%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% 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 01:37:34 PM UTC 2026
% Result : Unsatisfiable 45.60s 7.80s
% Output : CNFRefutation 45.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 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; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
and(n0,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition1) ).
fof(f2,plain,
n0 = and(n0,n0),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
and(n0,n1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition2) ).
fof(f4,plain,
n0 = and(n0,n1),
inference(reorient_equations,[],[f3]) ).
fof(f36,axiom,
! [X0,X1] : circuit(top(X0),X1,bottom(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsume_symmetric) ).
fof(f37,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : and(table(X0,X1,X2,X3),table(X4,X5,X6,X7)) = table(and(X0,X4),and(X1,X5),and(X2,X6),and(X3,X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_table_definition) ).
fof(f38,axiom,
! [X0] : and(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition5) ).
fof(f44,axiom,
table(n0,n0,n0,n0) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_table) ).
fof(f45,plain,
nil = table(n0,n0,n0,n0),
inference(reorient_equations,[],[f44]) ).
fof(f48,axiom,
! [X0] : connect(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_definition1) ).
fof(f52,negated_conjecture,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_output_configuration) ).
tcf(c_87,plain,
and(n0,n0) = n0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_88,plain,
and(n0,n1) = n0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] : circuit(top(X0),X1,bottom(X0)),
inference(cnf_transformation,[],[f36]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : table(and(X0,X1),and(X2,X3),and(X4,X5),and(X6,X7)) = and(table(X0,X2,X4,X6),table(X1,X3,X5,X7)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_114,plain,
! [X0: $i] : and(nil,X0) = X0,
inference(cnf_transformation,[],[f38]) ).
tcf(c_119,plain,
table(n0,n0,n0,n0) = nil,
inference(cnf_transformation,[],[f45]) ).
tcf(c_121,plain,
! [X0: $i] : connect(nil,X0) = X0,
inference(cnf_transformation,[],[f48]) ).
tcf(c_124,negated_conjecture,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(cnf_transformation,[],[f52]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5)),
inference(superposition,[status(thm)],[c_87,c_113]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,n0,X1,X2),table(X3,n1,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5)),
inference(superposition,[status(thm)],[c_88,c_113]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5)),
inference(superposition,[status(thm)],[c_87,c_113]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,n0,X2),table(X3,X4,n1,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5)),
inference(superposition,[status(thm)],[c_88,c_113]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(and(X0,X3),and(X1,X4),and(X2,X5),n0),
inference(superposition,[status(thm)],[c_87,c_113]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,X2,n0),table(X3,X4,X5,n1)) = table(and(X0,X3),and(X1,X4),and(X2,X5),n0),
inference(superposition,[status(thm)],[c_88,c_113]) ).
tcf(c_1531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = and(table(X0,n0,X1,X2),table(X3,n1,X4,X5)),
inference(demodulation,[status(thm)],[c_277,c_276]) ).
tcf(c_1534,plain,
! [X0: $i,X1: $i,X2: $i] : and(nil,table(X0,n0,X1,X2)) = and(nil,table(X0,n1,X1,X2)),
inference(superposition,[status(thm)],[c_119,c_1531]) ).
tcf(c_1549,plain,
! [X0: $i,X1: $i,X2: $i] : table(X0,n0,X1,X2) = table(X0,n1,X1,X2),
inference(demodulation,[status(thm)],[c_1534,c_114]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = and(table(X0,X1,n0,X2),table(X3,X4,n1,X5)),
inference(demodulation,[status(thm)],[c_281,c_280]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i,X2: $i] : and(nil,table(X0,X1,n0,X2)) = and(nil,table(X0,X1,n1,X2)),
inference(superposition,[status(thm)],[c_119,c_2056]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i] : table(X0,X1,n0,X2) = table(X0,X1,n1,X2),
inference(demodulation,[status(thm)],[c_2060,c_114]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : and(table(X0,X1,X2,nil),table(X3,X4,X5,X6)) = table(and(X0,X3),and(X1,X4),and(X2,X5),X6),
inference(superposition,[status(thm)],[c_114,c_113]) ).
tcf(c_4004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,X2,nil),table(X3,X4,X5,n0)) = and(table(X0,X1,X2,n0),table(X3,X4,X5,n0)),
inference(demodulation,[status(thm)],[c_284,c_2820]) ).
tcf(c_4010,plain,
! [X0: $i,X1: $i,X2: $i] : and(table(n0,n0,n0,nil),table(X0,X1,X2,n0)) = and(nil,table(X0,X1,X2,n0)),
inference(superposition,[status(thm)],[c_119,c_4004]) ).
tcf(c_4033,plain,
! [X0: $i,X1: $i,X2: $i] : and(table(n0,n0,n0,nil),table(X0,X1,X2,n0)) = table(X0,X1,X2,n0),
inference(demodulation,[status(thm)],[c_4010,c_114]) ).
tcf(c_4958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : and(table(X0,X1,X2,nil),table(X3,X4,X5,n0)) = and(table(X0,X1,X2,n0),table(X3,X4,X5,n1)),
inference(demodulation,[status(thm)],[c_285,c_2820]) ).
tcf(c_4964,plain,
! [X0: $i,X1: $i,X2: $i] : and(table(n0,n0,n0,nil),table(X0,X1,X2,n0)) = and(nil,table(X0,X1,X2,n1)),
inference(superposition,[status(thm)],[c_119,c_4958]) ).
tcf(c_4987,plain,
! [X0: $i,X1: $i,X2: $i] : table(X0,X1,X2,n0) = table(X0,X1,X2,n1),
inference(demodulation,[status(thm)],[c_4964,c_114,c_4033]) ).
tcf(c_7784,plain,
~ circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(superposition,[status(thm)],[c_1549,c_124]) ).
tcf(c_7800,plain,
~ circuit(top(nil),nil,bottom(nil)),
inference(demodulation,[status(thm)],[c_7784,c_119,c_121,c_2079,c_4987]) ).
tcf(c_8021,plain,
$false,
inference(superposition,[status(thm)],[c_112,c_7800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Wed Sep 23 16:20:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 45.60/7.80 % SZS status Started for theBenchmark.p
% 45.60/7.80 % SZS status Unsatisfiable for theBenchmark.p
% 45.60/7.80
% 45.60/7.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 45.60/7.80
% 45.60/7.80 % ------ iProver source info
% 45.60/7.80
% 45.60/7.80 % git: date: 2026-07-19 20:42:38 +0200
% 45.60/7.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 45.60/7.80 % git: non_committed_changes: false
% 45.60/7.80
% 45.60/7.80 % ------ Parsing...% successful
% 45.60/7.80
% 45.60/7.80
% 45.60/7.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 45.60/7.80
% 45.60/7.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 45.60/7.80
% 45.60/7.80 % ------ Preprocessing...%
% 45.60/7.80
% 45.60/7.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 45.60/7.80 % ------ Proving...
% 45.60/7.80 % ------ Problem Properties
% 45.60/7.80
% 45.60/7.80 %
% 45.60/7.80 % clauses 38
% 45.60/7.80 % conjectures 1
% 45.60/7.80 % EPR 0
% 45.60/7.80 % Horn 38
% 45.60/7.80 % unary 23
% 45.60/7.80 % binary 15
% 45.60/7.80 % lits 53
% 45.60/7.80 % lits eq 20
% 45.60/7.80 % fd_pure 0
% 45.60/7.80 % fd_pseudo 0
% 45.60/7.80 % fd_cond 0
% 45.60/7.80 % fd_pseudo_cond 0
% 45.60/7.80 % AC symbols 0
% 45.60/7.80
% 45.60/7.80 % ------ Input Options Time Limit: Unbounded
% 45.60/7.80
% 45.60/7.80
% 45.60/7.80 % ------
% 45.60/7.80 % Current options:
% 45.60/7.80 % ------
% 45.60/7.80
% 45.60/7.80
% 45.60/7.80 %
% 45.60/7.80
% 45.60/7.80 % ------ Proving...
% 45.60/7.80 %
% 45.60/7.80
% 45.60/7.80 % SZS status Unsatisfiable for theBenchmark.p
% 45.60/7.80
% 45.60/7.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 45.60/7.80
% 45.60/7.80
%------------------------------------------------------------------------------