%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV028-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 04:29:01 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 26 ( 5 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_26,axiom,
( int_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_26) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_13,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(quest_3,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_2,negated_conjecture,
gt(level(plus(t_139,n1)),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_1,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(c_0_7,axiom,
( int_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
axiom_26 ).
cnf(c_0_8,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_9,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_10,negated_conjecture,
gt(fifo_length,n0),
quest_3 ).
cnf(c_0_11,negated_conjecture,
gt(level(plus(t_139,n1)),fifo_length),
quest_2 ).
cnf(c_0_12,plain,
( level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
p_Reset(t_139),
quest_1 ).
cnf(c_0_14,negated_conjecture,
( gt(X1,n0)
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
gt(n0,fifo_length),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV028-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:11:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------