%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:05:35 PM UTC 2026
% Result : Unsatisfiable 17.79s 2.79s
% Output : CNFRefutation 17.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 17 RR)
% Number of literals : 43 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_addition,axiom,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
cnf(distributivity1,axiom,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(additive_inverse2,axiom,
sum(X1,additive_inverse(X1),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
cnf(a_times_b,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
cnf(multiplicative_identity2,axiom,
product(X1,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
cnf(prove_sum_is_additive_identity,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
cnf(a_inverse_times_b,hypothesis,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).
cnf(c_0_7,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).
cnf(c_0_8,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
inference(fof_simplification,[status(thm)],[distributivity1]) ).
cnf(c_0_9,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
c_0_7 ).
cnf(c_0_10,axiom,
sum(X1,additive_inverse(X1),additive_identity),
additive_inverse2 ).
cnf(c_0_11,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
c_0_8 ).
cnf(c_0_12,plain,
sum(additive_inverse(X1),X1,additive_identity),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( ~ product(X4,X5,X2)
| ~ product(X4,additive_identity,X3)
| ~ product(X4,additive_inverse(X5),X1)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,hypothesis,
product(a,b,d),
a_times_b ).
cnf(c_0_15,hypothesis,
( ~ product(a,additive_identity,X2)
| ~ product(a,additive_inverse(b),X1)
| sum(X1,d,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
product(X1,additive_identity,additive_identity),
multiplicative_identity2 ).
cnf(c_0_17,negated_conjecture,
~ sum(c,d,additive_identity),
inference(fof_simplification,[status(thm)],[prove_sum_is_additive_identity]) ).
cnf(c_0_18,hypothesis,
( ~ product(a,additive_inverse(b),X1)
| sum(X1,d,additive_identity) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,hypothesis,
product(a,additive_inverse(b),c),
a_inverse_times_b ).
cnf(c_0_20,negated_conjecture,
~ sum(c,d,additive_identity),
c_0_17 ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:17:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 17.79/2.79 % Version: 3.5.1
% 17.79/2.79 % Preprocessing class: FSMSSMSSSSSNFFN.
% 17.79/2.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.79/2.79 % Starting new_bool_3 with 300s (1) cores
% 17.79/2.79 % Starting new_bool_1 with 300s (1) cores
% 17.79/2.79 % Starting sh5l with 300s (1) cores
% 17.79/2.79 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1343516 completed with status 0
% 17.79/2.79 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 17.79/2.79 % Preprocessing class: FSMSSMSSSSSNFFN.
% 17.79/2.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.79/2.79 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 17.79/2.79 % No SInE strategy applied
% 17.79/2.79 % Search class: FHUNM-FFMF21-SFFFFFNN
% 17.79/2.79 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 17.79/2.79 % Starting SubtermCWHack with 136s (1) cores
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 17.79/2.79 % Starting G-E--_107_C09_12_F1_PI_AE_Q4_CS_SP_PS_S064A with 136s (1) cores
% 17.79/2.79 % Starting new_bool_3 with 136s (1) cores
% 17.79/2.79 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 1343523 completed with status 0
% 17.79/2.79 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 17.79/2.79 % Preprocessing class: FSMSSMSSSSSNFFN.
% 17.79/2.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.79/2.79 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 17.79/2.79 % No SInE strategy applied
% 17.79/2.79 % Search class: FHUNM-FFMF21-SFFFFFNN
% 17.79/2.79 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 17.79/2.79 % Starting SubtermCWHack with 136s (1) cores
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 17.79/2.79 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 17.79/2.79 % Preprocessing time : 0.001 s
% 17.79/2.79 % Presaturation interreduction done
% 17.79/2.79
% 17.79/2.79 % Proof found!
% 17.79/2.79 % SZS status Unsatisfiable
% 17.79/2.79 % SZS output start CNFRefutation
% See solution above
% 17.79/2.79 % Parsed axioms : 29
% 17.79/2.79 % Removed by relevancy pruning/SinE : 0
% 17.79/2.79 % Initial clauses : 29
% 17.79/2.79 % Removed in clause preprocessing : 0
% 17.79/2.79 % Initial clauses in saturation : 29
% 17.79/2.79 % Processed clauses : 9908
% 17.79/2.79 % ...of these trivial : 3222
% 17.79/2.79 % ...subsumed : 2758
% 17.79/2.79 % ...remaining for further processing : 3928
% 17.79/2.79 % Other redundant clauses eliminated : 0
% 17.79/2.79 % Clauses deleted for lack of memory : 0
% 17.79/2.79 % Backward-subsumed : 177
% 17.79/2.79 % Backward-rewritten : 279
% 17.79/2.79 % Generated clauses : 378278
% 17.79/2.79 % ...of the previous two non-redundant : 307066
% 17.79/2.79 % ...aggressively subsumed : 0
% 17.79/2.79 % Contextual simplify-reflections : 0
% 17.79/2.79 % Paramodulations : 378278
% 17.79/2.79 % Factorizations : 0
% 17.79/2.79 % NegExts : 0
% 17.79/2.79 % Equation resolutions : 0
% 17.79/2.79 % Disequality decompositions : 0
% 17.79/2.79 % Total rewrite steps : 122946
% 17.79/2.79 % ...of those cached : 116493
% 17.79/2.79 % Propositional unsat checks : 0
% 17.79/2.79 % Propositional check models : 0
% 17.79/2.79 % Propositional check unsatisfiable : 0
% 17.79/2.79 % Propositional clauses : 0
% 17.79/2.79 % Propositional clauses after purity: 0
% 17.79/2.79 % Propositional unsat core size : 0
% 17.79/2.79 % Propositional preprocessing time : 0.000
% 17.79/2.79 % Propositional encoding time : 0.000
% 17.79/2.79 % Propositional solver time : 0.000
% 17.79/2.79 % Success case prop preproc time : 0.000
% 17.79/2.79 % Success case prop encoding time : 0.000
% 17.79/2.79 % Success case prop solver time : 0.000
% 17.79/2.79 % Current number of processed clauses : 3443
% 17.79/2.79 % Positive orientable unit clauses : 1717
% 17.79/2.79 % Positive unorientable unit clauses: 0
% 17.79/2.79 % Negative unit clauses : 1
% 17.79/2.79 % Non-unit-clauses : 1725
% 17.79/2.79 % Current number of unprocessed clauses: 295753
% 17.79/2.79 % ...number of literals in the above : 524390
% 17.79/2.79 % Current number of archived formulas : 0
% 17.79/2.79 % Current number of archived clauses : 485
% 17.79/2.79 % Clause-clause subsumption calls (NU) : 589911
% 17.79/2.79 % Rec. Clause-clause subsumption calls : 441313
% 17.79/2.79 % Non-unit clause-clause subsumptions : 2935
% 17.79/2.79 % Unit Clause-clause subsumption calls : 2481
% 17.79/2.79 % Rewrite failures with RHS unbound : 0
% 17.79/2.79 % BW rewrite match attempts : 37391
% 17.79/2.79 % BW rewrite match successes : 279
% 17.79/2.79 % Condensation attempts : 0
% 17.79/2.79 % Condensation successes : 0
% 17.79/2.79 % Termbank termtop insertions : 5480534
% 17.79/2.79 % Search garbage collected termcells : 90
% 17.79/2.79
% 17.79/2.79 % -------------------------------------------------
% 17.79/2.79 % User time : 2.164 s
% 17.79/2.79 % System time : 0.131 s
% 17.79/2.79 % Total time : 2.295 s
% 17.79/2.79 % Maximum resident set size: 3656 pages
% 17.79/2.79
% 17.79/2.79 % -------------------------------------------------
% 17.79/2.79 % User time : 10.566 s
% 17.79/2.79 % System time : 0.517 s
% 17.79/2.79 % Total time : 11.083 s
% 17.79/2.79 % Maximum resident set size: 4864 pages
% 17.79/2.79 % E exiting
%------------------------------------------------------------------------------