%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 08:42:36 AM UTC 2026
% Result : Unsatisfiable 38.63s 39.54s
% Output : Proof 38.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 41 ( 30 unt; 2 nHn; 39 RR)
% Number of literals : 66 ( 14 equ; 27 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
( X_29 = Y_30
| plus(X_29,n1) != plus(Y_30,n1) ),
file('HWV003-0.ax',axiom_18) ).
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32),
file('HWV003-0.ax',axiom_21) ).
cnf(axiom_29,axiom,
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('HWV003-0.ax',axiom_29) ).
cnf(axiom_34,axiom,
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ gt(fifo_length,int_level(X_t_42))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('HWV003-0.ax',axiom_34) ).
cnf(axiom_51,axiom,
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('HWV003-0.ax',axiom_51) ).
cnf(quest_1,negated_conjecture,
gt(fifo_length,level(t_139)),
file('theBenchmark.p',quest_1) ).
cnf(quest_2,negated_conjecture,
p_Wr(t_139),
file('theBenchmark.p',quest_2) ).
cnf(quest_3,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('theBenchmark.p',quest_3) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_11,axiom,
( gt(Eq_y_0,Eq_y_1)
| ~ gt(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
gt(fifo_length,level(t_139)),
inference(start,[status(thm),parent(0:0)],[quest_1]) ).
cnf(t2,plain,
( level(t_139) != int_level(t_139)
| gt(fifo_length,int_level(t_139))
| fifo_length != fifo_length
| ~ gt(fifo_length,level(t_139)) ),
inference(extension,[status(thm),parent(t1:1)],[equality_11]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( plus(fifo_length,n1) != plus(fifo_length,n1)
| fifo_length = fifo_length ),
inference(extension,[status(thm),parent(t2:2)],[axiom_18]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( plus(plus(fifo_length,n1),n1) != plus(plus(fifo_length,n1),n1)
| plus(fifo_length,n1) = plus(fifo_length,n1) ),
inference(extension,[status(thm),parent(t4:2)],[axiom_18]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
plus(plus(fifo_length,n1),n1) = plus(plus(fifo_length,n1),n1),
inference(extension,[status(thm),parent(t6:2)],[equality_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p_Wr(t_139)
| p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139)
| ~ gt(fifo_length,int_level(t_139)) ),
inference(extension,[status(thm),parent(t2:3)],[axiom_34]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Reset(t_139) ),
inference(extension,[status(thm),parent(t10:2)],[axiom_29]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p_Wr_error(plus(t_139,n1)),
inference(extension,[status(thm),parent(t12:2)],[quest_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(l6,lemma,
~ p_Reset(t_139),
inference(lemma,[status(cth),parent(t10:2),below(t2:3)],[t10:2]) ).
cnf(t16,plain,
p_Wr_error(plus(t_139,n1)),
inference(extension,[status(thm),parent(t10:3)],[quest_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:3]) ).
cnf(l8,lemma,
p_Wr_error(plus(t_139,n1)),
inference(lemma,[status(cth),parent(t10:3),below(t2:3)],[t10:3]) ).
cnf(t18,plain,
( ~ p_Wr(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139)
| ~ p_Rd(t_139) ),
inference(extension,[status(thm),parent(t10:4)],[axiom_51]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:4]) ).
cnf(t20,plain,
~ p_Reset(t_139),
inference(lemma_extension,[status(thm),parent(t18:2)],[l6:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p_Wr_error(plus(t_139,n1)),
inference(lemma_extension,[status(thm),parent(t18:3)],[l8:1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
p_Wr(t_139),
inference(extension,[status(thm),parent(t18:4)],[quest_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:4]) ).
cnf(t26,plain,
p_Wr(t_139),
inference(extension,[status(thm),parent(t10:5)],[quest_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t10:5]) ).
cnf(t28,plain,
level(t_139) = int_level(t_139),
inference(extension,[status(thm),parent(t2:4)],[axiom_21]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.98 % Computer : n004.cluster.edu
% 0.11/0.98 % Model : x86_64 x86_64
% 0.11/0.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.98 % Memory : 8046.5625MB
% 0.11/0.98 % OS : Linux 6.8.0-71-generic
% 0.11/0.99 % CPULimit : 300
% 0.11/0.99 % WCLimit : 300
% 0.11/0.99 % DateTime : Sat Sep 19 10:44:38 UTC 2026
% 0.11/0.99 % CPUTime :
% 38.63/39.54 % SZS status Unsatisfiable for theBenchmark
% 38.63/39.54 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------