%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV016-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:28:56 PM UTC 2026
% Result : Unsatisfiable 1.74s 1.86s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of clauses : 80 ( 24 unt; 35 nHn; 68 RR)
% Number of literals : 216 ( 44 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_42,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| p_Wr_error(plus(X1,n1))
| ~ p_Wr(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_42) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_34,axiom,
( p_Reset(X1)
| p_Rd(X1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1))
| ~ p_Wr_error(plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_34) ).
cnf(axiom_51,axiom,
( p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_51) ).
cnf(axiom_29,axiom,
( ~ p_Reset(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_29) ).
cnf(axiom_44,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_44) ).
cnf(axiom_82,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
cnf(axiom_35,axiom,
( p_Reset(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_35) ).
cnf(quest_2,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_3,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_25,axiom,
( int_level(X1) = n0
| ~ p_Empty(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_25) ).
cnf(quest_4,negated_conjecture,
p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
cnf(quest_5,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
cnf(axiom_53,axiom,
( p_Reset(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_53) ).
cnf(axiom_24,axiom,
( p_Empty(X1)
| int_level(X1) != n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
cnf(axiom_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(axiom_10,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_10) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_8,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
cnf(axiom_13,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(axiom_59,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_59) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(c_0_24,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| p_Wr_error(plus(X1,n1))
| ~ p_Wr(X1) ),
axiom_42 ).
cnf(c_0_25,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_26,axiom,
( p_Reset(X1)
| p_Rd(X1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1))
| ~ p_Wr_error(plus(X1,n1)) ),
axiom_34 ).
cnf(c_0_27,axiom,
( p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
axiom_51 ).
cnf(c_0_28,axiom,
( ~ p_Reset(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
axiom_29 ).
cnf(c_0_29,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1) ),
axiom_44 ).
cnf(c_0_30,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
axiom_82 ).
cnf(c_0_31,axiom,
( p_Reset(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1)) ),
axiom_35 ).
cnf(c_0_32,plain,
( p_Reset(X1)
| p_Rd(X1)
| p_Wr_error(plus(X1,n1))
| gt(fifo_length,level(X1))
| ~ p_Wr(X1) ),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
p_Wr(t_139),
quest_2 ).
cnf(c_0_34,negated_conjecture,
~ p_Reset(t_139),
quest_3 ).
cnf(c_0_35,plain,
( p_Reset(X1)
| p_Rd(X1)
| ~ p_Wr(X1)
| ~ p_Wr_error(plus(X1,n1))
| ~ gt(fifo_length,level(X1)) ),
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_36,plain,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
inference(csr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,level(X1))
| ~ p_Wr(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_38,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_25]),c_0_25]) ).
cnf(c_0_39,axiom,
( int_level(X1) = n0
| ~ p_Empty(X1) ),
axiom_25 ).
cnf(c_0_40,plain,
( level(plus(X1,n1)) = plus(level(X1),n1)
| p_Reset(X1)
| p_Rd(X1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,level(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_41,negated_conjecture,
( p_Rd(t_139)
| p_Wr_error(plus(t_139,n1))
| gt(fifo_length,level(t_139)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_42,plain,
( ~ p_Wr(X1)
| ~ p_Wr_error(plus(X1,n1))
| ~ gt(fifo_length,level(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_35,c_0_28]),c_0_36]) ).
cnf(c_0_43,plain,
( level(plus(X1,n1)) = level(X1)
| p_Rd(X1)
| p_Reset(X1)
| gt(fifo_length,level(X1)) ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( level(X1) = n0
| ~ p_Empty(X1) ),
inference(rw,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( level(plus(t_139,n1)) = plus(level(t_139),n1)
| p_Rd(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33])]),c_0_34]) ).
cnf(c_0_46,negated_conjecture,
p_Empty(plus(t_139,n1)),
quest_4 ).
cnf(c_0_47,axiom,
plus(X1,n1) != n0,
axiom_1 ).
cnf(c_0_48,plain,
( level(plus(X1,n1)) = level(X1)
| p_Rd(X1)
| ~ p_Wr_error(plus(X1,n1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_38]),c_0_28]) ).
cnf(c_0_49,negated_conjecture,
( p_Rd(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
gt(fifo_length,n0),
quest_5 ).
cnf(c_0_51,axiom,
( p_Reset(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_53 ).
cnf(c_0_52,axiom,
( p_Empty(X1)
| int_level(X1) != n0 ),
axiom_24 ).
cnf(c_0_53,negated_conjecture,
( level(plus(t_139,n1)) = level(t_139)
| p_Rd(t_139) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
( ~ p_Wr(X1)
| ~ p_Wr_error(plus(X1,n1))
| ~ p_Empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_44]),c_0_50])]) ).
cnf(c_0_55,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_56,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_57,plain,
( p_Empty(X1)
| level(X1) != n0 ),
inference(rw,[status(thm)],[c_0_52,c_0_25]) ).
cnf(c_0_58,negated_conjecture,
( level(t_139) = n0
| p_Rd(t_139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_46])]) ).
cnf(c_0_59,negated_conjecture,
( p_Rd(t_139)
| ~ p_Empty(t_139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_33])]) ).
cnf(c_0_60,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
axiom_10 ).
cnf(c_0_61,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_62,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_63,plain,
( level(plus(X1,n1)) = level(X1)
| level(X1) = n0
| p_Reset(X1)
| ~ p_Rd(X1)
| ~ p_Wr(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
p_Rd(t_139),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_65,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_66,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_67,plain,
( n0 = X1
| gt(n0,X1)
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
( gt(n1,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_69,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
axiom_59 ).
cnf(c_0_70,negated_conjecture,
( level(plus(t_139,n1)) = level(t_139)
| level(t_139) = n0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_33])]),c_0_34]) ).
cnf(c_0_71,plain,
( gt(X1,n0)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( gt(n0,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_47]) ).
cnf(c_0_73,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_74,plain,
( level(plus(X1,n1)) = plus(level(X1),n1)
| p_Reset(X1)
| gt(level(X1),n0)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_75,negated_conjecture,
level(t_139) = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_70]),c_0_46])]) ).
cnf(c_0_76,plain,
~ gt(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_77,negated_conjecture,
level(plus(t_139,n1)) = n1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_64]),c_0_33])]),c_0_34]),c_0_75]),c_0_61]),c_0_75]),c_0_76]) ).
cnf(c_0_78,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_47,c_0_61]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_77]),c_0_46])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV016-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 19:10:41 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.74/1.86 % Version : CSE_E---1.7
% 1.74/1.86 % Problem : theBenchmark.p
% 1.74/1.86 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.86 % SZS output start CNFRefutation
% See solution above
% 1.74/1.86 % Total time : 1.371s
%------------------------------------------------------------------------------