %
% 1.65/1.08
% 1.65/1.08 % ------ Proving...
% 1.65/1.08 %
% 1.65/1.08
% 1.65/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.65/1.08
% 1.65/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.65/1.08
% 1.65/1.08
%------------------------------------------------------------------------------