%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV849-1 : 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 : n021.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 05:27:32 PM UTC 2026
% Result : Unsatisfiable 4.01s 3.27s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 53 ( 17 unt; 10 nHn; 51 RR)
% Number of literals : 127 ( 12 equ; 71 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 51 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(v_ba,v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_3,negated_conjecture,
v_ba = v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_16,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X4)),v_G))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).
cnf(cls_conjecture_5,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
v_ca = v_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_17,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(X4,v_n(X4),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_na,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_14,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_14) ).
cnf(cls_conjecture_15,negated_conjecture,
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_15) ).
cnf(cls_conjecture_12,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
cnf(cls_conjecture_7,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_13,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(v_ba,v_s0)),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
v_ba = v_b,
cls_conjecture_3 ).
cnf(c_0_17,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X4)),v_G))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
cls_conjecture_16 ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
cls_conjecture_5 ).
cnf(c_0_19,negated_conjecture,
hBOOL(hAPP(v_b,v_s0)),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
cls_conjecture_1 ).
cnf(c_0_21,negated_conjecture,
v_ca = v_c,
cls_conjecture_4 ).
cnf(c_0_22,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(X4,v_n(X4),t_a) ),
cls_conjecture_17 ).
cnf(c_0_23,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_na,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
cls_conjecture_6 ).
cnf(c_0_24,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_25,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_G))
| hBOOL(hAPP(hAPP(v_P,v_xb),X2))
| ~ c_Natural_Oevaln(v_c,v_s0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,negated_conjecture,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| ~ c_Hoare__Mirabelle_Otriple__valid(X2,v_n(X2),t_a)
| ~ c_Natural_Oevaln(v_c,v_s0,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_19])]) ).
cnf(c_0_28,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_na,X1,t_a)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0 ).
cnf(c_0_30,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
| hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
cls_conjecture_14 ).
cnf(c_0_32,negated_conjecture,
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
cls_conjecture_15 ).
cnf(c_0_33,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| ~ c_Natural_Oevaln(v_c,v_s0,v_na,X1)
| ~ hBOOL(hAPP(v_G,v_n(v_na))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| hBOOL(hAPP(v_G,v_n(v_na))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_16]),c_0_21])]) ).
cnf(c_0_36,negated_conjecture,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_16]),c_0_21])]) ).
cnf(c_0_37,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
cls_conjecture_12 ).
cnf(c_0_38,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| ~ c_Natural_Oevaln(v_c,v_s0,v_na,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
cls_conjecture_7 ).
cnf(c_0_40,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ hBOOL(hAPP(v_G,v_xa)) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(v_G,v_xa)) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_42,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
cls_conjecture_13 ).
cnf(c_0_43,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| hBOOL(hAPP(hAPP(v_P,X1),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_16]),c_0_21])]) ).
cnf(c_0_44,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)),
inference(spm,[status(thm)],[c_0_38,c_0_26]) ).
cnf(c_0_45,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| ~ hBOOL(hAPP(v_G,v_xa)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X1),v_s1))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_16]),c_0_21])]) ).
cnf(c_0_47,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
~ hBOOL(hAPP(v_G,v_xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_47]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ hBOOL(hAPP(v_b,v_s2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_49]),c_0_48]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV849-1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 06:06:10 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.01/3.27 % Version : CSE_E---1.7
% 4.01/3.27 % Problem : theBenchmark.p
% 4.01/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.01/3.27 % SZS output start CNFRefutation
% See solution above
% 4.01/3.28 % Total time : 2.426s
%------------------------------------------------------------------------------