%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV022-1 : 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 : n012.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 04:28:59 PM UTC 2026
% Result : Unsatisfiable 1.14s 1.62s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 64 ( 23 unt; 18 nHn; 55 RR)
% Number of literals : 140 ( 32 equ; 63 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 2 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_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(axiom_9,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_9) ).
cnf(quest_1,negated_conjecture,
plus(level(t_139),n1) = fifo_length,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_18,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_18) ).
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_5,axiom,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
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(quest_3,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_2,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_5,negated_conjecture,
level(plus(t_139,n1)) != fifo_length,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(axiom_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(axiom_3,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(axiom_6,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
cnf(c_0_20,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_21,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_22,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_23,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
axiom_9 ).
cnf(c_0_24,negated_conjecture,
plus(level(t_139),n1) = fifo_length,
quest_1 ).
cnf(c_0_25,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
axiom_18 ).
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,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
axiom_5 ).
cnf(c_0_30,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_31,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_20,c_0_21]) ).
cnf(c_0_32,negated_conjecture,
p_Wr(t_139),
quest_3 ).
cnf(c_0_33,negated_conjecture,
~ p_Rd(t_139),
quest_2 ).
cnf(c_0_34,negated_conjecture,
~ p_Reset(t_139),
quest_4 ).
cnf(c_0_35,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_22,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( gt(X1,level(t_139))
| ~ gt(plus(X1,n1),fifo_length) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_37,negated_conjecture,
level(plus(t_139,n1)) != fifo_length,
quest_5 ).
cnf(c_0_38,negated_conjecture,
( X1 = level(t_139)
| plus(X1,n1) != fifo_length ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_39,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_40,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_41,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_21]) ).
cnf(c_0_42,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_43,plain,
( minus(plus(X1,X2),X2) = X1
| def_10(X2,plus(X1,X2)) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_44,negated_conjecture,
( gt(plus(X1,n1),fifo_length)
| ~ gt(X1,level(t_139)) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_45,negated_conjecture,
( p_Wr_error(plus(t_139,n1))
| gt(fifo_length,level(t_139)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_46,negated_conjecture,
~ gt(plus(fifo_length,n1),fifo_length),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24]),c_0_32])]),c_0_37]),c_0_33]),c_0_34]) ).
cnf(c_0_47,negated_conjecture,
( gt(fifo_length,plus(X1,n1))
| ~ gt(level(t_139),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_48,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_49,negated_conjecture,
( level(t_139) = n0
| fifo_length != n1 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_50,negated_conjecture,
gt(fifo_length,n0),
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
cnf(c_0_51,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_41,c_0_28]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( level(t_139) = minus(fifo_length,n1)
| def_10(n1,fifo_length) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
cnf(c_0_53,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( level(t_139) = n0
| gt(fifo_length,n1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39]) ).
cnf(c_0_55,negated_conjecture,
( level(plus(t_139,n1)) = n1
| fifo_length != n1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_39]),c_0_32]),c_0_50])]),c_0_33]),c_0_34]) ).
cnf(c_0_56,negated_conjecture,
( def_10(n1,fifo_length)
| ~ gt(fifo_length,minus(fifo_length,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32]),c_0_53])]) ).
cnf(c_0_57,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
axiom_3 ).
cnf(c_0_58,negated_conjecture,
( fifo_length = n1
| gt(fifo_length,n1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_54]),c_0_39]) ).
cnf(c_0_59,negated_conjecture,
fifo_length != n1,
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_60,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
axiom_6 ).
cnf(c_0_61,negated_conjecture,
def_10(n1,fifo_length),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50])]) ).
cnf(c_0_62,negated_conjecture,
gt(fifo_length,n1),
inference(sr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : HWV022-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 19:11:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.14/1.62 % Version : CSE_E---1.7
% 1.14/1.62 % Problem : theBenchmark.p
% 1.14/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.14/1.62 % SZS output start CNFRefutation
% See solution above
% 1.14/1.62 % Total time : 1.361s
%------------------------------------------------------------------------------