%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN622-1 : 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 : n003.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 03:41:14 PM UTC 2026
% Result : Unsatisfiable 4.71s 1.30s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
! [X0,X1] : p8(f16(X0,f17(X1,X0)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p11(f13(X0),f13(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_10) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_21) ).
fof(f24,negated_conjecture,
! [X0] : p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_24) ).
fof(f26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_26) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p8(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).
tcf(c_87,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i] : p8(f16(X0,f17(X1,X0)),X1),
inference(cnf_transformation,[],[f8]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i] :
( p11(f13(X0),f13(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p8(X1,X2)
| ~ p8(X0,X2)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] : p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_108,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(f12(X0,X2),f12(X1,X3))
| ~ p8(X2,X3)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_117,plain,
p2(c26,c26),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_130,plain,
( p11(f13(c26),f13(c26))
| ~ p2(c26,c26) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_394,negated_conjecture,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_p8_2: iProver_p8_2,X1_iProver_f12_1: iProver_f12_1] :
( p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(X1_iProver_f12_1,X1_iProver_p8_2))
| ~ p8(X0_iProver_p8_2,X1_iProver_p8_2)
| ~ p11(X0_iProver_f12_1,X1_iProver_f12_1) ),
inference(subtyping,[status(esa)],[c_113]) ).
tcf(c_397,negated_conjecture,
! [X0_iProver_p8_2: iProver_p8_2] : p8(f12(f13(c23),X0_iProver_p8_2),f12(f13(c26),f16(c27,X0_iProver_p8_2))),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_400,negated_conjecture,
! [X0_iProver_p8_2: iProver_p8_2,X1_iProver_p8_2: iProver_p8_2,X2_iProver_p8_2: iProver_p8_2] :
( p8(X1_iProver_p8_2,X2_iProver_p8_2)
| ~ p8(X0_iProver_p8_2,X2_iProver_p8_2)
| ~ p8(X0_iProver_p8_2,X1_iProver_p8_2) ),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_412,negated_conjecture,
! [X0_iProver_p8_2: iProver_p8_2,X1_iProver_p8_2: iProver_p8_2] : p8(f16(X0_iProver_p8_2,f17(X1_iProver_p8_2,X0_iProver_p8_2)),X1_iProver_p8_2),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_438,plain,
! [X0_iProver_p8_2: iProver_p8_2] :
( p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28))
| ~ p8(X0_iProver_p8_2,f12(f13(c26),c28))
| ~ p8(X0_iProver_p8_2,f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_448,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1] :
( p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28))
| ~ p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(f13(c26),c28))
| ~ p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_438]) ).
tcf(c_468,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1] :
( p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(f13(c26),c28))
| ~ p8(X0_iProver_p8_2,c28)
| ~ p11(X0_iProver_f12_1,f13(c26)) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_507,plain,
! [X0_iProver_p8_2: iProver_p8_2] : p8(f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2)),c28),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_508,plain,
p8(f16(c27,f17(c28,c27)),c28),
inference(instantiation,[status(thm)],[c_507]) ).
tcf(c_514,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1] :
( p8(f12(X0_iProver_f12_1,f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2))),f12(f13(c26),c28))
| ~ p11(X0_iProver_f12_1,f13(c26))
| ~ p8(f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2)),c28) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_583,plain,
! [X0_iProver_p8_2: iProver_p8_2,X1_iProver_p8_2: iProver_p8_2] :
( p8(X1_iProver_p8_2,f12(f13(c23),f17(c28,c27)))
| ~ p8(X0_iProver_p8_2,X1_iProver_p8_2)
| ~ p8(X0_iProver_p8_2,f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_608,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f13_1: iProver_f13_1] :
( p8(f12(f13(X0_iProver_f13_1),f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2))),f12(f13(c26),c28))
| ~ p11(f13(X0_iProver_f13_1),f13(c26))
| ~ p8(f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2)),c28) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_609,plain,
( p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28))
| ~ p11(f13(c26),f13(c26))
| ~ p8(f16(c27,f17(c28,c27)),c28) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_634,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_p8_2: iProver_p8_2] :
( p8(X1_iProver_p8_2,f12(f13(c23),f17(c28,c27)))
| ~ p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),X1_iProver_p8_2)
| ~ p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_637,plain,
! [X0_iProver_p8_2: iProver_p8_2,X1_iProver_p8_2: iProver_p8_2] :
( p8(X1_iProver_p8_2,f12(f13(c23),f17(c28,c27)))
| ~ p8(f16(X0_iProver_p8_2,f17(f12(f13(c23),f17(c28,c27)),X0_iProver_p8_2)),X1_iProver_p8_2)
| ~ p8(f16(X0_iProver_p8_2,f17(f12(f13(c23),f17(c28,c27)),X0_iProver_p8_2)),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_738,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f13_1: iProver_f13_1] :
( p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28))
| ~ p8(f12(f13(X0_iProver_f13_1),f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2))),f12(f13(c26),c28))
| ~ p8(f12(f13(X0_iProver_f13_1),f16(X0_iProver_p8_2,f17(c28,X0_iProver_p8_2))),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_739,plain,
( p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28))
| ~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28))
| ~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_738]) ).
tcf(c_771,plain,
! [X0_iProver_p8_2: iProver_p8_2] : p8(f16(X0_iProver_p8_2,f17(f12(f13(c23),f17(c28,c27)),X0_iProver_p8_2)),f12(f13(c23),f17(c28,c27))),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_890,plain,
! [X0_iProver_p8_2: iProver_p8_2] :
( p8(X0_iProver_p8_2,f12(f13(c23),f17(c28,c27)))
| ~ p8(f12(f13(c23),f17(c28,c27)),X0_iProver_p8_2)
| ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_634]) ).
tcf(c_898,plain,
! [X0_iProver_p8_2: iProver_p8_2] :
( p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27)))
| ~ p8(f16(X0_iProver_p8_2,f17(f12(f13(c23),f17(c28,c27)),X0_iProver_p8_2)),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_637]) ).
tcf(c_1099,plain,
! [X0_iProver_p8_2: iProver_p8_2,X0_iProver_f12_1: iProver_f12_1] :
( p8(f12(X0_iProver_f12_1,X0_iProver_p8_2),f12(f13(c23),f17(c28,c27)))
| ~ p8(f12(f13(c23),f17(c28,c27)),f12(X0_iProver_f12_1,X0_iProver_p8_2))
| ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27))) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_1672,plain,
( p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c23),f17(c28,c27)))
| ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27)))
| ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),f16(c27,f17(c28,c27)))) ),
inference(instantiation,[status(thm)],[c_1099]) ).
tcf(c_2389,plain,
p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),f16(c27,f17(c28,c27)))),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_2390,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2389,c_1672,c_898,c_771,c_739,c_609,c_508,c_108,c_130,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN622-1 : 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 : n003.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 01:56:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 4.71/1.30 % SZS status Started for theBenchmark.p
% 4.71/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.71/1.30
% 4.71/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.71/1.30
% 4.71/1.30 % ------ iProver source info
% 4.71/1.30
% 4.71/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.71/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.71/1.30 % git: non_committed_changes: false
% 4.71/1.30
% 4.71/1.30 % ------ Parsing...% successful
% 4.71/1.30
% 4.71/1.30
% 4.71/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.71/1.30
% 4.71/1.30 % ------ Preprocessing... sf_s rm: 7 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.71/1.30
% 4.71/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.71/1.30 % ------ Proving...
% 4.71/1.30 % ------ Problem Properties
% 4.71/1.30
% 4.71/1.30 %
% 4.71/1.30 % clauses 27
% 4.71/1.30 % conjectures 27
% 4.71/1.30 % EPR 10
% 4.71/1.30 % Horn 27
% 4.71/1.30 % unary 10
% 4.71/1.30 % binary 8
% 4.71/1.30 % lits 53
% 4.71/1.30 % lits eq 0
% 4.71/1.30 % fd_pure 0
% 4.71/1.30 % fd_pseudo 0
% 4.71/1.30 % fd_cond 0
% 4.71/1.30 % fd_pseudo_cond 0
% 4.71/1.30 % AC symbols 0
% 4.71/1.30
% 4.71/1.30 % ------ Input Options Time Limit: Unbounded
% 4.71/1.30
% 4.71/1.30
% 4.71/1.30 % ------
% 4.71/1.30 % Current options:
% 4.71/1.30 % ------
% 4.71/1.30
% 4.71/1.30
% 4.71/1.30 %
% 4.71/1.30
% 4.71/1.30 % ------ Proving...
% 4.71/1.30 %
% 4.71/1.30
% 4.71/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.71/1.30
% 4.71/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.71/1.30
% 4.71/1.30
%------------------------------------------------------------------------------