%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:06:02 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 12 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_equality,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality) ).
cnf(middle_associator,axiom,
multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_associator) ).
cnf(associator,axiom,
associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
cnf(multiply_additive_inverse1,axiom,
multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse1) ).
cnf(c_0_4,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
inference(fof_simplification,[status(thm)],[prove_equality]) ).
cnf(c_0_5,axiom,
multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity,
middle_associator ).
cnf(c_0_6,axiom,
associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
associator ).
cnf(c_0_7,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
c_0_4 ).
cnf(c_0_8,plain,
multiply(multiply(add(multiply(multiply(X1,X1),X2),additive_inverse(multiply(X1,multiply(X1,X2)))),X1),add(multiply(multiply(X1,X1),X2),additive_inverse(multiply(X1,multiply(X1,X2))))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_9,axiom,
multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
multiply_additive_inverse1 ).
cnf(c_0_10,negated_conjecture,
multiply(multiply(add(multiply(multiply(a,a),b),additive_inverse(multiply(a,multiply(a,b)))),a),add(multiply(multiply(a,a),b),additive_inverse(multiply(a,multiply(a,b))))) != additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6]),c_0_6]) ).
cnf(c_0_11,plain,
multiply(multiply(add(multiply(multiply(X1,X1),X2),multiply(X1,multiply(X1,additive_inverse(X2)))),X1),add(multiply(multiply(X1,X1),X2),multiply(X1,multiply(X1,additive_inverse(X2))))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_9]),c_0_9]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n018.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 04:12:43 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 0.16/0.52 % Version: 3.5.1
% 0.16/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.52 % Starting sh5l with 300s (1) cores
% 0.16/0.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 941836 completed with status 0
% 0.16/0.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.52 % No SInE strategy applied
% 0.16/0.52 % Search class: FUUPM-FFSF21-DFFFFFNN
% 0.16/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.52 % Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.16/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.52 % G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with pid 941844 completed with status 0
% 0.16/0.52 % Result found by G-E--_201_C45_F1_AE_CS_SP_PI_S0Y
% 0.16/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.52 % No SInE strategy applied
% 0.16/0.52 % Search class: FUUPM-FFSF21-DFFFFFNN
% 0.16/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.52 % Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.16/0.52 % Preprocessing time : 0.002 s
% 0.16/0.52
% 0.16/0.52 % Proof found!
% 0.16/0.52 % SZS status Unsatisfiable
% 0.16/0.52 % SZS output start CNFRefutation
% See solution above
% 0.16/0.52 % Parsed axioms : 22
% 0.16/0.52 % Removed by relevancy pruning/SinE : 0
% 0.16/0.52 % Initial clauses : 22
% 0.16/0.52 % Removed in clause preprocessing : 2
% 0.16/0.52 % Initial clauses in saturation : 20
% 0.16/0.52 % Processed clauses : 21
% 0.16/0.52 % ...of these trivial : 1
% 0.16/0.52 % ...subsumed : 0
% 0.16/0.52 % ...remaining for further processing : 19
% 0.16/0.52 % Other redundant clauses eliminated : 0
% 0.16/0.52 % Clauses deleted for lack of memory : 0
% 0.16/0.52 % Backward-subsumed : 0
% 0.16/0.52 % Backward-rewritten : 1
% 0.16/0.52 % Generated clauses : 115
% 0.16/0.52 % ...of the previous two non-redundant : 56
% 0.16/0.52 % ...aggressively subsumed : 0
% 0.16/0.52 % Contextual simplify-reflections : 0
% 0.16/0.52 % Paramodulations : 115
% 0.16/0.52 % Factorizations : 0
% 0.16/0.52 % NegExts : 0
% 0.16/0.52 % Equation resolutions : 0
% 0.16/0.52 % Disequality decompositions : 0
% 0.16/0.52 % Total rewrite steps : 331
% 0.16/0.52 % ...of those cached : 266
% 0.16/0.52 % Propositional unsat checks : 0
% 0.16/0.52 % Propositional check models : 0
% 0.16/0.52 % Propositional check unsatisfiable : 0
% 0.16/0.52 % Propositional clauses : 0
% 0.16/0.52 % Propositional clauses after purity: 0
% 0.16/0.52 % Propositional unsat core size : 0
% 0.16/0.52 % Propositional preprocessing time : 0.000
% 0.16/0.52 % Propositional encoding time : 0.000
% 0.16/0.52 % Propositional solver time : 0.000
% 0.16/0.52 % Success case prop preproc time : 0.000
% 0.16/0.52 % Success case prop encoding time : 0.000
% 0.16/0.52 % Success case prop solver time : 0.000
% 0.16/0.52 % Current number of processed clauses : 18
% 0.16/0.52 % Positive orientable unit clauses : 16
% 0.16/0.52 % Positive unorientable unit clauses: 1
% 0.16/0.52 % Negative unit clauses : 1
% 0.16/0.52 % Non-unit-clauses : 0
% 0.16/0.52 % Current number of unprocessed clauses: 55
% 0.16/0.52 % ...number of literals in the above : 55
% 0.16/0.52 % Current number of archived formulas : 0
% 0.16/0.52 % Current number of archived clauses : 3
% 0.16/0.52 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.52 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.52 % Non-unit clause-clause subsumptions : 0
% 0.16/0.52 % Unit Clause-clause subsumption calls : 0
% 0.16/0.52 % Rewrite failures with RHS unbound : 0
% 0.16/0.52 % BW rewrite match attempts : 13
% 0.16/0.52 % BW rewrite match successes : 10
% 0.16/0.52 % Condensation attempts : 0
% 0.16/0.52 % Condensation successes : 0
% 0.16/0.52 % Termbank termtop insertions : 1818
% 0.16/0.52 % Search garbage collected termcells : 2
% 0.16/0.52
% 0.16/0.52 % -------------------------------------------------
% 0.16/0.52 % User time : 0.007 s
% 0.16/0.52 % System time : 0.004 s
% 0.16/0.52 % Total time : 0.011 s
% 0.16/0.52 % Maximum resident set size: 3644 pages
% 0.16/0.52
% 0.16/0.52 % -------------------------------------------------
% 0.16/0.52 % User time : 0.025 s
% 0.16/0.52 % System time : 0.015 s
% 0.16/0.52 % Total time : 0.040 s
% 0.16/0.52 % Maximum resident set size: 4864 pages
% 0.16/0.52 % E exiting
%------------------------------------------------------------------------------