TSTP Solution File: RNG008-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG008-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:57:14 EDT 2024
% Result : Unsatisfiable 0.49s 1.16s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of clauses : 71 ( 63 unt; 0 nHn; 25 RR)
% Number of literals : 95 ( 71 equ; 27 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 117 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_identity_x_is_identity) ).
cnf(c_50,plain,
product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_times_x_is_identity) ).
cnf(c_51,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
cnf(c_52,plain,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_53,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(c_55,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(c_59,plain,
sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(c_61,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(c_62,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(c_68,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
cnf(c_79,plain,
multiply(X0,additive_identity) = additive_identity,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_80,plain,
multiply(additive_identity,X0) = additive_identity,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_81,plain,
multiply(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_82,plain,
multiply(a,b) = c,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_83,plain,
multiply(b,a) != c,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_85,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_89,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_92,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| add(X1,X5) != X3
| add(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_94,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_102,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| add(X1,X3) != X5
| add(X2,X4) != X6
| multiply(X0,X5) = X6 ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_106,plain,
( multiply(X0,X1) != X2
| multiply(X3,X1) != X4
| add(X0,X3) != X5
| add(X2,X4) != X6
| multiply(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_68]) ).
cnf(c_230,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_94]) ).
cnf(c_236,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_92]) ).
cnf(c_238,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_106]) ).
cnf(c_240,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_102]) ).
cnf(c_358,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_85,c_230]) ).
cnf(c_372,plain,
add(X0,add(additive_identity,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_85,c_236]) ).
cnf(c_373,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_89,c_236]) ).
cnf(c_380,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_89,c_238]) ).
cnf(c_385,plain,
add(multiply(X0,add(X0,X1)),multiply(X1,add(X0,X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_238,c_81]) ).
cnf(c_396,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_89,c_240]) ).
cnf(c_409,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_396,c_79]) ).
cnf(c_460,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_373,c_358]) ).
cnf(c_465,plain,
add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_89,c_460]) ).
cnf(c_478,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_465,c_85]) ).
cnf(c_552,plain,
add(X0,multiply(X0,additive_inverse(X0))) = additive_identity,
inference(superposition,[status(thm)],[c_81,c_409]) ).
cnf(c_553,plain,
add(c,multiply(a,additive_inverse(b))) = additive_identity,
inference(superposition,[status(thm)],[c_82,c_409]) ).
cnf(c_600,plain,
multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_552,c_460]) ).
cnf(c_603,plain,
multiply(additive_inverse(X0),X0) = X0,
inference(light_normalisation,[status(thm)],[c_600,c_85,c_478]) ).
cnf(c_638,plain,
add(c,add(multiply(a,additive_inverse(b)),X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_553,c_236]) ).
cnf(c_645,plain,
add(c,add(multiply(a,additive_inverse(b)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_638,c_358]) ).
cnf(c_702,plain,
add(c,add(X0,multiply(a,additive_inverse(b)))) = X0,
inference(superposition,[status(thm)],[c_230,c_645]) ).
cnf(c_778,plain,
add(c,add(X0,add(X1,multiply(a,additive_inverse(b))))) = add(X0,X1),
inference(superposition,[status(thm)],[c_236,c_702]) ).
cnf(c_1125,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_380,c_80]) ).
cnf(c_1151,plain,
add(multiply(X0,X0),X0) = additive_identity,
inference(superposition,[status(thm)],[c_603,c_1125]) ).
cnf(c_1167,plain,
add(X0,multiply(X0,X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_1151,c_236,c_230]) ).
cnf(c_1168,plain,
add(X0,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1167,c_81]) ).
cnf(c_1208,plain,
add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_1168,c_236]) ).
cnf(c_1217,plain,
add(X0,additive_identity) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_1168,c_460]) ).
cnf(c_1219,plain,
multiply(a,additive_inverse(b)) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_1168,c_645]) ).
cnf(c_1221,plain,
additive_inverse(X0) = X0,
inference(light_normalisation,[status(thm)],[c_1217,c_85]) ).
cnf(c_1223,plain,
multiply(a,additive_inverse(b)) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_1219,c_236,c_230]) ).
cnf(c_1237,plain,
add(X0,add(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_460,c_1221]) ).
cnf(c_1441,plain,
add(c,add(X0,add(X1,add(additive_identity,c)))) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_778,c_1223]) ).
cnf(c_1442,plain,
add(c,add(X0,add(X1,c))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_1441,c_372]) ).
cnf(c_1450,plain,
add(c,add(add(X0,c),X1)) = add(X1,X0),
inference(superposition,[status(thm)],[c_230,c_1442]) ).
cnf(c_1457,plain,
add(c,add(X0,add(c,X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_230,c_1442]) ).
cnf(c_1473,plain,
add(c,add(X0,add(c,X1))) = add(X1,X0),
inference(theory_normalisation,[status(thm)],[c_1450,c_236,c_230]) ).
cnf(c_1495,plain,
add(add(X0,multiply(X0,X1)),add(X1,multiply(X1,X0))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_385,c_81,c_240,c_1457,c_1473]) ).
cnf(c_1496,plain,
add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
inference(theory_normalisation,[status(thm)],[c_1495,c_236,c_230]) ).
cnf(c_1524,plain,
add(b,add(a,add(multiply(b,a),c))) = add(b,a),
inference(superposition,[status(thm)],[c_82,c_1496]) ).
cnf(c_1553,plain,
add(a,add(b,add(c,multiply(b,a)))) = add(a,b),
inference(theory_normalisation,[status(thm)],[c_1524,c_236,c_230]) ).
cnf(c_1611,plain,
add(b,add(c,multiply(b,a))) = add(a,add(a,b)),
inference(superposition,[status(thm)],[c_1553,c_1237]) ).
cnf(c_1744,plain,
add(b,add(c,multiply(b,a))) = b,
inference(demodulation,[status(thm)],[c_1611,c_358,c_1208]) ).
cnf(c_1745,plain,
add(c,multiply(b,a)) = add(b,b),
inference(superposition,[status(thm)],[c_1744,c_1237]) ).
cnf(c_1753,plain,
add(c,multiply(b,a)) = additive_identity,
inference(demodulation,[status(thm)],[c_1745,c_1168]) ).
cnf(c_1754,plain,
multiply(b,a) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_1753,c_1237]) ).
cnf(c_1760,plain,
multiply(b,a) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_1754,c_236,c_230]) ).
cnf(c_1769,plain,
add(additive_identity,c) != c,
inference(demodulation,[status(thm)],[c_83,c_1760]) ).
cnf(c_1770,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1769,c_358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG008-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:13:47 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.16 % SZS status Started for theBenchmark.p
% 0.49/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.16
% 0.49/1.16 ------ iProver source info
% 0.49/1.16
% 0.49/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.16 git: non_committed_changes: false
% 0.49/1.16
% 0.49/1.16 ------ Parsing...successful
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... sup_sim: 15 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.49/1.16 ------ Proving...
% 0.49/1.16 ------ Problem Properties
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 clauses 12
% 0.49/1.16 conjectures 0
% 0.49/1.16 EPR 0
% 0.49/1.16 Horn 12
% 0.49/1.16 unary 12
% 0.49/1.16 binary 0
% 0.49/1.16 lits 12
% 0.49/1.16 lits eq 12
% 0.49/1.16 fd_pure 0
% 0.49/1.16 fd_pseudo 0
% 0.49/1.16 fd_cond 0
% 0.49/1.16 fd_pseudo_cond 0
% 0.49/1.16 AC symbols 1
% 0.49/1.16
% 0.49/1.16 ------ Schedule UEQ
% 0.49/1.16
% 0.49/1.16 ------ Option_UEQ Time Limit: 10.
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 ------
% 0.49/1.16 Current options:
% 0.49/1.16 ------
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 ------ Proving...
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.16
% 4.15/1.17
%------------------------------------------------------------------------------