%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:59:44 PM UTC 2026
% Result : Unsatisfiable 1.90s 0.74s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 14 unt; 3 nHn; 20 RR)
% Number of literals : 55 ( 26 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Opwr__0_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_minus__nat_Odiff__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_inverse__eq__divide_0,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(cls_nz_0,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
cnf(cls_nonzero__power__inverse_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Odivision__ring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
cnf(c_0_9,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1) ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Opwr__0_0]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1]) ).
cnf(c_0_11,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_12,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1) ),
c_0_9 ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
c_0_11 ).
cnf(c_0_15,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
cls_minus__nat_Odiff__0_0 ).
cnf(c_0_16,plain,
( ~ class_Ring__and__Field_Ofield(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_18,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oone__class_Oone(t_a),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_inverse__eq__divide_0]) ).
cnf(c_0_21,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(fof_simplification,[status(thm)],[cls_nz_0]) ).
cnf(c_0_22,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1) ),
c_0_20 ).
cnf(c_0_24,plain,
( ~ class_Ring__and__Field_Odivision__ring(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_nonzero__power__inverse_0]) ).
cnf(c_0_25,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
c_0_21 ).
cnf(c_0_26,negated_conjecture,
c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).
cnf(c_0_27,plain,
( ~ class_Ring__and__Field_Odivision__ring(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1) ),
c_0_24 ).
cnf(c_0_28,plain,
c_HOL_Ozero__class_Ozero(t_a) != v_a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17])]) ).
cnf(c_0_29,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Odivision__ring(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring]) ).
cnf(c_0_30,negated_conjecture,
~ class_Ring__and__Field_Odivision__ring(t_a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Odivision__ring(X1) ),
c_0_29 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:18:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/0.74 % Version: 3.5.1
% 1.90/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.90/0.74 % Starting new_bool_1 with 300s (1) cores
% 1.90/0.74 % Starting sh5l with 300s (1) cores
% 1.90/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1545669 completed with status 0
% 1.90/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.90/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.90/0.74 % No SInE strategy applied
% 1.90/0.74 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.90/0.74 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.90/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.90/0.74 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 1.90/0.74 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.90/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.90/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1545676 completed with status 0
% 1.90/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.90/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.90/0.74 % No SInE strategy applied
% 1.90/0.74 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.90/0.74 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.90/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.90/0.74 % Preprocessing time : 0.011 s
% 1.90/0.74 % Presaturation interreduction done
% 1.90/0.74
% 1.90/0.74 % Proof found!
% 1.90/0.74 % SZS status Unsatisfiable
% 1.90/0.74 % SZS output start CNFRefutation
% See solution above
% 1.90/0.74 % Parsed axioms : 685
% 1.90/0.74 % Removed by relevancy pruning/SinE : 0
% 1.90/0.74 % Initial clauses : 685
% 1.90/0.74 % Removed in clause preprocessing : 0
% 1.90/0.74 % Initial clauses in saturation : 685
% 1.90/0.74 % Processed clauses : 1577
% 1.90/0.74 % ...of these trivial : 48
% 1.90/0.74 % ...subsumed : 449
% 1.90/0.74 % ...remaining for further processing : 1080
% 1.90/0.74 % Other redundant clauses eliminated : 74
% 1.90/0.74 % Clauses deleted for lack of memory : 0
% 1.90/0.74 % Backward-subsumed : 7
% 1.90/0.74 % Backward-rewritten : 4
% 1.90/0.74 % Generated clauses : 7507
% 1.90/0.74 % ...of the previous two non-redundant : 6354
% 1.90/0.74 % ...aggressively subsumed : 0
% 1.90/0.74 % Contextual simplify-reflections : 6
% 1.90/0.74 % Paramodulations : 7415
% 1.90/0.74 % Factorizations : 10
% 1.90/0.74 % NegExts : 0
% 1.90/0.74 % Equation resolutions : 82
% 1.90/0.74 % Disequality decompositions : 0
% 1.90/0.74 % Total rewrite steps : 2436
% 1.90/0.74 % ...of those cached : 2230
% 1.90/0.74 % Propositional unsat checks : 0
% 1.90/0.74 % Propositional check models : 0
% 1.90/0.74 % Propositional check unsatisfiable : 0
% 1.90/0.74 % Propositional clauses : 0
% 1.90/0.74 % Propositional clauses after purity: 0
% 1.90/0.74 % Propositional unsat core size : 0
% 1.90/0.74 % Propositional preprocessing time : 0.000
% 1.90/0.74 % Propositional encoding time : 0.000
% 1.90/0.74 % Propositional solver time : 0.000
% 1.90/0.74 % Success case prop preproc time : 0.000
% 1.90/0.74 % Success case prop encoding time : 0.000
% 1.90/0.74 % Success case prop solver time : 0.000
% 1.90/0.74 % Current number of processed clauses : 588
% 1.90/0.74 % Positive orientable unit clauses : 81
% 1.90/0.74 % Positive unorientable unit clauses: 2
% 1.90/0.74 % Negative unit clauses : 16
% 1.90/0.74 % Non-unit-clauses : 489
% 1.90/0.74 % Current number of unprocessed clauses: 5943
% 1.90/0.74 % ...number of literals in the above : 25833
% 1.90/0.74 % Current number of archived formulas : 0
% 1.90/0.74 % Current number of archived clauses : 492
% 1.90/0.74 % Clause-clause subsumption calls (NU) : 124316
% 1.90/0.74 % Rec. Clause-clause subsumption calls : 37323
% 1.90/0.74 % Non-unit clause-clause subsumptions : 352
% 1.90/0.74 % Unit Clause-clause subsumption calls : 1440
% 1.90/0.74 % Rewrite failures with RHS unbound : 0
% 1.90/0.74 % BW rewrite match attempts : 227
% 1.90/0.74 % BW rewrite match successes : 4
% 1.90/0.74 % Condensation attempts : 0
% 1.90/0.74 % Condensation successes : 0
% 1.90/0.74 % Termbank termtop insertions : 155913
% 1.90/0.74 % Search garbage collected termcells : 1834
% 1.90/0.74
% 1.90/0.74 % -------------------------------------------------
% 1.90/0.74 % User time : 0.265 s
% 1.90/0.74 % System time : 0.013 s
% 1.90/0.74 % Total time : 0.278 s
% 1.90/0.74 % Maximum resident set size: 5164 pages
% 1.90/0.74
% 1.90/0.74 % -------------------------------------------------
% 1.90/0.74 % User time : 1.149 s
% 1.90/0.74 % System time : 0.058 s
% 1.90/0.74 % Total time : 1.208 s
% 1.90/0.74 % Maximum resident set size: 5376 pages
% 1.90/0.74 % E exiting
%------------------------------------------------------------------------------