%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:37:34 PM UTC 2026
% Result : Unsatisfiable 8.09s 1.64s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 22 unt; 0 def)
% Number of atoms : 116 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 115 ( 59 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 136 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : nand(X0,X1) = not(and(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nand_definition) ).
fof(f2,axiom,
! [X0] : and(X0,n0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition1) ).
fof(f3,plain,
! [X0] : n0 = and(X0,n0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0] : and(X0,n1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition2) ).
fof(f5,axiom,
not(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition1) ).
fof(f6,plain,
n1 = not(n0),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
not(n1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition2) ).
fof(f8,plain,
n0 = not(n1),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( output(nand(X0,X4),nand(X1,X5),nand(X2,X6),nand(X3,X7))
| ~ output(X4,X5,X6,X7)
| ~ output(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nand_table_definition) ).
fof(f10,negated_conjecture,
output(n0,n0,n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input1) ).
fof(f11,negated_conjecture,
output(n0,n1,n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input2) ).
fof(f12,negated_conjecture,
~ output(n0,n1,n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cannot_make_or) ).
fof(f13,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( output(not(and(X0,X4)),not(and(X1,X5)),not(and(X2,X6)),not(and(X3,X7)))
| ~ output(X4,X5,X6,X7)
| ~ output(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f9,f1,f1,f1,f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( output(not(and(X4,X0)),not(and(X5,X1)),not(and(X6,X2)),not(and(X7,X3)))
| ~ output(X4,X5,X6,X7)
| ~ output(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_59,negated_conjecture,
output(n0,n0,n1,n1),
inference(cnf_transformation,[],[f10]) ).
tcf(c_60,negated_conjecture,
output(n0,n1,n0,n1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_61,negated_conjecture,
~ output(n0,n1,n1,n1),
inference(cnf_transformation,[],[f12]) ).
tcf(c_62,plain,
! [X0: $i] : and(X0,n1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i] : and(X0,n0) = n0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
not(n1) = n0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_65,plain,
not(n0) = n1,
inference(cnf_transformation,[],[f6]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( output(not(X0),not(and(X1,X4)),not(and(X2,X5)),not(and(X3,X6)))
| ~ output(n1,X4,X5,X6)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_62,c_58]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( output(not(and(X0,X4)),not(X1),not(and(X2,X5)),not(and(X3,X6)))
| ~ output(X4,n1,X5,X6)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_62,c_58]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(not(X0),not(X1),not(and(X2,X4)),not(and(X3,X5)))
| ~ output(n1,n1,X4,X5)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_62,c_209]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(not(n0),not(X1),not(and(X2,X4)),not(and(X3,X5)))
| ~ output(n0,n1,X4,X5)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_63,c_210]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(n1,not(X1),not(and(X2,X4)),not(and(X3,X5)))
| ~ output(n0,n1,X4,X5)
| ~ output(X0,X1,X2,X3) ),
inference(light_normalisation,[status(thm)],[c_295,c_65]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( output(n1,not(n1),not(and(n0,X0)),not(and(n1,X1)))
| ~ output(n0,n1,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_296]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( output(n1,not(not(and(X5,X1))),not(and(not(and(X6,X2)),X8)),not(and(not(and(X7,X3)),X9)))
| ~ output(n0,n1,X8,X9)
| ~ output(X4,X5,X6,X7)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_58,c_296]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( output(n1,n0,not(and(n0,X0)),not(and(n1,X1)))
| ~ output(n0,n1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_366,c_64]) ).
tcf(c_407,plain,
! [X0: $i] :
( output(n1,n0,not(and(n0,X0)),not(n1))
| ~ output(n0,n1,X0,n1) ),
inference(superposition,[status(thm)],[c_62,c_370]) ).
tcf(c_409,plain,
! [X0: $i] :
( output(n1,n0,not(and(n0,X0)),n0)
| ~ output(n0,n1,X0,n1) ),
inference(light_normalisation,[status(thm)],[c_407,c_64]) ).
tcf(c_450,plain,
( output(n1,n0,not(n0),n0)
| ~ output(n0,n1,n0,n1) ),
inference(superposition,[status(thm)],[c_63,c_409]) ).
tcf(c_453,plain,
( output(n1,n0,n1,n0)
| ~ output(n0,n1,n0,n1) ),
inference(light_normalisation,[status(thm)],[c_450,c_65]) ).
tcf(c_454,plain,
output(n1,n0,n1,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_453,c_60]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(n1,not(not(and(X1,n0))),not(and(not(and(X2,n1)),X4)),not(and(not(and(X3,n1)),X5)))
| ~ output(n0,n1,X4,X5)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_59,c_367]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(n1,n0,not(and(not(X2),X4)),not(and(not(X3),X5)))
| ~ output(n0,n1,X4,X5)
| ~ output(X0,X1,X2,X3) ),
inference(demodulation,[status(thm)],[c_627,c_63,c_62,c_65,c_64]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i] :
( output(n1,n0,not(and(not(n0),X0)),not(and(not(n1),X1)))
| ~ output(n0,n1,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_729]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i] :
( output(n1,n0,not(and(n1,X0)),not(and(n0,X1)))
| ~ output(n0,n1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_740,c_65,c_64]) ).
tcf(c_2716,plain,
! [X0: $i] :
( output(n1,n0,not(and(n1,X0)),not(n0))
| ~ output(n0,n1,X0,n1) ),
inference(superposition,[status(thm)],[c_62,c_751]) ).
tcf(c_2732,plain,
! [X0: $i] :
( output(n1,n0,not(and(n1,X0)),n1)
| ~ output(n0,n1,X0,n1) ),
inference(light_normalisation,[status(thm)],[c_2716,c_65]) ).
tcf(c_2822,plain,
( output(n1,n0,not(n0),n1)
| ~ output(n0,n1,n0,n1) ),
inference(superposition,[status(thm)],[c_63,c_2732]) ).
tcf(c_2839,plain,
( output(n1,n0,n1,n1)
| ~ output(n0,n1,n0,n1) ),
inference(light_normalisation,[status(thm)],[c_2822,c_65]) ).
tcf(c_2840,plain,
output(n1,n0,n1,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_2839,c_60]) ).
tcf(c_4298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( output(not(X0),not(X1),not(and(X2,X4)),not(n0))
| ~ output(n1,n1,X4,n0)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_63,c_237]) ).
tcf(c_4326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( output(not(X0),not(X1),not(and(X2,X4)),n1)
| ~ output(n1,n1,X4,n0)
| ~ output(X0,X1,X2,X3) ),
inference(light_normalisation,[status(thm)],[c_4298,c_65]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( output(not(X0),not(and(X1,X4)),not(and(X2,X5)),not(and(X3,X6)))
| ~ output(n1,X4,X5,X6)
| ~ output(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_62,c_58]) ).
tcf(c_4512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( output(n1,not(and(X0,X3)),not(and(X1,X4)),not(and(X2,X5)))
| ~ output(n1,X3,X4,X5)
| ~ output(n0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_65,c_4490]) ).
tcf(c_4559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( output(n1,not(n0),not(and(X1,X3)),not(and(X2,X4)))
| ~ output(n1,n0,X3,X4)
| ~ output(n0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_63,c_4512]) ).
tcf(c_4560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( output(n1,n1,not(and(X1,X3)),not(and(X2,X4)))
| ~ output(n1,n0,X3,X4)
| ~ output(n0,X0,X1,X2) ),
inference(light_normalisation,[status(thm)],[c_4559,c_65]) ).
tcf(c_4606,plain,
! [X0: $i,X1: $i] :
( output(n1,n1,not(and(n1,X0)),not(and(n1,X1)))
| ~ output(n1,n0,X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_4560]) ).
tcf(c_4621,plain,
! [X0: $i] :
( output(n1,n1,not(and(n1,X0)),not(n1))
| ~ output(n1,n0,X0,n1) ),
inference(superposition,[status(thm)],[c_62,c_4606]) ).
tcf(c_4622,plain,
! [X0: $i] :
( output(n1,n1,not(and(n1,X0)),n0)
| ~ output(n1,n0,X0,n1) ),
inference(light_normalisation,[status(thm)],[c_4621,c_64]) ).
tcf(c_4643,plain,
( output(n1,n1,not(n1),n0)
| ~ output(n1,n0,n1,n1) ),
inference(superposition,[status(thm)],[c_62,c_4622]) ).
tcf(c_4644,plain,
( output(n1,n1,n0,n0)
| ~ output(n1,n0,n1,n1) ),
inference(light_normalisation,[status(thm)],[c_4643,c_64]) ).
tcf(c_7850,plain,
! [X0: $i] :
( output(not(n1),not(n0),not(and(n1,X0)),n1)
| ~ output(n1,n1,X0,n0) ),
inference(superposition,[status(thm)],[c_454,c_4326]) ).
tcf(c_7866,plain,
! [X0: $i] :
( output(n0,n1,not(and(n1,X0)),n1)
| ~ output(n1,n1,X0,n0) ),
inference(light_normalisation,[status(thm)],[c_7850,c_65,c_64]) ).
tcf(c_8450,plain,
( output(n0,n1,not(n0),n1)
| ~ output(n1,n1,n0,n0) ),
inference(superposition,[status(thm)],[c_63,c_7866]) ).
tcf(c_8485,plain,
( output(n0,n1,n1,n1)
| ~ output(n1,n1,n0,n0) ),
inference(light_normalisation,[status(thm)],[c_8450,c_65]) ).
tcf(c_8486,plain,
~ output(n1,n1,n0,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_8485,c_61]) ).
tcf(c_8491,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8486,c_4644,c_2840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 16:21:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 8.09/1.64 % SZS status Started for theBenchmark.p
% 8.09/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.64
% 8.09/1.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.09/1.64
% 8.09/1.64 % ------ iProver source info
% 8.09/1.64
% 8.09/1.64 % git: date: 2026-07-19 20:42:38 +0200
% 8.09/1.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.09/1.64 % git: non_committed_changes: false
% 8.09/1.64
% 8.09/1.64 % ------ Parsing...% successful
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.09/1.64
% 8.09/1.64 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.09/1.64
% 8.09/1.64 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.09/1.64
% 8.09/1.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.09/1.64 % ------ Proving...
% 8.09/1.64 % ------ Problem Properties
% 8.09/1.64
% 8.09/1.64 %
% 8.09/1.64 % clauses 8
% 8.09/1.64 % conjectures 4
% 8.09/1.64 % EPR 3
% 8.09/1.64 % Horn 8
% 8.09/1.64 % unary 7
% 8.09/1.64 % binary 0
% 8.09/1.64 % lits 10
% 8.09/1.64 % lits eq 4
% 8.09/1.64 % fd_pure 0
% 8.09/1.64 % fd_pseudo 0
% 8.09/1.64 % fd_cond 0
% 8.09/1.64 % fd_pseudo_cond 0
% 8.09/1.64 % AC symbols 0
% 8.09/1.64
% 8.09/1.64 % ------ Schedule dynamic 5 is on
% 8.09/1.64
% 8.09/1.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 % ------
% 8.09/1.64 % Current options:
% 8.09/1.64 % ------
% 8.09/1.64
% 8.09/1.64
% 8.09/1.64 %
% 8.09/1.64
% 8.09/1.64 % ------ Proving...
% 8.09/1.64 %
% 8.09/1.64
% 8.09/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.64
% 8.09/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.09/1.64
% 8.09/1.64
%------------------------------------------------------------------------------