%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV052-1.002.001 : TPTP v9.2.1. Released v4.1.0.
% 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 : n011.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 04:29:13 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 16 unt; 11 nHn; 6 RR)
% Number of literals : 40 ( 39 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(bit_inverse,axiom,
inv(X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bit_inverse) ).
cnf(bit_domain,axiom,
( X1 = o
| X1 = i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bit_domain) ).
cnf(unpack2_05,axiom,
unpack2(X1,inv(X2),pack1(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_05) ).
cnf(unpack2,axiom,
unpack2(X1,X2,pack1(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2) ).
cnf(unpack2_06,axiom,
unpack2(X1,X2,inv(pack1(X1,X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unpack2_06) ).
cnf(c_0_5,axiom,
inv(X1) != X1,
bit_inverse ).
cnf(c_0_6,axiom,
( X1 = o
| X1 = i ),
bit_domain ).
cnf(c_0_7,axiom,
unpack2(X1,inv(X2),pack1(X1,X2)) = X2,
unpack2_05 ).
cnf(c_0_8,plain,
inv(i) = o,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,plain,
( X1 = o
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_10,plain,
unpack2(X1,o,pack1(X1,i)) = i,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( inv(o) = X1
| X1 = o ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9])]) ).
cnf(c_0_12,plain,
i != o,
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_13,plain,
inv(o) = i,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_10]),c_0_12]) ).
cnf(c_0_14,plain,
( inv(X1) = i
| X2 = o
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_15,axiom,
unpack2(X1,X2,pack1(X1,X2)) = X2,
unpack2 ).
cnf(c_0_16,axiom,
unpack2(X1,X2,inv(pack1(X1,X2))) = X2,
unpack2_06 ).
cnf(c_0_17,plain,
( inv(X1) = i
| X1 = i ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_14]),c_0_10]),c_0_12]) ).
cnf(c_0_18,plain,
( unpack2(X1,X2,i) = X2
| pack1(X1,X2) = o ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_19,plain,
( unpack2(X1,inv(X2),i) = X2
| pack1(X1,X2) = o ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_20,plain,
( unpack2(X1,X2,i) = X2
| pack1(X1,X2) = i ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( pack1(X1,inv(X2)) = o
| pack1(X1,X2) = o ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_5]) ).
cnf(c_0_22,plain,
( pack1(X1,inv(X2)) = i
| pack1(X1,X2) = o ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_5]) ).
cnf(c_0_23,plain,
pack1(X1,X2) = o,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12]) ).
cnf(c_0_24,plain,
unpack2(X1,i,pack1(X1,o)) = o,
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_25,plain,
unpack2(X1,X2,o) = X2,
inference(rw,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23]),c_0_25]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HWV052-1.002.001 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n011.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 19:17:47 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------