TSTP Solution File: GRP098-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 00:57:30 EDT 2023
% Result : Unsatisfiable 3.89s 1.02s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of clauses : 55 ( 48 unt; 0 nHn; 10 RR)
% Number of literals : 66 ( 65 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_66,plain,
divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(light_normalisation,[status(thm)],[c_49,c_50]) ).
cnf(c_126,plain,
divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_50,c_66]) ).
cnf(c_128,plain,
divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_133,plain,
divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(demodulation,[status(thm)],[c_126,c_50]) ).
cnf(c_135,plain,
divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_133,c_66]) ).
cnf(c_138,plain,
divide(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,X3))),X3) = X1,
inference(superposition,[status(thm)],[c_135,c_66]) ).
cnf(c_151,plain,
multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[c_128,c_50]) ).
cnf(c_226,plain,
divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0) = X2,
inference(superposition,[status(thm)],[c_151,c_128]) ).
cnf(c_570,plain,
divide(multiply(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_226,c_50,c_66]) ).
cnf(c_580,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_570,c_66]) ).
cnf(c_627,plain,
multiply(divide(X0,X0),X1) = X1,
inference(superposition,[status(thm)],[c_580,c_570]) ).
cnf(c_655,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_50,c_627]) ).
cnf(c_666,plain,
divide(multiply(multiply(divide(X0,X0),X1),X2),X2) = X1,
inference(superposition,[status(thm)],[c_627,c_133]) ).
cnf(c_680,plain,
divide(multiply(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_666,c_627]) ).
cnf(c_682,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_655]) ).
cnf(c_774,plain,
divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)) = divide(X3,X1),
inference(superposition,[status(thm)],[c_151,c_680]) ).
cnf(c_777,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_627,c_680]) ).
cnf(c_778,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_680,c_50]) ).
cnf(c_783,plain,
divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_680,c_66]) ).
cnf(c_788,plain,
divide(multiply(X0,X1),multiply(X0,X2)) = divide(X1,X2),
inference(superposition,[status(thm)],[c_680,c_138]) ).
cnf(c_796,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_151,c_774]) ).
cnf(c_891,plain,
divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_50,c_783]) ).
cnf(c_946,plain,
divide(multiply(X0,X1),X2) = multiply(X1,divide(X0,X2)),
inference(superposition,[status(thm)],[c_66,c_796]) ).
cnf(c_948,plain,
multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_133,c_796]) ).
cnf(c_950,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_570,c_796]) ).
cnf(c_954,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_783,c_796]) ).
cnf(c_970,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(demodulation,[status(thm)],[c_682,c_948]) ).
cnf(c_971,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_970,c_950]) ).
cnf(c_1010,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(demodulation,[status(thm)],[c_971,c_950]) ).
cnf(c_1100,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_655,c_948]) ).
cnf(c_1115,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_778,c_948]) ).
cnf(c_1123,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1115,c_1100]) ).
cnf(c_1160,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1123,c_50]) ).
cnf(c_1164,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(b1,inverse(b1)) != divide(a1,a1) ),
inference(demodulation,[status(thm)],[c_1010,c_1160]) ).
cnf(c_1487,plain,
divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_954,c_1100]) ).
cnf(c_1605,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(demodulation,[status(thm)],[c_1164,c_1160]) ).
cnf(c_1606,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
inference(forward_subsumption_resolution,[status(thm)],[c_1605,c_777]) ).
cnf(c_1689,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_954,c_891]) ).
cnf(c_2562,plain,
divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_1689,c_1487]) ).
cnf(c_3005,plain,
divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[c_950,c_946]) ).
cnf(c_3012,plain,
multiply(X0,divide(X1,inverse(X2))) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_946,c_1487]) ).
cnf(c_4769,plain,
multiply(X0,divide(X1,multiply(X0,X2))) = divide(X1,X2),
inference(demodulation,[status(thm)],[c_788,c_3005]) ).
cnf(c_4786,plain,
divide(X0,divide(X1,X2)) = multiply(X2,divide(X0,X1)),
inference(superposition,[status(thm)],[c_954,c_4769]) ).
cnf(c_5649,plain,
multiply(divide(X0,X1),X2) = multiply(X0,divide(X2,X1)),
inference(light_normalisation,[status(thm)],[c_2562,c_4786]) ).
cnf(c_5658,plain,
multiply(X0,divide(X1,inverse(X2))) = multiply(multiply(X2,X0),X1),
inference(superposition,[status(thm)],[c_1487,c_5649]) ).
cnf(c_5659,plain,
multiply(X0,divide(X1,inverse(X2))) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_50,c_5649]) ).
cnf(c_5680,plain,
multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X2,X0)),
inference(light_normalisation,[status(thm)],[c_5659,c_3012]) ).
cnf(c_5681,plain,
multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_5680,c_948]) ).
cnf(c_5682,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_5658,c_3012]) ).
cnf(c_5683,plain,
multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(light_normalisation,[status(thm)],[c_5682,c_948]) ).
cnf(c_5684,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(demodulation,[status(thm)],[c_1606,c_5683]) ).
cnf(c_5685,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5684,c_5681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 00:43:31 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.89/1.02 % SZS status Started for theBenchmark.p
% 3.89/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.02
% 3.89/1.02 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.89/1.02
% 3.89/1.02 ------ iProver source info
% 3.89/1.02
% 3.89/1.02 git: date: 2023-05-31 18:12:56 +0000
% 3.89/1.02 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.89/1.02 git: non_committed_changes: false
% 3.89/1.02 git: last_make_outside_of_git: false
% 3.89/1.02
% 3.89/1.02 ------ Parsing...successful
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.89/1.02
% 3.89/1.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.02
% 3.89/1.02 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.89/1.02 ------ Proving...
% 3.89/1.02 ------ Problem Properties
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02 clauses 3
% 3.89/1.02 conjectures 1
% 3.89/1.02 EPR 0
% 3.89/1.02 Horn 3
% 3.89/1.02 unary 2
% 3.89/1.02 binary 0
% 3.89/1.02 lits 6
% 3.89/1.02 lits eq 6
% 3.89/1.02 fd_pure 0
% 3.89/1.02 fd_pseudo 0
% 3.89/1.02 fd_cond 0
% 3.89/1.02 fd_pseudo_cond 0
% 3.89/1.02 AC symbols 0
% 3.89/1.02
% 3.89/1.02 ------ Schedule dynamic 5 is on
% 3.89/1.02
% 3.89/1.02 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02 ------
% 3.89/1.02 Current options:
% 3.89/1.02 ------
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02 ------ Proving...
% 3.89/1.02
% 3.89/1.02
% 3.89/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.02
% 3.89/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.02
% 3.89/1.02
%------------------------------------------------------------------------------