TSTP Solution File: GRP768-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP768-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Fri May 3 02:23:38 EDT 2024
% Result : Unsatisfiable 208.42s 27.13s
% Output : CNFRefutation 208.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
cnf(c_50,plain,
product(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
cnf(c_51,plain,
product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
cnf(c_52,plain,
difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
cnf(c_53,plain,
quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
cnf(c_54,plain,
product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
cnf(c_55,plain,
difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
cnf(c_56,plain,
difference(product(X0,X1),product(X0,product(X1,X2))) = quotient(quotient(product(X2,product(X0,X1)),X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).
cnf(c_57,plain,
difference(X0,one) = i(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
cnf(c_58,plain,
quotient(one,X0) = j(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos10) ).
cnf(c_59,plain,
product(i(X0),X0) = product(X0,j(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos11) ).
cnf(c_60,plain,
product(i(X0),X0) = eta(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos12) ).
cnf(c_61,plain,
product(eta(X0),product(X0,X1)) = product(i(i(X0)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos13) ).
cnf(c_62,plain,
product(X0,product(eta(X0),X1)) = product(j(j(X0)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos14) ).
cnf(c_63,plain,
product(product(X0,X1),eta(X0)) = product(X0,product(X1,eta(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos15) ).
cnf(c_64,plain,
product(product(eta(X0),X1),X2) = product(eta(X0),product(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos16) ).
cnf(c_67,plain,
quotient(product(X0,X1),X0) = t(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos19) ).
cnf(c_68,negated_conjecture,
product(t(eta(x0),x1),t(eta(x0),x2)) != t(eta(x0),product(x1,x2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_127,plain,
product(X0,j(X0)) = eta(X0),
inference(light_normalisation,[status(thm)],[c_59,c_60]) ).
cnf(c_138,plain,
eta(x0) = sP0_iProver_def,
definition ).
cnf(c_139,plain,
t(sP0_iProver_def,x1) = sP1_iProver_def,
definition ).
cnf(c_140,plain,
t(sP0_iProver_def,x2) = sP2_iProver_def,
definition ).
cnf(c_141,plain,
product(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_142,plain,
product(x1,x2) = sP4_iProver_def,
definition ).
cnf(c_143,plain,
t(sP0_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_144,negated_conjecture,
sP3_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_68,c_142,c_143,c_140,c_138,c_139,c_141]) ).
cnf(c_145,plain,
X0 = X0,
theory(equality) ).
cnf(c_146,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_259,plain,
product(X0,i(X0)) = one,
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_271,plain,
difference(X0,X0) = one,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_273,plain,
difference(X0,eta(X0)) = j(X0),
inference(superposition,[status(thm)],[c_127,c_52]) ).
cnf(c_284,plain,
quotient(X0,one) = X0,
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_288,plain,
quotient(sP4_iProver_def,x2) = x1,
inference(superposition,[status(thm)],[c_142,c_53]) ).
cnf(c_290,plain,
quotient(one,i(X0)) = X0,
inference(superposition,[status(thm)],[c_259,c_53]) ).
cnf(c_298,plain,
j(one) = one,
inference(superposition,[status(thm)],[c_284,c_58]) ).
cnf(c_303,plain,
difference(x0,sP0_iProver_def) = j(x0),
inference(superposition,[status(thm)],[c_138,c_273]) ).
cnf(c_309,plain,
product(j(X0),X0) = one,
inference(superposition,[status(thm)],[c_58,c_54]) ).
cnf(c_312,plain,
difference(quotient(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_318,plain,
quotient(eta(X0),X0) = i(X0),
inference(superposition,[status(thm)],[c_60,c_53]) ).
cnf(c_367,plain,
j(i(X0)) = X0,
inference(demodulation,[status(thm)],[c_290,c_58]) ).
cnf(c_370,plain,
product(i(X0),X0) = eta(i(X0)),
inference(superposition,[status(thm)],[c_367,c_127]) ).
cnf(c_371,plain,
eta(i(X0)) = eta(X0),
inference(light_normalisation,[status(thm)],[c_370,c_60]) ).
cnf(c_381,plain,
difference(j(X0),one) = X0,
inference(superposition,[status(thm)],[c_309,c_52]) ).
cnf(c_387,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_390,plain,
i(j(X0)) = X0,
inference(demodulation,[status(thm)],[c_381,c_57]) ).
cnf(c_392,plain,
eta(j(X0)) = eta(X0),
inference(superposition,[status(thm)],[c_390,c_371]) ).
cnf(c_399,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_400,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_415,plain,
product(eta(X0),product(i(X0),X1)) = product(i(i(i(X0))),X1),
inference(superposition,[status(thm)],[c_371,c_61]) ).
cnf(c_416,plain,
product(i(i(X0)),one) = product(eta(X0),X0),
inference(superposition,[status(thm)],[c_49,c_61]) ).
cnf(c_418,plain,
product(i(i(X0)),difference(X0,X1)) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_419,plain,
product(i(i(quotient(X0,X1))),X1) = product(eta(quotient(X0,X1)),X0),
inference(superposition,[status(thm)],[c_54,c_61]) ).
cnf(c_430,plain,
quotient(product(i(i(X0)),X1),product(X0,X1)) = eta(X0),
inference(superposition,[status(thm)],[c_61,c_53]) ).
cnf(c_454,plain,
( product(one,sP5_iProver_def) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = product(one,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_455,plain,
product(one,sP5_iProver_def) = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_478,plain,
product(j(j(X0)),one) = product(X0,eta(X0)),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_480,plain,
product(j(j(X0)),j(eta(X0))) = product(X0,eta(eta(X0))),
inference(superposition,[status(thm)],[c_127,c_62]) ).
cnf(c_483,plain,
product(j(j(X0)),i(eta(X0))) = product(X0,one),
inference(superposition,[status(thm)],[c_259,c_62]) ).
cnf(c_488,plain,
product(i(i(X0)),product(eta(X0),X1)) = product(eta(X0),product(j(j(X0)),X1)),
inference(superposition,[status(thm)],[c_62,c_61]) ).
cnf(c_491,plain,
difference(X0,product(j(j(X0)),X1)) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_62,c_52]) ).
cnf(c_496,plain,
product(j(j(X0)),i(eta(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_483,c_49]) ).
cnf(c_519,plain,
product(X0,product(difference(X0,X1),eta(X0))) = product(X1,eta(X0)),
inference(superposition,[status(thm)],[c_51,c_63]) ).
cnf(c_535,plain,
product(eta(product(X0,X1)),product(X0,product(X1,eta(X0)))) = product(i(i(product(X0,X1))),eta(X0)),
inference(superposition,[status(thm)],[c_63,c_61]) ).
cnf(c_613,plain,
product(product(sP0_iProver_def,X0),X1) = product(sP0_iProver_def,product(X0,X1)),
inference(superposition,[status(thm)],[c_138,c_64]) ).
cnf(c_735,plain,
quotient(eta(X0),i(X0)) = i(i(X0)),
inference(superposition,[status(thm)],[c_371,c_318]) ).
cnf(c_811,plain,
difference(eta(X0),product(eta(X0),product(X1,X2))) = quotient(product(X1,product(X2,eta(X0))),eta(X0)),
inference(superposition,[status(thm)],[c_64,c_55]) ).
cnf(c_815,plain,
quotient(product(difference(X0,X1),product(X2,X0)),X0) = difference(X0,product(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_826,plain,
quotient(product(i(X0),product(X1,X0)),X0) = difference(X0,product(one,X1)),
inference(superposition,[status(thm)],[c_259,c_55]) ).
cnf(c_922,plain,
quotient(quotient(product(difference(X0,X1),product(X2,X0)),X0),X2) = difference(product(X2,X0),product(X2,X1)),
inference(superposition,[status(thm)],[c_51,c_56]) ).
cnf(c_933,plain,
quotient(quotient(product(i(X0),product(X1,X0)),X0),X1) = difference(product(X1,X0),product(X1,one)),
inference(superposition,[status(thm)],[c_259,c_56]) ).
cnf(c_945,plain,
difference(product(X0,X1),product(X0,one)) = quotient(difference(X1,product(one,X0)),X0),
inference(light_normalisation,[status(thm)],[c_933,c_826]) ).
cnf(c_946,plain,
difference(product(X0,X1),X0) = quotient(difference(X1,X0),X0),
inference(light_normalisation,[status(thm)],[c_945,c_49,c_50]) ).
cnf(c_948,plain,
difference(product(X0,X1),product(X0,X2)) = quotient(difference(X1,product(X2,X0)),X0),
inference(light_normalisation,[status(thm)],[c_922,c_815]) ).
cnf(c_1337,plain,
product(j(X0),i(eta(i(X0)))) = i(X0),
inference(superposition,[status(thm)],[c_367,c_496]) ).
cnf(c_1347,plain,
difference(j(j(X0)),X0) = i(eta(X0)),
inference(superposition,[status(thm)],[c_496,c_52]) ).
cnf(c_1350,plain,
product(j(X0),i(eta(X0))) = i(X0),
inference(light_normalisation,[status(thm)],[c_1337,c_371]) ).
cnf(c_1515,plain,
quotient(sP0_iProver_def,i(x0)) = i(i(x0)),
inference(superposition,[status(thm)],[c_138,c_735]) ).
cnf(c_1542,plain,
difference(i(i(x0)),sP0_iProver_def) = i(x0),
inference(superposition,[status(thm)],[c_1515,c_312]) ).
cnf(c_1652,plain,
difference(j(X0),i(X0)) = i(eta(i(X0))),
inference(superposition,[status(thm)],[c_367,c_1347]) ).
cnf(c_1660,plain,
difference(j(X0),i(X0)) = i(eta(X0)),
inference(light_normalisation,[status(thm)],[c_1652,c_371]) ).
cnf(c_1663,plain,
product(X0,i(eta(i(X0)))) = i(i(X0)),
inference(superposition,[status(thm)],[c_367,c_1350]) ).
cnf(c_1677,plain,
product(X0,i(eta(X0))) = i(i(X0)),
inference(light_normalisation,[status(thm)],[c_1663,c_371]) ).
cnf(c_1846,plain,
difference(X0,i(i(X0))) = i(eta(i(X0))),
inference(superposition,[status(thm)],[c_367,c_1660]) ).
cnf(c_1855,plain,
difference(X0,i(i(X0))) = i(eta(X0)),
inference(light_normalisation,[status(thm)],[c_1846,c_371]) ).
cnf(c_2020,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_2150,plain,
product(eta(X0),X0) = i(i(X0)),
inference(demodulation,[status(thm)],[c_416,c_49]) ).
cnf(c_2152,plain,
product(sP0_iProver_def,x0) = i(i(x0)),
inference(superposition,[status(thm)],[c_138,c_2150]) ).
cnf(c_2155,plain,
product(eta(X0),j(X0)) = i(i(j(X0))),
inference(superposition,[status(thm)],[c_392,c_2150]) ).
cnf(c_2162,plain,
quotient(i(i(X0)),X0) = eta(X0),
inference(superposition,[status(thm)],[c_2150,c_53]) ).
cnf(c_2163,plain,
difference(eta(X0),i(i(X0))) = X0,
inference(superposition,[status(thm)],[c_2150,c_52]) ).
cnf(c_2169,plain,
product(eta(X0),j(X0)) = i(X0),
inference(light_normalisation,[status(thm)],[c_2155,c_390]) ).
cnf(c_2174,plain,
difference(product(sP0_iProver_def,x0),sP0_iProver_def) = i(x0),
inference(demodulation,[status(thm)],[c_1542,c_2152]) ).
cnf(c_2201,plain,
eta(product(sP0_iProver_def,x0)) = eta(i(x0)),
inference(superposition,[status(thm)],[c_2152,c_371]) ).
cnf(c_2202,plain,
j(product(sP0_iProver_def,x0)) = i(x0),
inference(superposition,[status(thm)],[c_2152,c_367]) ).
cnf(c_2296,plain,
quotient(i(X0),j(X0)) = eta(j(X0)),
inference(superposition,[status(thm)],[c_390,c_2162]) ).
cnf(c_2297,plain,
quotient(i(product(sP0_iProver_def,x0)),i(x0)) = eta(i(x0)),
inference(superposition,[status(thm)],[c_2152,c_2162]) ).
cnf(c_2306,plain,
quotient(i(X0),j(X0)) = eta(X0),
inference(light_normalisation,[status(thm)],[c_2296,c_392]) ).
cnf(c_2342,plain,
product(eta(X0),j(j(X0))) = i(j(X0)),
inference(superposition,[status(thm)],[c_392,c_2169]) ).
cnf(c_2358,plain,
product(eta(X0),j(j(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_2342,c_390]) ).
cnf(c_2420,plain,
quotient(j(x0),sP0_iProver_def) = i(x0),
inference(demodulation,[status(thm)],[c_2174,c_303,c_946]) ).
cnf(c_2423,plain,
product(i(x0),sP0_iProver_def) = j(x0),
inference(superposition,[status(thm)],[c_2420,c_54]) ).
cnf(c_2446,plain,
product(i(i(i(x0))),sP0_iProver_def) = product(eta(i(x0)),j(x0)),
inference(superposition,[status(thm)],[c_2423,c_61]) ).
cnf(c_2450,plain,
product(i(product(sP0_iProver_def,x0)),sP0_iProver_def) = product(eta(i(x0)),j(x0)),
inference(light_normalisation,[status(thm)],[c_2446,c_2152]) ).
cnf(c_2562,plain,
eta(product(sP0_iProver_def,x0)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2201,c_138,c_371]) ).
cnf(c_2563,plain,
product(sP0_iProver_def,j(product(sP0_iProver_def,x0))) = i(product(sP0_iProver_def,x0)),
inference(superposition,[status(thm)],[c_2562,c_2169]) ).
cnf(c_2569,plain,
product(j(product(sP0_iProver_def,x0)),i(sP0_iProver_def)) = i(product(sP0_iProver_def,x0)),
inference(superposition,[status(thm)],[c_2562,c_1350]) ).
cnf(c_2586,plain,
product(sP0_iProver_def,i(x0)) = i(product(sP0_iProver_def,x0)),
inference(light_normalisation,[status(thm)],[c_2563,c_2202]) ).
cnf(c_2591,plain,
product(i(x0),i(sP0_iProver_def)) = i(product(sP0_iProver_def,x0)),
inference(light_normalisation,[status(thm)],[c_2569,c_2202]) ).
cnf(c_2648,plain,
quotient(i(product(sP0_iProver_def,x0)),i(x0)) = eta(product(sP0_iProver_def,x0)),
inference(superposition,[status(thm)],[c_2202,c_2306]) ).
cnf(c_2656,plain,
eta(i(x0)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2648,c_2297,c_2562]) ).
cnf(c_2732,plain,
product(eta(X0),product(j(j(X0)),X1)) = product(X0,X1),
inference(superposition,[status(thm)],[c_2358,c_64]) ).
cnf(c_2786,plain,
product(X0,eta(X0)) = j(j(X0)),
inference(demodulation,[status(thm)],[c_478,c_49]) ).
cnf(c_2792,plain,
product(i(X0),eta(X0)) = j(j(i(X0))),
inference(superposition,[status(thm)],[c_371,c_2786]) ).
cnf(c_2799,plain,
product(i(i(X0)),eta(X0)) = product(eta(X0),j(j(X0))),
inference(superposition,[status(thm)],[c_2786,c_61]) ).
cnf(c_2812,plain,
product(i(X0),eta(X0)) = j(X0),
inference(light_normalisation,[status(thm)],[c_2792,c_367]) ).
cnf(c_2814,plain,
product(i(i(X0)),eta(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2799,c_2358]) ).
cnf(c_3137,plain,
product(i(product(sP0_iProver_def,x0)),sP0_iProver_def) = j(product(sP0_iProver_def,x0)),
inference(superposition,[status(thm)],[c_2562,c_2812]) ).
cnf(c_3150,plain,
product(product(sP0_iProver_def,i(x0)),sP0_iProver_def) = i(x0),
inference(light_normalisation,[status(thm)],[c_3137,c_2202,c_2450,c_2586]) ).
cnf(c_3188,plain,
product(i(i(i(i(X0)))),eta(X0)) = product(eta(i(i(X0))),X0),
inference(superposition,[status(thm)],[c_2814,c_61]) ).
cnf(c_3190,plain,
quotient(X0,eta(X0)) = i(i(X0)),
inference(superposition,[status(thm)],[c_2814,c_53]) ).
cnf(c_3240,plain,
product(i(i(i(i(X0)))),eta(X0)) = product(eta(i(X0)),X0),
inference(superposition,[status(thm)],[c_2814,c_415]) ).
cnf(c_3264,plain,
product(i(i(i(i(X0)))),eta(X0)) = i(i(X0)),
inference(light_normalisation,[status(thm)],[c_3240,c_371,c_2150,c_3188]) ).
cnf(c_4910,plain,
product(i(x0),i(sP0_iProver_def)) = product(sP0_iProver_def,i(x0)),
inference(light_normalisation,[status(thm)],[c_2591,c_2586]) ).
cnf(c_4913,plain,
product(i(x0),product(i(sP0_iProver_def),eta(i(x0)))) = product(product(sP0_iProver_def,i(x0)),eta(i(x0))),
inference(superposition,[status(thm)],[c_4910,c_63]) ).
cnf(c_4921,plain,
product(i(x0),product(i(sP0_iProver_def),sP0_iProver_def)) = i(x0),
inference(light_normalisation,[status(thm)],[c_4913,c_2656,c_3150]) ).
cnf(c_5671,plain,
quotient(product(i(i(i(i(X0)))),eta(X0)),X0) = eta(i(i(X0))),
inference(superposition,[status(thm)],[c_2814,c_430]) ).
cnf(c_5729,plain,
eta(i(i(X0))) = eta(X0),
inference(light_normalisation,[status(thm)],[c_5671,c_2162,c_3264]) ).
cnf(c_6486,plain,
product(i(x0),eta(sP0_iProver_def)) = i(x0),
inference(demodulation,[status(thm)],[c_4921,c_60]) ).
cnf(c_6494,plain,
difference(i(x0),i(x0)) = eta(sP0_iProver_def),
inference(superposition,[status(thm)],[c_6486,c_52]) ).
cnf(c_6587,plain,
eta(sP0_iProver_def) = one,
inference(demodulation,[status(thm)],[c_6494,c_271]) ).
cnf(c_6603,plain,
quotient(sP0_iProver_def,one) = i(i(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6587,c_3190]) ).
cnf(c_7748,plain,
product(sP0_iProver_def,product(difference(sP0_iProver_def,X0),X1)) = product(X0,X1),
inference(superposition,[status(thm)],[c_51,c_613]) ).
cnf(c_7766,plain,
quotient(product(sP0_iProver_def,product(X0,X1)),X1) = product(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_613,c_53]) ).
cnf(c_7767,plain,
difference(product(sP0_iProver_def,X0),product(sP0_iProver_def,product(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_613,c_52]) ).
cnf(c_9295,plain,
product(i(i(X0)),product(eta(X0),X1)) = product(X0,X1),
inference(light_normalisation,[status(thm)],[c_488,c_2732]) ).
cnf(c_9306,plain,
product(i(i(X0)),eta(eta(X0))) = product(X0,j(eta(X0))),
inference(superposition,[status(thm)],[c_127,c_9295]) ).
cnf(c_11611,plain,
product(eta(X0),product(X0,eta(eta(X0)))) = product(i(i(X0)),eta(eta(X0))),
inference(superposition,[status(thm)],[c_2163,c_519]) ).
cnf(c_11700,plain,
product(eta(X0),product(X0,eta(eta(X0)))) = product(X0,j(eta(X0))),
inference(light_normalisation,[status(thm)],[c_11611,c_9306]) ).
cnf(c_16748,plain,
product(eta(product(X0,i(eta(X0)))),product(X0,eta(eta(X0)))) = product(i(i(product(X0,i(eta(X0))))),eta(X0)),
inference(superposition,[status(thm)],[c_60,c_535]) ).
cnf(c_16841,plain,
product(X0,j(eta(X0))) = i(i(X0)),
inference(light_normalisation,[status(thm)],[c_16748,c_1677,c_3264,c_5729,c_11700]) ).
cnf(c_17226,plain,
product(difference(sP0_iProver_def,X0),X1) = difference(sP0_iProver_def,product(X0,X1)),
inference(superposition,[status(thm)],[c_7748,c_52]) ).
cnf(c_17570,plain,
product(sP0_iProver_def,j(one)) = i(i(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6587,c_16841]) ).
cnf(c_17587,plain,
difference(X0,i(i(X0))) = j(eta(X0)),
inference(superposition,[status(thm)],[c_16841,c_52]) ).
cnf(c_17619,plain,
product(sP0_iProver_def,one) = quotient(sP0_iProver_def,one),
inference(light_normalisation,[status(thm)],[c_17570,c_298,c_6603]) ).
cnf(c_17649,plain,
i(eta(X0)) = j(eta(X0)),
inference(demodulation,[status(thm)],[c_1855,c_17587]) ).
cnf(c_17673,plain,
product(j(j(X0)),j(eta(X0))) = X0,
inference(demodulation,[status(thm)],[c_496,c_17649]) ).
cnf(c_17674,plain,
product(X0,eta(eta(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_17673,c_480]) ).
cnf(c_17788,plain,
j(j(eta(X0))) = eta(X0),
inference(superposition,[status(thm)],[c_17649,c_367]) ).
cnf(c_18046,plain,
difference(X0,X0) = eta(eta(X0)),
inference(superposition,[status(thm)],[c_17674,c_52]) ).
cnf(c_18080,plain,
eta(eta(X0)) = one,
inference(light_normalisation,[status(thm)],[c_18046,c_271]) ).
cnf(c_18454,plain,
difference(eta(X0),product(eta(X0),X1)) = product(eta(eta(X0)),X1),
inference(superposition,[status(thm)],[c_17788,c_491]) ).
cnf(c_18496,plain,
difference(eta(X0),product(eta(X0),X1)) = product(one,X1),
inference(light_normalisation,[status(thm)],[c_18454,c_18080]) ).
cnf(c_19960,plain,
t(sP0_iProver_def,product(X0,sP0_iProver_def)) = product(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_7766,c_67]) ).
cnf(c_20834,plain,
product(sP0_iProver_def,quotient(X0,sP0_iProver_def)) = t(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_54,c_19960]) ).
cnf(c_21365,plain,
quotient(t(sP0_iProver_def,X0),quotient(X0,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_20834,c_53]) ).
cnf(c_21546,plain,
quotient(sP1_iProver_def,quotient(x1,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_139,c_21365]) ).
cnf(c_21547,plain,
quotient(sP2_iProver_def,quotient(x2,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_140,c_21365]) ).
cnf(c_21548,plain,
quotient(sP5_iProver_def,quotient(sP4_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_143,c_21365]) ).
cnf(c_21620,plain,
difference(sP0_iProver_def,sP1_iProver_def) = quotient(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_21546,c_312]) ).
cnf(c_21627,plain,
difference(sP0_iProver_def,sP2_iProver_def) = quotient(x2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_21547,c_312]) ).
cnf(c_21656,plain,
product(i(i(sP0_iProver_def)),quotient(sP4_iProver_def,sP0_iProver_def)) = product(eta(sP0_iProver_def),sP5_iProver_def),
inference(superposition,[status(thm)],[c_21548,c_419]) ).
cnf(c_21660,plain,
product(product(sP0_iProver_def,one),quotient(sP4_iProver_def,sP0_iProver_def)) = product(one,sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_21656,c_6587,c_6603,c_17619]) ).
cnf(c_22051,plain,
quotient(quotient(product(X0,product(sP0_iProver_def,X1)),X1),sP0_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_7767,c_55,c_948]) ).
cnf(c_22058,plain,
quotient(quotient(X0,X1),sP0_iProver_def) = quotient(X0,product(sP0_iProver_def,X1)),
inference(superposition,[status(thm)],[c_54,c_22051]) ).
cnf(c_50896,plain,
quotient(product(X0,product(X1,eta(X2))),eta(X2)) = product(X0,X1),
inference(demodulation,[status(thm)],[c_811,c_50,c_18496]) ).
cnf(c_50902,plain,
product(quotient(X0,product(X1,eta(X2))),X1) = quotient(X0,eta(X2)),
inference(superposition,[status(thm)],[c_54,c_50896]) ).
cnf(c_61165,plain,
product(difference(sP0_iProver_def,sP1_iProver_def),sP2_iProver_def) = difference(sP0_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_141,c_17226]) ).
cnf(c_61289,plain,
product(quotient(x1,sP0_iProver_def),sP2_iProver_def) = difference(sP0_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_61165,c_21620]) ).
cnf(c_67040,plain,
quotient(product(X0,X1),product(sP0_iProver_def,X1)) = quotient(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_53,c_22058]) ).
cnf(c_89214,plain,
quotient(product(X0,difference(sP0_iProver_def,X1)),X1) = quotient(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_51,c_67040]) ).
cnf(c_126340,plain,
product(quotient(X0,sP0_iProver_def),X1) = product(X0,difference(sP0_iProver_def,X1)),
inference(superposition,[status(thm)],[c_89214,c_54]) ).
cnf(c_126422,plain,
product(x1,difference(sP0_iProver_def,sP2_iProver_def)) = difference(sP0_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_61289,c_126340]) ).
cnf(c_126429,plain,
product(x1,quotient(x2,sP0_iProver_def)) = difference(sP0_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_126422,c_21627]) ).
cnf(c_365868,plain,
( sP3_iProver_def != X0
| sP5_iProver_def != X0
| sP3_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_365871,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_365877,plain,
( X0 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_365871]) ).
cnf(c_365883,plain,
( product(one,sP3_iProver_def) != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = product(one,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_365877]) ).
cnf(c_365884,plain,
product(one,sP3_iProver_def) = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_365912,plain,
( sP3_iProver_def != product(one,sP3_iProver_def)
| sP5_iProver_def != product(one,sP3_iProver_def)
| sP3_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_365868]) ).
cnf(c_365967,plain,
( product(one,sP3_iProver_def) != X0
| sP5_iProver_def != X0
| sP5_iProver_def = product(one,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_366338,plain,
( product(one,sP3_iProver_def) != product(X0,X1)
| sP5_iProver_def != product(X0,X1)
| sP5_iProver_def = product(one,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_365967]) ).
cnf(c_385520,plain,
( product(one,sP3_iProver_def) != product(one,sP5_iProver_def)
| sP5_iProver_def != product(one,sP5_iProver_def)
| sP5_iProver_def = product(one,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_366338]) ).
cnf(c_533429,plain,
product(quotient(X0,product(X1,sP0_iProver_def)),X1) = quotient(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_138,c_50902]) ).
cnf(c_534162,plain,
product(quotient(X0,X1),quotient(X1,sP0_iProver_def)) = quotient(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_54,c_533429]) ).
cnf(c_536822,plain,
product(x1,quotient(x2,sP0_iProver_def)) = quotient(sP4_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_288,c_534162]) ).
cnf(c_537253,plain,
difference(sP0_iProver_def,sP3_iProver_def) = quotient(sP4_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_126429,c_536822]) ).
cnf(c_538113,plain,
product(i(i(sP0_iProver_def)),quotient(sP4_iProver_def,sP0_iProver_def)) = product(eta(sP0_iProver_def),sP3_iProver_def),
inference(superposition,[status(thm)],[c_537253,c_418]) ).
cnf(c_538146,plain,
product(one,sP3_iProver_def) = product(one,sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_538113,c_6587,c_6603,c_17619,c_21660]) ).
cnf(c_538154,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_538146,c_385520,c_365912,c_365884,c_365883,c_2020,c_455,c_454,c_400,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP768-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:51:19 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.42 Running UEQ theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 208.42/27.13 % SZS status Started for theBenchmark.p
% 208.42/27.13 % SZS status Unsatisfiable for theBenchmark.p
% 208.42/27.13
% 208.42/27.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 208.42/27.13
% 208.42/27.13 ------ iProver source info
% 208.42/27.13
% 208.42/27.13 git: date: 2024-05-02 19:28:25 +0000
% 208.42/27.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 208.42/27.13 git: non_committed_changes: false
% 208.42/27.13
% 208.42/27.13 ------ Parsing...successful
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 208.42/27.13
% 208.42/27.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 208.42/27.13
% 208.42/27.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 208.42/27.13 ------ Proving...
% 208.42/27.13 ------ Problem Properties
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13 clauses 26
% 208.42/27.13 conjectures 1
% 208.42/27.13 EPR 1
% 208.42/27.13 Horn 26
% 208.42/27.13 unary 26
% 208.42/27.13 binary 0
% 208.42/27.13 lits 26
% 208.42/27.13 lits eq 26
% 208.42/27.13 fd_pure 0
% 208.42/27.13 fd_pseudo 0
% 208.42/27.13 fd_cond 0
% 208.42/27.13 fd_pseudo_cond 0
% 208.42/27.13 AC symbols 0
% 208.42/27.13
% 208.42/27.13 ------ Input Options Time Limit: Unbounded
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13 ------
% 208.42/27.13 Current options:
% 208.42/27.13 ------
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13 ------ Proving...
% 208.42/27.13
% 208.42/27.13
% 208.42/27.13 % SZS status Unsatisfiable for theBenchmark.p
% 208.42/27.13
% 208.42/27.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 208.42/27.13
% 208.42/27.13
%------------------------------------------------------------------------------