TSTP Solution File: RNG004-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Thu Aug 31 13:54:35 EDT 2023
% Result : Unsatisfiable 4.04s 1.17s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of clauses : 54 ( 46 unt; 0 nHn; 30 RR)
% Number of literals : 78 ( 57 equ; 26 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
cnf(c_50,plain,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
cnf(c_51,negated_conjecture,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(c_53,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(c_57,plain,
sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(c_59,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_60,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(c_64,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_66,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_76,plain,
multiply(a,b) = c,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_77,plain,
multiply(additive_inverse(a),additive_inverse(b)) = d,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_79,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_83,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_86,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| add(X1,X5) != X3
| add(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_88,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_96,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_64]) ).
cnf(c_100,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_66]) ).
cnf(c_219,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_88]) ).
cnf(c_225,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_86]) ).
cnf(c_227,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_100]) ).
cnf(c_229,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_344,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_79,c_219]) ).
cnf(c_361,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_83,c_225]) ).
cnf(c_363,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_225,c_83]) ).
cnf(c_365,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_344,c_227]) ).
cnf(c_367,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_83,c_227]) ).
cnf(c_374,plain,
add(multiply(X0,additive_identity),multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_344,c_229]) ).
cnf(c_376,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_83,c_229]) ).
cnf(c_392,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_361,c_344]) ).
cnf(c_397,plain,
additive_inverse(additive_inverse(X0)) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_83,c_392]) ).
cnf(c_398,plain,
add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_219,c_392]) ).
cnf(c_410,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_397,c_79]) ).
cnf(c_463,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_363,c_392]) ).
cnf(c_528,plain,
add(multiply(additive_identity,b),c) = c,
inference(superposition,[status(thm)],[c_76,c_365]) ).
cnf(c_543,plain,
add(c,multiply(additive_identity,b)) = c,
inference(theory_normalisation,[status(thm)],[c_528,c_225,c_219]) ).
cnf(c_589,plain,
add(multiply(additive_inverse(a),additive_identity),d) = d,
inference(superposition,[status(thm)],[c_77,c_374]) ).
cnf(c_604,plain,
add(d,multiply(additive_inverse(a),additive_identity)) = d,
inference(theory_normalisation,[status(thm)],[c_589,c_225,c_219]) ).
cnf(c_649,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_463,c_79]) ).
cnf(c_663,plain,
add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_410,c_649]) ).
cnf(c_748,plain,
add(multiply(additive_identity,b),additive_inverse(c)) = additive_inverse(c),
inference(superposition,[status(thm)],[c_543,c_663]) ).
cnf(c_751,plain,
add(multiply(additive_inverse(a),additive_identity),additive_inverse(d)) = additive_inverse(d),
inference(superposition,[status(thm)],[c_604,c_663]) ).
cnf(c_833,plain,
add(c,additive_inverse(c)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_748,c_398]) ).
cnf(c_956,plain,
multiply(additive_identity,b) = additive_identity,
inference(demodulation,[status(thm)],[c_833,c_83]) ).
cnf(c_1086,plain,
multiply(additive_inverse(a),additive_identity) = add(d,additive_inverse(d)),
inference(superposition,[status(thm)],[c_751,c_398]) ).
cnf(c_1088,plain,
multiply(additive_inverse(a),additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_1086,c_83]) ).
cnf(c_1188,plain,
add(c,multiply(additive_inverse(a),b)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_76,c_367]) ).
cnf(c_1225,plain,
add(c,multiply(additive_inverse(a),b)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1188,c_956]) ).
cnf(c_1245,plain,
add(c,add(multiply(additive_inverse(a),b),X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_1225,c_225]) ).
cnf(c_1252,plain,
add(c,add(multiply(additive_inverse(a),b),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1245,c_344]) ).
cnf(c_1544,plain,
add(c,multiply(additive_inverse(a),additive_identity)) = multiply(additive_inverse(a),additive_inverse(b)),
inference(superposition,[status(thm)],[c_376,c_1252]) ).
cnf(c_1563,plain,
add(c,additive_identity) = d,
inference(light_normalisation,[status(thm)],[c_1544,c_77,c_1088]) ).
cnf(c_1564,plain,
add(additive_identity,c) = d,
inference(theory_normalisation,[status(thm)],[c_1563,c_225,c_219]) ).
cnf(c_1588,plain,
add(additive_identity,c) != c,
inference(demodulation,[status(thm)],[c_51,c_1564]) ).
cnf(c_1589,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1588,c_344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 02:14:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.04/1.17 % SZS status Started for theBenchmark.p
% 4.04/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.17
% 4.04/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.04/1.17
% 4.04/1.17 ------ iProver source info
% 4.04/1.17
% 4.04/1.17 git: date: 2023-05-31 18:12:56 +0000
% 4.04/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.04/1.17 git: non_committed_changes: false
% 4.04/1.17 git: last_make_outside_of_git: false
% 4.04/1.17
% 4.04/1.17 ------ Parsing...successful
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17 ------ 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
% 4.04/1.17
% 4.04/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.04/1.17
% 4.04/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.04/1.17 ------ Proving...
% 4.04/1.17 ------ Problem Properties
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17 clauses 10
% 4.04/1.17 conjectures 1
% 4.04/1.17 EPR 1
% 4.04/1.17 Horn 10
% 4.04/1.17 unary 10
% 4.04/1.17 binary 0
% 4.04/1.17 lits 10
% 4.04/1.17 lits eq 10
% 4.04/1.17 fd_pure 0
% 4.04/1.17 fd_pseudo 0
% 4.04/1.17 fd_cond 0
% 4.04/1.17 fd_pseudo_cond 0
% 4.04/1.17 AC symbols 1
% 4.04/1.17
% 4.04/1.17 ------ Schedule UEQ
% 4.04/1.17
% 4.04/1.17 ------ Option_UEQ Time Limit: 10.
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17 ------
% 4.04/1.17 Current options:
% 4.04/1.17 ------
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17 ------ Proving...
% 4.04/1.17
% 4.04/1.17
% 4.04/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.17
% 4.04/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.17
% 4.04/1.18
%------------------------------------------------------------------------------