%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n014.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 : Sun Sep 27 08:25:18 AM UTC 2026
% Result : Unsatisfiable 5.12s 2.64s
% Output : Refutation 5.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 29
% Syntax : Number of formulae : 59 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 155 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 660 ( 98 ~; 96 |; 0 &; 466 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 206 ( 0 ^; 206 !; 0 ?; 206 :)
% Comments :
%------------------------------------------------------------------------------
thf(sum_decl,type,
sum: $i > $i > $i > $o ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(additive_identity_decl,type,
additive_identity: $i ).
thf(product_decl,type,
product: $i > $i > $i > $o ).
thf(equalish_decl,type,
equalish: $i > $i > $o ).
thf(multiply_decl,type,
multiply: $i > $i > $i ).
thf(add_decl,type,
add: $i > $i > $i ).
thf(additive_inverse_decl,type,
additive_inverse: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(13,axiom,
! [A: $i] : ( additive_identity @ ( A @ ( additive_identity @ product ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
thf(52,plain,
! [A: $i] : ( additive_identity @ ( A @ ( additive_identity @ product ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(19,axiom,
! [A: $i] : ( A @ ( additive_identity @ ( A @ sum ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
thf(61,plain,
! [A: $i] : ( A @ ( additive_identity @ ( A @ sum ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(18,axiom,
d @ ( b @ ( a @ product ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
thf(60,plain,
d @ ( b @ ( a @ product ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(14,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( E @ ( C @ sum ) ) )
| ~ ( G @ ( F @ ( A @ product ) ) )
| ~ ( F @ ( D @ ( B @ sum ) ) )
| ~ ( E @ ( D @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
thf(53,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( E @ ( C @ sum ) ) )
| ~ ( G @ ( F @ ( A @ product ) ) )
| ~ ( F @ ( D @ ( B @ sum ) ) )
| ~ ( E @ ( D @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ multiply ) @ ( C @ ( A @ multiply ) @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_substitution1) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ multiply ) @ ( C @ ( A @ multiply ) @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(26,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ sum ) ) )
| ~ ( D @ ( C @ ( A @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution1) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ sum ) ) )
| ~ ( D @ ( C @ ( A @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
c @ ( b @ additive_inverse @ ( a @ product ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
thf(59,plain,
c @ ( b @ additive_inverse @ ( a @ product ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ additive_inverse @ ( A @ additive_inverse @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_substitution) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B @ additive_inverse @ ( A @ additive_inverse @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(15,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ sum ) ) )
| ~ ( F @ ( E @ ( A @ sum ) ) )
| ~ ( E @ ( D @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
thf(55,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ sum ) ) )
| ~ ( F @ ( E @ ( A @ sum ) ) )
| ~ ( E @ ( D @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(27,axiom,
! [A: $i] : ( additive_identity @ ( additive_identity @ ( A @ product ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
thf(75,plain,
! [A: $i] : ( additive_identity @ ( additive_identity @ ( A @ product ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( A @ sum ) ) )
| ~ ( F @ ( D @ ( C @ sum ) ) )
| ~ ( E @ ( D @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
thf(57,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( A @ sum ) ) )
| ~ ( F @ ( D @ ( C @ sum ) ) )
| ~ ( E @ ( D @ ( B @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(29,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( B @ ( F @ product ) ) )
| ~ ( G @ ( E @ ( C @ sum ) ) )
| ~ ( F @ ( D @ ( A @ sum ) ) )
| ~ ( E @ ( B @ ( D @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
thf(78,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( B @ ( F @ product ) ) )
| ~ ( G @ ( E @ ( C @ sum ) ) )
| ~ ( F @ ( D @ ( A @ sum ) ) )
| ~ ( E @ ( B @ ( D @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(5,axiom,
! [B: $i,A: $i] : ( B @ ( A @ multiply ) @ ( B @ ( A @ product ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
thf(38,plain,
! [B: $i,A: $i] : ( B @ ( A @ multiply ) @ ( B @ ( A @ product ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ ( C @ sum ) ) )
| ~ ( A @ ( D @ ( C @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution3) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ ( C @ sum ) ) )
| ~ ( A @ ( D @ ( C @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ product ) ) )
| ~ ( F @ ( E @ ( A @ product ) ) )
| ~ ( E @ ( D @ ( B @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
thf(45,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( D @ ( C @ product ) ) )
| ~ ( F @ ( E @ ( A @ product ) ) )
| ~ ( E @ ( D @ ( B @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(21,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( A @ product ) ) )
| ~ ( G @ ( E @ ( C @ sum ) ) )
| ~ ( F @ ( D @ ( B @ sum ) ) )
| ~ ( E @ ( D @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
thf(64,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ ( A @ product ) ) )
| ~ ( G @ ( E @ ( C @ sum ) ) )
| ~ ( F @ ( D @ ( B @ sum ) ) )
| ~ ( E @ ( D @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(2,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( A @ product ) ) )
| ~ ( F @ ( D @ ( C @ product ) ) )
| ~ ( E @ ( D @ ( B @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1) ).
thf(32,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( A @ product ) ) )
| ~ ( F @ ( D @ ( C @ product ) ) )
| ~ ( E @ ( D @ ( B @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ product ) ) )
| ~ ( D @ ( C @ ( A @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution1) ).
thf(34,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ product ) ) )
| ~ ( D @ ( C @ ( A @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(28,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ sum ) ) )
| ~ ( D @ ( A @ ( C @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution2) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ sum ) ) )
| ~ ( D @ ( A @ ( C @ sum ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ ( C @ product ) ) )
| ~ ( A @ ( D @ ( C @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ ( C @ product ) ) )
| ~ ( A @ ( D @ ( C @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,axiom,
! [A: $i] : ( additive_identity @ ( A @ additive_inverse @ ( A @ sum ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
thf(72,plain,
! [A: $i] : ( additive_identity @ ( A @ additive_inverse @ ( A @ sum ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ product ) ) )
| ~ ( D @ ( A @ ( C @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution2) ).
thf(43,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ product ) ) )
| ~ ( D @ ( A @ ( C @ product ) ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ equalish ) )
| ~ ( D @ ( B @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ equalish ) )
| ~ ( D @ ( B @ ( A @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
~ ( additive_identity @ ( d @ ( c @ sum ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
thf(30,plain,
~ ( additive_identity @ ( d @ ( c @ sum ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,axiom,
! [B: $i,A: $i] : ( B @ ( A @ add ) @ ( B @ ( A @ sum ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
thf(51,plain,
! [B: $i,A: $i] : ( B @ ( A @ add ) @ ( B @ ( A @ sum ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ add ) @ ( C @ ( A @ add ) @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_substitution1) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ add ) @ ( C @ ( A @ add ) @ equalish ) )
| ~ ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(23,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( E @ ( C @ sum ) ) )
| ~ ( G @ ( B @ ( F @ product ) ) )
| ~ ( F @ ( D @ ( A @ sum ) ) )
| ~ ( E @ ( B @ ( D @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
thf(68,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( E @ ( C @ sum ) ) )
| ~ ( G @ ( B @ ( F @ product ) ) )
| ~ ( F @ ( D @ ( A @ sum ) ) )
| ~ ( E @ ( B @ ( D @ product ) ) )
| ~ ( C @ ( B @ ( A @ product ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(20,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ equalish ) )
| ~ ( D @ ( B @ ( A @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ equalish ) )
| ~ ( D @ ( B @ ( A @ sum ) ) )
| ~ ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(262,plain,
$false,
inference(e,[status(thm)],[52,61,60,53,41,73,59,49,66,55,75,57,78,38,70,45,64,32,34,76,39,72,43,36,30,51,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/0.55 % Computer : n014.cluster.edu
% 0.15/0.55 % Model : x86_64 x86_64
% 0.15/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.55 % Memory : 8046.5625MB
% 0.15/0.55 % OS : Linux 6.8.0-71-generic
% 0.15/0.55 % CPULimit : 300
% 0.15/0.55 % WCLimit : 300
% 0.15/0.55 % DateTime : Sat Sep 26 05:50:33 UTC 2026
% 0.19/0.56 % CPUTime :
% 0.19/0.56 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.01/1.13 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.34 % [INFO] Parsing done (200ms).
% 1.27/1.35 % [INFO] Running in sequential loop mode.
% 1.95/1.75 % [INFO] eprover registered as external prover.
% 1.95/1.76 % [INFO] Scanning for conjecture ...
% 2.14/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ...
% 2.29/1.91 % [INFO] Axiom selection finished. Selected 28 axioms (removed 0 axioms).
% 2.29/1.95 % [INFO] Problem is propositional (TPTP CNF).
% 2.29/1.95 % [INFO] Type checking passed.
% 2.29/1.96 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.12/2.63 % External prover 'e' found a proof!
% 5.12/2.63 % [INFO] Killing All external provers ...
% 5.12/2.63 % Time passed: 1940ms (effective reasoning time: 1277ms)
% 5.12/2.64 % Axioms used in derivation (28): product_substitution2, addition_is_well_defined, additive_inverse_substitution, multiplication_is_well_defined, multiplicative_identity1, associativity_of_multiplication2, sum_substitution3, product_substitution1, distributivity1, closure_of_multiplication, associativity_of_addition2, a_times_b, associativity_of_multiplication1, distributivity4, sum_substitution1, closure_of_addition, distributivity3, sum_substitution2, additive_inverse2, a_inverse_times_b, commutativity_of_addition, multiply_substitution1, product_substitution3, additive_identity2, distributivity2, associativity_of_addition1, add_substitution1, multiplicative_identity2
% 5.12/2.64 % No. of inferences in proof: 59
% 5.12/2.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1940 ms resp. 1277 ms w/o parsing
% 5.12/2.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.12/2.66 % [INFO] Killing All external provers ...
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