TSTP Solution File: GRP096-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:20:56 EDT 2024
% Result : Unsatisfiable 0.49s 1.16s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_77,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_79,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_80,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_81,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_82,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_83,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_84,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_85,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_86,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_87,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_88,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_89,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_90,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_51,c_89,c_88,c_86,c_87,c_84,c_85,c_82,c_83,c_80,c_81,c_77,c_78,c_79]) ).
cnf(c_169,plain,
multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_173,plain,
divide(X0,sP7_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_84,c_50]) ).
cnf(c_174,plain,
divide(X0,sP9_iProver_def) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_86,c_50]) ).
cnf(c_175,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_77,c_50]) ).
cnf(c_176,plain,
divide(multiply(X0,divide(X1,multiply(X0,X2))),inverse(X2)) = X1,
inference(superposition,[status(thm)],[c_50,c_66]) ).
cnf(c_185,plain,
multiply(multiply(X0,divide(X1,divide(X0,sP7_iProver_def))),a1) = X1,
inference(superposition,[status(thm)],[c_173,c_66]) ).
cnf(c_186,plain,
multiply(multiply(X0,divide(X1,multiply(X0,a1))),a1) = X1,
inference(light_normalisation,[status(thm)],[c_185,c_173]) ).
cnf(c_205,plain,
multiply(multiply(sP7_iProver_def,divide(X0,sP8_iProver_def)),a1) = X0,
inference(superposition,[status(thm)],[c_85,c_186]) ).
cnf(c_206,plain,
multiply(multiply(multiply(X0,divide(X1,multiply(X0,a1))),divide(X2,X1)),a1) = X2,
inference(superposition,[status(thm)],[c_186,c_186]) ).
cnf(c_211,plain,
multiply(X0,divide(X1,divide(X0,sP8_iProver_def))) = multiply(multiply(sP7_iProver_def,X1),a1),
inference(superposition,[status(thm)],[c_66,c_205]) ).
cnf(c_354,plain,
multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c_176,c_50]) ).
cnf(c_358,plain,
multiply(X0,divide(X1,divide(X0,multiply(X2,X3)))) = multiply(multiply(X2,X1),X3),
inference(superposition,[status(thm)],[c_66,c_354]) ).
cnf(c_484,plain,
divide(multiply(multiply(sP7_iProver_def,X0),a1),sP8_iProver_def) = X0,
inference(superposition,[status(thm)],[c_211,c_66]) ).
cnf(c_560,plain,
divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_169,c_66]) ).
cnf(c_613,plain,
divide(X0,divide(multiply(sP7_iProver_def,X0),sP8_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_484,c_560]) ).
cnf(c_615,plain,
divide(divide(sP3_iProver_def,X0),divide(a3,X0)) = b3,
inference(superposition,[status(thm)],[c_80,c_560]) ).
cnf(c_839,plain,
divide(multiply(sP3_iProver_def,X0),divide(a3,inverse(X0))) = b3,
inference(superposition,[status(thm)],[c_50,c_615]) ).
cnf(c_1033,plain,
divide(multiply(multiply(sP7_iProver_def,X0),X1),sP8_iProver_def) = multiply(X0,divide(X1,a1)),
inference(superposition,[status(thm)],[c_613,c_169]) ).
cnf(c_1043,plain,
multiply(X0,divide(a1,a1)) = X0,
inference(demodulation,[status(thm)],[c_484,c_1033]) ).
cnf(c_1093,plain,
multiply(X0,divide(X1,multiply(X0,divide(a1,a1)))) = X1,
inference(superposition,[status(thm)],[c_1043,c_354]) ).
cnf(c_1094,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(light_normalisation,[status(thm)],[c_1093,c_1043]) ).
cnf(c_1104,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_50,c_1094]) ).
cnf(c_1105,plain,
multiply(X0,divide(X1,divide(X0,X2))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_66,c_1094]) ).
cnf(c_1107,plain,
multiply(sP7_iProver_def,multiply(X0,a1)) = X0,
inference(superposition,[status(thm)],[c_173,c_1094]) ).
cnf(c_1110,plain,
divide(multiply(X0,X1),X2) = multiply(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_560,c_1094]) ).
cnf(c_1121,plain,
divide(multiply(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_66,c_1105]) ).
cnf(c_1126,plain,
divide(X0,multiply(divide(sP7_iProver_def,sP8_iProver_def),X0)) = a1,
inference(demodulation,[status(thm)],[c_613,c_1110]) ).
cnf(c_1182,plain,
multiply(sP7_iProver_def,sP8_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_85,c_1107]) ).
cnf(c_1183,plain,
multiply(X0,divide(X1,multiply(X0,a1))) = multiply(sP7_iProver_def,X1),
inference(superposition,[status(thm)],[c_354,c_1107]) ).
cnf(c_1192,plain,
multiply(multiply(sP7_iProver_def,divide(X0,sP7_iProver_def)),sP8_iProver_def) = X0,
inference(superposition,[status(thm)],[c_1182,c_354]) ).
cnf(c_1193,plain,
multiply(X0,sP8_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_1192,c_173,c_1107]) ).
cnf(c_1232,plain,
multiply(divide(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_1121,c_1110]) ).
cnf(c_1239,plain,
multiply(multiply(sP0_iProver_def,b2),X0) = X0,
inference(superposition,[status(thm)],[c_175,c_1232]) ).
cnf(c_1246,plain,
divide(X0,X0) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_1232,c_1193]) ).
cnf(c_1249,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1239,c_78]) ).
cnf(c_1254,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_79,c_1249]) ).
cnf(c_1256,plain,
( sP2_iProver_def != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_90,c_1254]) ).
cnf(c_1257,plain,
( sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_1256]) ).
cnf(c_1302,plain,
multiply(inverse(c3),sP5_iProver_def) = b3,
inference(superposition,[status(thm)],[c_82,c_1104]) ).
cnf(c_1324,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1104,c_1104]) ).
cnf(c_1424,plain,
multiply(sP9_iProver_def,b1) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_1246,c_174]) ).
cnf(c_1425,plain,
multiply(sP0_iProver_def,b2) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_1246,c_175]) ).
cnf(c_1427,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_1425,c_78]) ).
cnf(c_1429,plain,
sP8_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_87,c_1424]) ).
cnf(c_1437,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1257,c_1257,c_1429]) ).
cnf(c_1453,plain,
divide(X0,sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_1249,c_1094]) ).
cnf(c_1487,plain,
multiply(multiply(multiply(sP7_iProver_def,X0),divide(X1,X0)),a1) = X1,
inference(light_normalisation,[status(thm)],[c_206,c_1183]) ).
cnf(c_1490,plain,
multiply(multiply(multiply(sP7_iProver_def,inverse(X0)),multiply(X1,X0)),a1) = X1,
inference(superposition,[status(thm)],[c_50,c_1487]) ).
cnf(c_1534,plain,
multiply(inverse(sP5_iProver_def),b3) = inverse(c3),
inference(superposition,[status(thm)],[c_1302,c_1104]) ).
cnf(c_1767,plain,
multiply(divide(sP3_iProver_def,multiply(a3,X0)),X0) = b3,
inference(demodulation,[status(thm)],[c_839,c_50,c_1110]) ).
cnf(c_1770,plain,
multiply(divide(sP3_iProver_def,sP6_iProver_def),sP5_iProver_def) = b3,
inference(superposition,[status(thm)],[c_83,c_1767]) ).
cnf(c_1821,plain,
multiply(inverse(sP5_iProver_def),b3) = divide(sP3_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_1770,c_1104]) ).
cnf(c_1822,plain,
divide(sP3_iProver_def,sP6_iProver_def) = inverse(c3),
inference(light_normalisation,[status(thm)],[c_1821,c_1534]) ).
cnf(c_1824,plain,
multiply(sP6_iProver_def,inverse(c3)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1822,c_1094]) ).
cnf(c_1825,plain,
multiply(inverse(inverse(c3)),sP3_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_1824,c_1104]) ).
cnf(c_2518,plain,
divide(X0,multiply(divide(sP7_iProver_def,sP1_iProver_def),X0)) = a1,
inference(light_normalisation,[status(thm)],[c_1126,c_1427]) ).
cnf(c_2519,plain,
divide(X0,multiply(sP7_iProver_def,X0)) = a1,
inference(demodulation,[status(thm)],[c_2518,c_1453]) ).
cnf(c_2527,plain,
multiply(multiply(sP7_iProver_def,X0),X1) = multiply(X0,divide(X1,a1)),
inference(superposition,[status(thm)],[c_2519,c_1105]) ).
cnf(c_2937,plain,
multiply(divide(X0,a1),a1) = X0,
inference(demodulation,[status(thm)],[c_1490,c_1104,c_1110,c_2527]) ).
cnf(c_2940,plain,
divide(X0,a1) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_2937,c_1107]) ).
cnf(c_2949,plain,
multiply(a1,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_2940,c_1094]) ).
cnf(c_2958,plain,
divide(X0,sP7_iProver_def) = multiply(a1,X0),
inference(superposition,[status(thm)],[c_1094,c_2949]) ).
cnf(c_2989,plain,
multiply(sP7_iProver_def,multiply(a1,X0)) = X0,
inference(superposition,[status(thm)],[c_2958,c_1094]) ).
cnf(c_3081,plain,
divide(multiply(a1,X0),X0) = a1,
inference(superposition,[status(thm)],[c_2989,c_2519]) ).
cnf(c_3105,plain,
multiply(divide(a1,X0),X0) = a1,
inference(demodulation,[status(thm)],[c_3081,c_1110]) ).
cnf(c_3109,plain,
multiply(multiply(a1,X0),inverse(X0)) = a1,
inference(superposition,[status(thm)],[c_50,c_3105]) ).
cnf(c_3192,plain,
multiply(inverse(a1),multiply(a1,X0)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3109,c_1324]) ).
cnf(c_3199,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3192,c_84,c_2989]) ).
cnf(c_3201,plain,
multiply(c3,sP3_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_1825,c_3199]) ).
cnf(c_4413,plain,
multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(demodulation,[status(thm)],[c_358,c_1105]) ).
cnf(c_4554,plain,
multiply(multiply(sP1_iProver_def,X0),X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1249,c_4413]) ).
cnf(c_4696,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_4554,c_1249]) ).
cnf(c_4741,plain,
multiply(sP3_iProver_def,c3) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_3201,c_4696]) ).
cnf(c_4742,plain,
multiply(a4,b4) = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_89,c_4696]) ).
cnf(c_4777,plain,
sP11_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_4742,c_88]) ).
cnf(c_4778,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1437,c_4777]) ).
cnf(c_4780,plain,
sP4_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_4741,c_81]) ).
cnf(c_4781,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4778,c_4780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:56:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/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: 1 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 16
% 0.49/1.16 conjectures 1
% 0.49/1.16 EPR 1
% 0.49/1.16 Horn 16
% 0.49/1.16 unary 15
% 0.49/1.16 binary 0
% 0.49/1.16 lits 19
% 0.49/1.16 lits eq 19
% 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 0
% 0.49/1.16
% 0.49/1.16 ------ Schedule dynamic 5 is on
% 0.49/1.16
% 0.49/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" 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
% 0.49/1.16
%------------------------------------------------------------------------------