TSTP Solution File: SWV686-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV686-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:07:38 EDT 2023
% Result : Unsatisfiable 47.73s 6.54s
% Output : CNFRefutation 47.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 25 unt; 0 nHn; 21 RR)
% Number of literals : 54 ( 28 equ; 25 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-5 aty)
% Number of variables : 85 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_class__ringb_Oadd__r0__iff_0) ).
cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_class__semiring_Osemiring__rules_I2_J_0) ).
cnf(cls_mult__1__right_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1)) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_mult__1__right_0) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(cls_one__neq__zero_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_one__neq__zero_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_COMBS__def_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_COMBB__def_0) ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p',cls_COMBI__def_0) ).
cnf(c_0_13,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
cls_class__ringb_Oadd__r0__iff_0 ).
cnf(c_0_14,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I2_J_0 ).
cnf(c_0_15,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1)) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_mult__1__right_0 ).
cnf(c_0_16,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult ).
cnf(c_0_17,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_one__neq__zero_0 ).
cnf(c_0_18,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one ).
cnf(c_0_19,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),c_HOL_Oone__class_Oone(X2))),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Int_Onumber__ring ).
cnf(c_0_22,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oidom ).
cnf(c_0_23,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_24,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I24_J_0 ).
cnf(c_0_26,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) != X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_27,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_28,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_29,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_30,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),X1) != X1,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),X4),X5,X6,X7,X8),X9) = hAPP(X4,hAPP(X9,hAPP(X5,X9))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),X4,X5,X6,X7),X8) != hAPP(X8,hAPP(X4,X8)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0 ).
cnf(c_0_34,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),c_COMBI(X4),X5,X6,X7),X8) != hAPP(X8,X8),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,plain,
$false,
inference(er,[status(thm)],[c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV686-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 03:44:12 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.sEproQDvmY/E---3.1_30637.p
% 47.73/6.54 # Version: 3.1pre001
% 47.73/6.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.73/6.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.73/6.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.73/6.54 # Starting new_bool_3 with 300s (1) cores
% 47.73/6.54 # Starting new_bool_1 with 300s (1) cores
% 47.73/6.54 # Starting sh5l with 300s (1) cores
% 47.73/6.54 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30714 completed with status 0
% 47.73/6.54 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.73/6.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.73/6.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.73/6.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.73/6.54 # No SInE strategy applied
% 47.73/6.54 # Search class: FGHSM-FSLM31-DFFFFFNN
% 47.73/6.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.73/6.54 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 47.73/6.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.73/6.54 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 47.73/6.54 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 47.73/6.54 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 47.73/6.54 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 30724 completed with status 0
% 47.73/6.54 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 47.73/6.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 47.73/6.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.73/6.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.73/6.54 # No SInE strategy applied
% 47.73/6.54 # Search class: FGHSM-FSLM31-DFFFFFNN
% 47.73/6.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.73/6.54 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 47.73/6.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 47.73/6.54 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 47.73/6.54 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 47.73/6.54 # Preprocessing time : 0.132 s
% 47.73/6.54
% 47.73/6.54 # Proof found!
% 47.73/6.54 # SZS status Unsatisfiable
% 47.73/6.54 # SZS output start CNFRefutation
% See solution above
% 47.73/6.54 # Parsed axioms : 566
% 47.73/6.54 # Removed by relevancy pruning/SinE : 0
% 47.73/6.54 # Initial clauses : 566
% 47.73/6.54 # Removed in clause preprocessing : 0
% 47.73/6.54 # Initial clauses in saturation : 566
% 47.73/6.54 # Processed clauses : 4549
% 47.73/6.54 # ...of these trivial : 89
% 47.73/6.54 # ...subsumed : 2899
% 47.73/6.54 # ...remaining for further processing : 1561
% 47.73/6.54 # Other redundant clauses eliminated : 25
% 47.73/6.54 # Clauses deleted for lack of memory : 0
% 47.73/6.54 # Backward-subsumed : 50
% 47.73/6.54 # Backward-rewritten : 19
% 47.73/6.54 # Generated clauses : 168303
% 47.73/6.54 # ...of the previous two non-redundant : 163070
% 47.73/6.54 # ...aggressively subsumed : 0
% 47.73/6.54 # Contextual simplify-reflections : 10
% 47.73/6.54 # Paramodulations : 168227
% 47.73/6.54 # Factorizations : 18
% 47.73/6.54 # NegExts : 0
% 47.73/6.54 # Equation resolutions : 58
% 47.73/6.54 # Total rewrite steps : 57808
% 47.73/6.54 # Propositional unsat checks : 0
% 47.73/6.54 # Propositional check models : 0
% 47.73/6.54 # Propositional check unsatisfiable : 0
% 47.73/6.54 # Propositional clauses : 0
% 47.73/6.54 # Propositional clauses after purity: 0
% 47.73/6.54 # Propositional unsat core size : 0
% 47.73/6.54 # Propositional preprocessing time : 0.000
% 47.73/6.54 # Propositional encoding time : 0.000
% 47.73/6.54 # Propositional solver time : 0.000
% 47.73/6.54 # Success case prop preproc time : 0.000
% 47.73/6.54 # Success case prop encoding time : 0.000
% 47.73/6.54 # Success case prop solver time : 0.000
% 47.73/6.54 # Current number of processed clauses : 1492
% 47.73/6.54 # Positive orientable unit clauses : 130
% 47.73/6.54 # Positive unorientable unit clauses: 29
% 47.73/6.54 # Negative unit clauses : 74
% 47.73/6.54 # Non-unit-clauses : 1259
% 47.73/6.54 # Current number of unprocessed clauses: 158784
% 47.73/6.54 # ...number of literals in the above : 576993
% 47.73/6.54 # Current number of archived formulas : 0
% 47.73/6.54 # Current number of archived clauses : 69
% 47.73/6.54 # Clause-clause subsumption calls (NU) : 163846
% 47.73/6.54 # Rec. Clause-clause subsumption calls : 60545
% 47.73/6.54 # Non-unit clause-clause subsumptions : 1763
% 47.73/6.54 # Unit Clause-clause subsumption calls : 3584
% 47.73/6.54 # Rewrite failures with RHS unbound : 0
% 47.73/6.54 # BW rewrite match attempts : 3601
% 47.73/6.54 # BW rewrite match successes : 176
% 47.73/6.54 # Condensation attempts : 0
% 47.73/6.54 # Condensation successes : 0
% 47.73/6.54 # Termbank termtop insertions : 5637877
% 47.73/6.54
% 47.73/6.54 # -------------------------------------------------
% 47.73/6.54 # User time : 5.713 s
% 47.73/6.54 # System time : 0.164 s
% 47.73/6.54 # Total time : 5.877 s
% 47.73/6.54 # Maximum resident set size: 2840 pages
% 47.73/6.54
% 47.73/6.54 # -------------------------------------------------
% 47.73/6.54 # User time : 28.579 s
% 47.73/6.54 # System time : 0.826 s
% 47.73/6.54 # Total time : 29.405 s
% 47.73/6.54 # Maximum resident set size: 2152 pages
% 47.73/6.54 % E---3.1 exiting
%------------------------------------------------------------------------------