%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:02:06 PM UTC 2026
% Result : Unsatisfiable 23.39s 4.12s
% Output : CNFRefutation 23.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 20 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 9 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_real__mult__less__iff1_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__iff1_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_real__mult__assoc_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__assoc_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_8,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_9,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__mult__less__iff1_1]) ).
cnf(c_0_10,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_11,axiom,
c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
cls_Suc__eq__plus1_0 ).
cnf(c_0_12,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0 ).
cnf(c_0_13,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_8 ).
cnf(c_0_14,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
cls_real__mult__1_0 ).
cnf(c_0_15,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__mult__assoc_0 ).
cnf(c_0_16,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_9 ).
cnf(c_0_17,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_18,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11]),c_0_12]),c_0_12]),c_0_14]) ).
cnf(c_0_19,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]),c_0_15]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_22,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_15]),c_0_12]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:22:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 23.39/4.12 % Version: 3.5.1
% 23.39/4.12 % Preprocessing class: FMLSSMSMSSSNFFN.
% 23.39/4.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.39/4.12 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 23.39/4.12 % Starting new_bool_3 with 600s (2) cores
% 23.39/4.12 % Starting new_bool_1 with 600s (2) cores
% 23.39/4.12 % Starting sh5l with 300s (1) cores
% 23.39/4.12 % new_bool_1 with pid 2368241 completed with status 0
% 23.39/4.12 % Result found by new_bool_1
% 23.39/4.12 % Preprocessing class: FMLSSMSMSSSNFFN.
% 23.39/4.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.39/4.12 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 23.39/4.12 % Starting new_bool_3 with 600s (2) cores
% 23.39/4.12 % Starting new_bool_1 with 600s (2) cores
% 23.39/4.12 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 23.39/4.12 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.39/4.12 % Search class: FGHSM-FSLM32-DFFFFFNN
% 23.39/4.12 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 23.39/4.12 % Starting SubtermCWHack with 55s (1) cores
% 23.39/4.12 % Starting new_bool_1 with 61s (1) cores
% 23.39/4.12 % new_bool_1 with pid 2368250 completed with status 0
% 23.39/4.12 % Result found by new_bool_1
% 23.39/4.12 % Preprocessing class: FMLSSMSMSSSNFFN.
% 23.39/4.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.39/4.12 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 23.39/4.12 % Starting new_bool_3 with 600s (2) cores
% 23.39/4.12 % Starting new_bool_1 with 600s (2) cores
% 23.39/4.12 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 23.39/4.12 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.39/4.12 % Search class: FGHSM-FSLM32-DFFFFFNN
% 23.39/4.12 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 23.39/4.12 % Starting SubtermCWHack with 55s (1) cores
% 23.39/4.12 % Starting new_bool_1 with 61s (1) cores
% 23.39/4.12 % Preprocessing time : 0.017 s
% 23.39/4.12 % Presaturation interreduction done
% 23.39/4.12
% 23.39/4.12 % Proof found!
% 23.39/4.12 % SZS status Unsatisfiable
% 23.39/4.12 % SZS output start CNFRefutation
% See solution above
% 23.39/4.12 % Parsed axioms : 1232
% 23.39/4.12 % Removed by relevancy pruning/SinE : 625
% 23.39/4.12 % Initial clauses : 607
% 23.39/4.12 % Removed in clause preprocessing : 0
% 23.39/4.12 % Initial clauses in saturation : 607
% 23.39/4.12 % Processed clauses : 16682
% 23.39/4.12 % ...of these trivial : 1923
% 23.39/4.12 % ...subsumed : 11555
% 23.39/4.12 % ...remaining for further processing : 3204
% 23.39/4.12 % Other redundant clauses eliminated : 831
% 23.39/4.12 % Clauses deleted for lack of memory : 0
% 23.39/4.12 % Backward-subsumed : 82
% 23.39/4.12 % Backward-rewritten : 184
% 23.39/4.12 % Generated clauses : 134715
% 23.39/4.12 % ...of the previous two non-redundant : 117921
% 23.39/4.12 % ...aggressively subsumed : 0
% 23.39/4.12 % Contextual simplify-reflections : 6
% 23.39/4.12 % Paramodulations : 133849
% 23.39/4.12 % Factorizations : 12
% 23.39/4.12 % NegExts : 0
% 23.39/4.12 % Equation resolutions : 854
% 23.39/4.12 % Disequality decompositions : 0
% 23.39/4.12 % Total rewrite steps : 246490
% 23.39/4.12 % ...of those cached : 218297
% 23.39/4.12 % Propositional unsat checks : 0
% 23.39/4.12 % Propositional check models : 0
% 23.39/4.12 % Propositional check unsatisfiable : 0
% 23.39/4.12 % Propositional clauses : 0
% 23.39/4.12 % Propositional clauses after purity: 0
% 23.39/4.12 % Propositional unsat core size : 0
% 23.39/4.12 % Propositional preprocessing time : 0.000
% 23.39/4.12 % Propositional encoding time : 0.000
% 23.39/4.12 % Propositional solver time : 0.000
% 23.39/4.12 % Success case prop preproc time : 0.000
% 23.39/4.12 % Success case prop encoding time : 0.000
% 23.39/4.12 % Success case prop solver time : 0.000
% 23.39/4.12 % Current number of processed clauses : 2531
% 23.39/4.12 % Positive orientable unit clauses : 876
% 23.39/4.12 % Positive unorientable unit clauses: 15
% 23.39/4.12 % Negative unit clauses : 394
% 23.39/4.12 % Non-unit-clauses : 1246
% 23.39/4.12 % Current number of unprocessed clauses: 101310
% 23.39/4.12 % ...number of literals in the above : 200562
% 23.39/4.12 % Current number of archived formulas : 0
% 23.39/4.12 % Current number of archived clauses : 673
% 23.39/4.12 % Clause-clause subsumption calls (NU) : 193058
% 23.39/4.12 % Rec. Clause-clause subsumption calls : 141511
% 23.39/4.12 % Non-unit clause-clause subsumptions : 3256
% 23.39/4.12 % Unit Clause-clause subsumption calls : 60804
% 23.39/4.12 % Rewrite failures with RHS unbound : 0
% 23.39/4.12 % BW rewrite match attempts : 28913
% 23.39/4.12 % BW rewrite match successes : 1243
% 23.39/4.12 % Condensation attempts : 0
% 23.39/4.12 % Condensation successes : 0
% 23.39/4.12 % Termbank termtop insertions : 3486312
% 23.39/4.12 % Search garbage collected termcells : 3385
% 23.39/4.12
% 23.39/4.12 % -------------------------------------------------
% 23.39/4.12 % User time : 2.854 s
% 23.39/4.12 % System time : 0.130 s
% 23.39/4.12 % Total time : 2.984 s
% 23.39/4.12 % Maximum resident set size: 5264 pages
% 23.39/4.12
% 23.39/4.12 % -------------------------------------------------
% 23.39/4.12 % User time : 5.777 s
% 23.39/4.12 % System time : 0.243 s
% 23.39/4.12 % Total time : 6.019 s
% 23.39/4.12 % Maximum resident set size: 5376 pages
% 23.39/4.12 % E exiting
%------------------------------------------------------------------------------