%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN558-1 : 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 : n002.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 03:41:05 PM UTC 2026
% Result : Unsatisfiable 3.23s 1.33s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 28 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 148 ( 76 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
fof(f3,negated_conjecture,
! [X0] : p6(c7,f3(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
fof(f4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).
fof(f5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).
fof(f6,negated_conjecture,
! [X0] : p5(c7,X0,f3(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ p5(c7,c9,X0)
| ~ p5(c7,c8,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_8) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X0,X3,X2)
| ~ p5(X0,X1,X3)
| p5(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p5(c7,X2,X0)
| ~ p5(c7,X2,X1)
| ~ p6(c7,X0)
| ~ p6(c7,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p5(X5,X3,X4)
| ~ p4(X5,X0)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p5(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
tcf(c_63,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] : p6(c7,f3(X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,negated_conjecture,
p5(c7,c10,c9),
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,negated_conjecture,
p5(c7,c10,c8),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] : p5(c7,X0,f3(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] :
( ~ p5(c7,c8,X0)
| ~ p5(c7,c9,X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p5(X0,X1,X3)
| ~ p5(X0,X2,X3)
| ~ p5(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X0,X2)
| ~ p5(c7,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p5(X5,X3,X4)
| ~ p4(X0,X5)
| ~ p2(X2,X4)
| ~ p2(X1,X3)
| ~ p5(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_77,plain,
p4(c7,c7),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_149,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p5(X5,X3,X4)
| ~ p4(X0,X5)
| ~ p2(X2,X4)
| ~ p2(X1,X3)
| ~ p5(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_150,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X0,X2)
| ~ p5(c7,X0,X1) ),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_152,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p5(X0,X1,X3)
| ~ p5(X0,X2,X3)
| ~ p5(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_155,negated_conjecture,
! [X0: $i] :
( ~ p5(c7,c8,X0)
| ~ p5(c7,c9,X0) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_157,negated_conjecture,
! [X0: $i] : p5(c7,X0,f3(X0)),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_158,negated_conjecture,
p5(c7,c10,c8),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_159,negated_conjecture,
p5(c7,c10,c9),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_160,negated_conjecture,
! [X0: $i] : p6(c7,f3(X0)),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_162,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_163,plain,
p5(c7,c9,f3(c9)),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( p5(c7,X0,X1)
| ~ p5(c7,X0,f3(X0))
| ~ p5(c7,f3(X0),X1) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_186,plain,
p5(c7,c8,f3(c8)),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_195,plain,
! [X0: $i] :
( p5(c7,X0,f3(f3(X0)))
| ~ p5(c7,X0,f3(X0))
| ~ p5(c7,f3(X0),f3(f3(X0))) ),
inference(instantiation,[status(thm)],[c_171]) ).
tcf(c_196,plain,
! [X0: $i] : p5(c7,f3(X0),f3(f3(X0))),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_249,plain,
( p5(c7,c9,f3(f3(c9)))
| ~ p5(c7,c9,f3(c9))
| ~ p5(c7,f3(c9),f3(f3(c9))) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_251,plain,
( ~ p5(c7,c8,f3(f3(c9)))
| ~ p5(c7,c9,f3(f3(c9))) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_252,plain,
( p5(c7,c8,f3(f3(c8)))
| ~ p5(c7,c8,f3(c8))
| ~ p5(c7,f3(c8),f3(f3(c8))) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p5(X3,X2,X1)
| ~ p4(c7,X3)
| ~ p2(X0,X2)
| ~ p2(f3(f3(X0)),X1)
| ~ p5(c7,X0,f3(f3(X0))) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_285,plain,
p5(c7,f3(c9),f3(f3(c9))),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_306,plain,
p5(c7,f3(c8),f3(f3(c8))),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_382,plain,
! [X0: $i] :
( p5(c7,c10,X0)
| ~ p5(c7,c9,X0) ),
inference(superposition,[status(thm)],[c_159,c_152]) ).
tcf(c_383,plain,
! [X0: $i] :
( p5(c7,c10,X0)
| ~ p5(c7,c8,X0) ),
inference(superposition,[status(thm)],[c_158,c_152]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p5(X3,X2,f3(X1))
| ~ p4(c7,X3)
| ~ p2(X0,X2)
| ~ p5(c7,X0,f3(f3(X0)))
| ~ p2(f3(f3(X0)),f3(X1)) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i] :
( p2(f3(f3(X0)),f3(X1))
| ~ p2(f3(X0),X1) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_486,plain,
p2(c8,c8),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_568,plain,
p5(c7,c10,f3(c9)),
inference(superposition,[status(thm)],[c_157,c_382]) ).
tcf(c_662,plain,
p5(c7,c10,f3(c8)),
inference(superposition,[status(thm)],[c_157,c_383]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( p2(f3(f3(X0)),f3(f3(X1)))
| ~ p2(f3(X0),f3(X1)) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_734,plain,
! [X0: $i] :
( p5(c7,c8,f3(f3(c9)))
| ~ p4(c7,c7)
| ~ p2(X0,c8)
| ~ p5(c7,X0,f3(f3(X0)))
| ~ p2(f3(f3(X0)),f3(f3(c9))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_978,plain,
! [X0: $i] :
( p2(f3(c8),X0)
| ~ p6(c7,X0)
| ~ p6(c7,f3(c8))
| ~ p5(c7,c10,X0) ),
inference(superposition,[status(thm)],[c_662,c_150]) ).
tcf(c_987,plain,
! [X0: $i] :
( p2(f3(c8),X0)
| ~ p6(c7,X0)
| ~ p5(c7,c10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_978,c_160]) ).
tcf(c_1570,plain,
( p5(c7,c8,f3(f3(c9)))
| ~ p4(c7,c7)
| ~ p2(c8,c8)
| ~ p5(c7,c8,f3(f3(c8)))
| ~ p2(f3(f3(c8)),f3(f3(c9))) ),
inference(instantiation,[status(thm)],[c_734]) ).
tcf(c_1771,plain,
( p2(f3(c8),f3(c9))
| ~ p6(c7,f3(c9)) ),
inference(superposition,[status(thm)],[c_568,c_987]) ).
tcf(c_1778,plain,
p2(f3(c8),f3(c9)),
inference(forward_subsumption_resolution,[status(thm)],[c_1771,c_160]) ).
tcf(c_2961,plain,
( p2(f3(f3(c8)),f3(f3(c9)))
| ~ p2(f3(c8),f3(c9)) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_2962,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2961,c_1778,c_1570,c_486,c_306,c_285,c_252,c_251,c_249,c_186,c_163,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 01:46:49 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 3.23/1.33 % SZS status Started for theBenchmark.p
% 3.23/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.33
% 3.23/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.23/1.33
% 3.23/1.33 % ------ iProver source info
% 3.23/1.33
% 3.23/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.23/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.23/1.33 % git: non_committed_changes: false
% 3.23/1.33
% 3.23/1.33 % ------ Parsing...% successful
% 3.23/1.33
% 3.23/1.33
% 3.23/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.23/1.33
% 3.23/1.33 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.23/1.33
% 3.23/1.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.23/1.33 % ------ Proving...
% 3.23/1.33 % ------ Problem Properties
% 3.23/1.33
% 3.23/1.33 %
% 3.23/1.33 % clauses 14
% 3.23/1.33 % conjectures 14
% 3.23/1.33 % EPR 11
% 3.23/1.33 % Horn 14
% 3.23/1.33 % unary 6
% 3.23/1.33 % binary 2
% 3.23/1.33 % lits 33
% 3.23/1.33 % lits eq 0
% 3.23/1.33 % fd_pure 0
% 3.23/1.33 % fd_pseudo 0
% 3.23/1.33 % fd_cond 0
% 3.23/1.33 % fd_pseudo_cond 0
% 3.23/1.33 % AC symbols 0
% 3.23/1.33
% 3.23/1.33 % ------ Schedule dynamic 5 is on
% 3.23/1.33
% 3.23/1.33 % ------ no equalities: superposition off
% 3.23/1.33
% 3.23/1.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.23/1.33
% 3.23/1.33
% 3.23/1.33 % ------
% 3.23/1.33 % Current options:
% 3.23/1.33 % ------
% 3.23/1.33
% 3.23/1.33
% 3.23/1.33 %
% 3.23/1.33
% 3.23/1.33 % ------ Proving...
% 3.23/1.33 %
% 3.23/1.33
% 3.23/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.33
% 3.23/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.23/1.33
% 3.23/1.33
%------------------------------------------------------------------------------